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Real Analog - Circuits 1Chapter 1: Lab Worksheets
Real Analog – Circuits 1Chapter 1.4.1: Dusk-to-dawn Light
1.4.1: Dusk-to-dawn Light (20 points total)
1. Provide below the calculated values of VB for photocell
resistances of 5K and 20K. (5 pts)
2. Provide below measured values of VB for photocell
resistances of 5K and 20K and comparison with calculated
values. (8 pts)
3. DEMO: Have a teaching assistant initial this sheet, indicating
that they have observed your circuits’ operation. (7 pts)
TA Initials: _______
© 2012 Digilent, Inc.
1
© 2012 Digilent, Inc.
2
Real Analog - Circuits 1
Chapter 1: Lab Projects
© 2012 Digilent, Inc. 1
1.4.1: Dusk-to-Dawn Light
Overview:
In this lab, we will create our first circuit which appears to “do”
something which is readily perceivable without
instrumentation. The circuit operates as a “dusk-to-dawn” light;
the circuit turns a light on when the ambient
light level goes below a certain level.
Before beginning this lab, you should be able to: After
completing this lab, you should be able to:
current calculations for resistive circuit
elements
resistance, current, and voltage (Labs 1.1,
1.2.1)
1.2.2)
the resistor’s nominal resistance
dependent source
esistor to measure ambient light
levels
overall system
This lab exercise requires:
Symbol Key:
Demonstrate circuit operation to teaching assistant; teaching
assistant should initial lab notebook and
grade sheet, indicating that circuit operation is acceptable.
Analysis; include principle results of analysis in laboratory
report.
Numerical simulation (using PSPICE or MATLAB as indicated);
include results of MATLAB
numerical analysis and/or simulation in laboratory report.
Record data in your lab notebook.
Real Analog – Circuits 1
Lab Project 1.4.1: Dusk-to-Dawn Light
© 2012 Digilent, Inc. 2
General Discussion:
In this part of the lab assignment, we will create a light-
sensitive lighting system. A photocell – a light-sensitive
resistor – will be used to sense the ambient light level. A
Bipolar Junction Transistor (BJT) will be used as a switch
to turn on a light-emitting diode when the ambient light level
becomes low. The circuit we will use is shown in
Figure 1.
Figure 1. Dusk-to-dawn lighting circuit.
There are several unfamiliar components in the circuit of Figure
1: a photocell, an LED, and a BJT. A detailed
understanding of the operation of these components is beyond
the scope of this lab, but a brief overview of their
operating characteristics is provided below. Later courses in a
typical electrical engineering curriculum will
provide background information necessary to fully understand
these components.
Diodes and LEDs:
Diodes are two-terminal semiconductor devices that conduct
current in only one direction. The terminals of
a diode are called the anode and the cathode; diodes are
intended to conduct current from the anode to the
cathode. Diodes have a minimum threshold voltage (or Vth,
usually around 0.7V) that must be present
between the anode and cathode in order for current to flow. If
the anode voltage is not at least Vth greater than
the cathode voltage, no current will flow. Likewise, if the
cathode voltage is greater than the anode voltage, the
diode is said to be reverse-biased and no current will flow. In an
ideal diode, if the diode voltage equals the
threshold voltage (plus a small amount), then unlimited current
can flow without causing the voltage across
the diode to increase. And, if the diode is reversed-biased, no
current will flow regardless of reverse-voltage
magnitude
As with diodes, LED's are two-terminal semiconductor devices
that conduct current in only one direction
(from the anode to the cathode). The small LED chips are
secured inside a plastic housing, and they emit light
at a given frequency when a small electric current (typically
10mA to 25mA) flows through them. When the
voltage difference across the LED exceeds the threshold voltage
of the LED, current flows through the LED
and light is emitted. If the LED voltage is less than the
threshold voltage, no current flows and no light is
emitted. LEDs are available in a number of colors; the Digilent
analog parts kit contains red, yellow, and
green LEDs.
Real Analog – Circuits 1
Lab Project 1.4.1: Dusk-to-Dawn Light
© 2012 Digilent, Inc. 3
Since LEDs are polarized devices, they must be placed in the
circuit with the correct orientation; the anode
must be at higher voltage potential than the cathode in order for
the diode to emit light. An LED schematic
symbol is shown in Figure 2 below, together with a sketch of a
physical LED. The anode and cathode on a
physical LED can be identified because the anode pin is longer
than the cathode pin and the cathode side of
the plastic diffusion lens is typically slightly flattened.
Figure 2. LED schematic symbol and physical appearance.
Bipolar Junction Transistors (BJTs):
In Lab 1.2.1, we used a MOSFET as a voltage controlled current
source. Bipolar Junction Transistors, BJTs,
are also conveniently modeled as dependent sources. Like
MOSFETs, BJTs are three-terminal devices; the
terminals of a BJT are called the base (B), the collector (C), and
the emitter (E). The symbol commonly used
to represent the type of BJT we will be using is shown in Figure
3(a). Our circuit employs a 2N3904 BJT; the
physical appearance of this BJT is shown in Figure 3(b), along
with the relative locations of the base, collector,
and emitter for that BJT.
(a) BJT symbol (b) 2N3904 BJT
Figure 3. BJT symbol and physical appearance of 2N3904 BJT.
An extremely simplified discussion of a BJT’s operation is as
follows: application of voltage to the base of the
BJT allows current to flow from the collector to the emitter of
the BJT. Typically the current flowing into the
base of the BJT is much smaller than the collector and emitter
currents. Thus, the BJT can be conceptualized
as a current controlled current source. Thus, if a power supply
is connected to the collector of the BJT, the
base voltage of the BJT can be used to control BJT’s emitter
current: increasing the base voltage typically
increases the emitter current. In the case of two relatively
discrete values of base voltage, the BJT can act as a
Real Analog – Circuits 1
Lab Project 1.4.1: Dusk-to-Dawn Light
© 2012 Digilent, Inc. 4
switch; low base voltages turn off the switch (the emitter
current is zero) while high base voltages turn the
switch on (the emitter current is non-zero).
Photocell:
Photocells (sometimes called photoresistors or photoconductors)
are devices whose resistance changes
according to the light intensity applied to the sensor. The
photocells in the Digilent analog parts kits have
levels. A variable resistor is commonly indicated on a circuit
schematic by a resistor symbol with an arrow
through it, as shown in Figure 4.
Figure 4. Variable resistor circuit symbol.
Pre-lab:
Apply KVL around the outer loop of the circuit of Figure 1 (as
shown in Figure 5) to determine
You may assume that the current into
the base of the BJT is negligible.
+
- 5V
10kΩ
Photocell
IC
IE≈IC
IB»0
VB
+
-
VD
+
-
KVL
Figure 5. Circuit analysis to determine BJT base voltage.
Real Analog – Circuits 1
Lab Project 1.4.1: Dusk-to-Dawn Light
© 2012 Digilent, Inc. 5
Lab Procedures:
1. Construct the circuit shown in Figure 1. The LED should not
light under normal light levels.
Using the scope instrument on your Analog Discovery (or a
DMM), measure the base voltage of
the BJT (VB in Figure 5) and the voltage difference across the
diode (VD in Figure 5). Record these
voltages in your lab notebook and compare them with your
calculated values from the prelab.
2. Cover the photocell; the LED should light up. Using the
scope instrument on your Analog
Discovery (or a DMM), measure the base voltage of the BJT
(VB in Figure 5) and the voltage
difference across the diode (VD in Figure 5). Record these
voltages in your lab notebook and
compare them with your calculated values from the prelab.
3. Demonstrate operation of your circuit to the Teaching
Assistant. Have the TA initial the
appropriate page(s) of your lab notebook and the lab checklist.
Real Analog - Circuits 1Chapter 1: Lab Worksheets
Real Analog – Circuits 1Chapter 1.2.2: Dependent Sources and
MOSFETs
1.2.2: Dependent Sources and MOSFETs (55 points total)
1. Diagram of circuit, including measured resistance value. (5
pts)
2. What MOSFET threshold voltage. (10 pts)
3. Attach to this worksheet a table providing your measured
gate-to-source voltage vs. drain current values and a plot of
data. (15 pts)
4. What type of dependent source is the transistor behaving
like? Why? (5 pts)
5. Estimated value of g for circuit. Annotate the plot attached
to this worksheet, indicating how the value of g was
determined. (10 pts)
6. DEMO: Have a teaching assistant initial this sheet, indicating
that they have observed your circuits’ operation. (10 pts)
TA Initials: _______
© 2012 Digilent, Inc.
1
© 2012 Digilent, Inc.
2
Real Analog - Circuits 1
Chapter 1: Lab Projects
© 2012 Digilent, Inc. 1
1.2.2: Dependent Sources and MOSFETs
Overview:
In this lab assignment, a qualitative discussion of dependent
sources is presented in the context of MOSFETs
(Metal Oxide Semiconductor Field Effect Transistors). A
simple voltage controlled current source is constructed
and tested.
Before beginning this lab, you should be able to: After
completing this lab, you should be able to:
(Lab 1.2.1)
the Analog Discovery power supplies to
apply a fixed 5V voltage (Lab 1.2.1)
measure a constant voltage (Lab 1.2.1)
current sources
types
of dependent sources
to apply constant voltages
This lab exercise requires:
Symbol Key:
Demonstrate circuit operation to teaching assistant; teaching
assistant should initial lab notebook and
grade sheet, indicating that circuit operation is acceptable.
Analysis; include principle results of analysis in laboratory
report.
Numerical simulation (using PSPICE or MATLAB as indicated);
include results of MATLAB
numerical analysis and/or simulation in laboratory report.
Record data in your lab notebook.
Real Analog – Circuits 1
Lab Project 1.2.2: Dependent Sources and MOSFETs
© 2012 Digilent, Inc. 2
General Discussion:
Many common circuit elements are modeled as dependent
sources – that is, the mathematics describing the
operation of the element is conveniently described by the
equations governing a dependent source. In this
portion of the lab assignment, we will build and test a circuit
which acts as a Voltage Controlled Current Source
(VCCS).
The primary circuit element used in this assignment is a Metal
Oxide Semiconductor Field Effect Transistor
(MOSFET). There are two basic types of MOSFETs: n-channel
and p-channel; the discussion presented here is for
n-channel MOSFETs, though similar concepts apply to p-
channel MOSFETs. A MOSFET is a three-terminal
device; the symbol commonly used to represent a MOSFET in
circuit diagrams is shown in Figure 1(a). The three
terminals of the device are called the source (S), the drain (D)
and the gate (G). Our circuit will employ a
ZVN2210A MOSFET; the physical appearance of this MOSFET
is shown in Figure 1(b), along with the relative
locations of the drain, gate and source for that model MOSFET.
An extremely simplified discussion of a MOSFET’s operation is
as follows: A “channel” is opened in the MOSFET
by application of a voltage at the gate of the MOSFET. This
channel allows current to flow from the drain to the
source of the MOSFET (iD in Figure 1(a)). Thus, if a power
supply is connected to the drain of the MOSFET, the
MOSFET can be used to control the power supply’s current:
increasing the gate voltage increases the current out
of the power supply. A rough analogy to this process is a valve
placed at the base of a water tank – opening the
valve allows water to flow out of the tank. Likewise, increasing
the gate voltage allows current to “flow” out of the
power supply. A MOSFET, therefore, in conjunction with a
power supply, can act as a voltage controlled current
source in which the drain current is controlled by the gate
voltage.
(a) MOSFET symbol (b) ZVN2110A
MOSFET
Figure 1. MOSFET symbol and typical physical appearance.
Pre-lab: None
Real Analog – Circuits 1
Lab Project 1.2.2: Dependent Sources and MOSFETs
© 2012 Digilent, Inc. 3
Lab Procedures:
1. Connect the circuit shown in Figure 2. Two power supplied
are used in the circuit. Use channel 1
of your Arbitrary Waveform Generator (W1) to apply the
(variable) gate voltage, VG. Use of the
waveform generator to apply constant voltages is presented in
Appendix A of this assignment.
Use the positive power supply (VP+) to provide a constant 5V
to the MOSFET drain; this power
supply provides the drain current ID.
current flowing through the
MOSFET. If no resistor is used between the power supply and
the MOSFET, an excessive amount
of current can flow through the MOSFET resulting in damage to
the MOSFET and/or the rest of
identified by the color bands on the
side of the resistor – they will be as shown in Figure 3. We will
discuss resistors in detail in later
modules. Use an ohmmeter to measure the resistance of the
resistor and record this value in your
lab notebook (the actual resistance will most likely be slightly
Connect your DMM as shown in Figure 2 to measure the current
ID.
+
- 5V
100Ω
ID
VG
+
-
ZVN2110
A
DMM
Figure 2. VCCS circuit schematic.
2. MOSFETs have a threshold voltage, below which essentially
no current passes through the
MOSFET. To determine the threshold voltage for our MOSFET,
begin with zero voltage applied
at the gate by the variable voltage source VG (VG = 0V). The
drain current, with no voltage
applied at the gate, should be essentially zero. Gradually
increase the MOSFET gate voltage while
monitoring the MOSFET drain current ID. Record in your lab
notebook the voltage at which the
drain current begins to increase significantly. This is the
MOSFET’s threshold voltage.
Real Analog – Circuits 1
Lab Project 1.2.2: Dependent Sources and MOSFETs
© 2012 Digilent, Inc. 4
3. Now characterize the MOSFET’s relationship between gate
voltage and drain current. Starting at
the threshold voltage, continue to increase the gate voltage at
increments of about 0.3V up to a
maximum of about 5V. Record the gate voltages and their
corresponding drain currents in your
lab notebook. Plot the gate voltage vs. drain current data in
your lab notebook. Comment on
your observations relative to the data, especially relative to how
the circuit behaves like a
dependent source.
4. The parameter g of a VCCS provides a relationship between
the rate of change between the
applied voltage and the resulting current. This is essentially the
slope of the data you plotted in
part 3 above. Use the curve of part 3 to estimate the value of g
for the circuit you built. Note:
Your curve will most likely not be a straight line. Do your best
to fit a straight line to the data you
acquired in part 3 for your estimate of g.
5. Demonstrate operation of your circuit to the Teaching
Assistant. Have the TA initial the
appropriate page(s) of your lab notebook and the lab checklist.
Yellow
Violet
Black
Gold
Real Analog – Circuits 1
Lab Project 1.2.2: Dependent Sources and MOSFETs
© 2012 Digilent, Inc. 5
Appendix A – Waveform Generator to apply constant voltages
The Voltage instrument on the Analog Discovery provides the
Sometimes, however, it is desirable to apply arbitrary voltages
to a circuit. The waveform generator on the Analog
Discover provides this capability. To do this, follow the steps
below:
1. Click on the WaveGen icon in the WaveForms main window
to open the waveform generator window. This
window should appear approximately as shown below:
2. There are a series on icons in a column in the lower-left
corner of the screen. These icons allow you to select
the “shape” of the waveform which will be applied to your
circuit. (If the icons are not visible, click on the
Basic tab (if it is not already selected) and then click on the
Standard option. The icons indicating the shape
of the available waveforms should appear.) In order to apply a
constant voltage, click on the icon.
The waveform generator window should alter its appearance so
that it looks as shown below. The button to
the immediate left of the button should appear as . If it displays
Enabled, click on
it to disable the waveform generator.
Real Analog – Circuits 1
Lab Project 1.2.2: Dependent Sources and MOSFETs
© 2012 Digilent, Inc. 6
3. The value of the constant voltage to be applied to the circuit
is specified in the Offset column (the value is
limited to between +5V and -5V). The desired value can be set
with any of the following approaches:
ton in the text box and selecting a value
from the resulting drop-down menu, or
the Enter button on your keyboard.
4. Click on to apply power to channel 1 (W1) of the waveform
generator. (Each waveform
generator channel has its own interface, you can select the
desired channel with the
button.) Clicking on the button automatically enables the
function generator; the button to
the immediate left of the button should now appear as .
Important notes relative to the Enabled/Disabled button:
“disable” the AWG. This
button is used to turn off all power provided by the waveform
generator channel. Thus, if you are
working on your circuit with the waveform generator probes are
connected, this button should always be
set to .
removes the time-varying
component of the signal, not any constant components. If we are
applying only a constant voltage to the
circuit (as in this lab assignment), the button has no effect on
the voltages being applied to
the circuit.
that both time-varying and
constant components are applied to the circuit.
power applied by the waveform generator.
5. To turn off power to your circuit, click on the button so that
it displays .
Real Analog - Circuits 1Chapter 1: Lab Worksheets
Real Analog – Circuits 1Chapter 1.1: Breadboards and
Ohmmeters
1.1: Breadboards and Ohmmeters (20 points total)
1. Provide the resistance you measured between two holes in
same row. State whether these operate as open or closed
circuit. (5 pts)
2. Provide the resistance you measured between two holes
opposite sides of channel. Characterize as open or closed
circuit. (5 pts)
3. Provide the resistance you measured between two arbitrary
holes in the breadboard. Characterize as open or closed circuit.
(5 pts)
4. Provide the resistance you measured between holes connected
by a jumper wire. Characterize as open or closed circuit. (5
pts)
© 2012 Digilent, Inc.
1
© 2012 Digilent, Inc.
2
Real Analog - Circuits 1
Chapter 1: Lab Projects
© 2012 Digilent, Inc. 1
1.1: Solderless Breadboards, Open-circuits and Short-circuits
Overview:
The purpose of this lab assignment is to provide users with an
introduction to some of the equipment which will
be used in subsequent lab assignments. The following topics
are discussed:
The concept of electrical resistance is introduced qualitatively
in this lab assignment. A more rigorous discussion
of resistance will be presented in later modules and explored
more thoroughly in later lab assignments.
Before beginning this lab, you should be able to: After
completing this lab, you should be able to:
solderless breadboard (see related
background material relative to
breadboards)
resistance (see related material relative to
DMMs)
notebook (see related materials relative to
lab notebooks)
to connect electrical
components
breadboard
This lab exercise requires:
-held DMM
Symbol Key:
Demonstrate circuit operation to teaching assistant; teaching
assistant should initial lab notebook and
grade sheet, indicating that circuit operation is acceptable.
Analysis; include principle results of analysis in laboratory
report.
Numerical simulation (using PSPICE or MATLAB as indicated);
include results of MATLAB
numerical analysis and/or simulation in laboratory report.
Record data in your lab notebook.
Real Analog – Circuits 1
Lab Project 1.1: Solderless Breadboards, Open-circuits and
Short-circuits
© 2012 Digilent, Inc. 2
General Discussion:
In this portion of the lab assignment, we will examine the
connections between different holes in your breadboard
using a DMM as an ohmmeter. Specifically, we will see which
connections correspond to open circuits and short
circuits. We will use jumper wires to change the connectivity
between holes on the breadboard.
Pre-lab: None
Lab Procedures:
In this portion of the assignment, we will use the DMM as an
ohmmeter to check the connectivity of different
nodes on a breadboard. In the circuits below, you may need to
use jumper wires in to assist in the connection
between the DMM leads and the breadboard.
1. Using your DMM as an ohmmeter, connect the leads of the
DMM to two holes in the same row
on your breadboard, as shown in Figure 1(a) below. The DMM
should indicate a very low
resistance between the holes --- generally fractions of an ohm.
Record your results in your lab
notebook.
2. Check the resistance between two rows of holes on opposite
sides of the central channel of the
breadboard, as shown in Figure 1(b) below. Your DMM should
indicate a very high --- or infinite
--- resistance between the holes. Record your results in your
lab notebook.
Note:
Different ohmmeters have different ways of indicating what
they consider to be an infinite resistance. For
example, some models may read out an overload (sometimes
displayed as OL or a ‘‘flashing’’ number)
condition.
3. Check the resistance between two arbitrary holes (not in the
same row) of your breadboard (e.g.
between nodes a and c in Figure 1(b). Your DMM should again
indicate a very high or infinite
resistance. Record your results in your lab notebook.
4. Finally, use a jumper wire to connect two different rows on
the breadboard. Add a jumper wire
between nodes a and c as shown in Figure 1(c). The DMM
should indicate that the resistance
between these nodes is now very low. Record your results in
your lab notebook.
In your lab notebook, comment on whether the connections in
lab procedures 1 --- 4 correspond to
‘‘open circuit’’ or ‘‘short circuit’’ conditions.
Real Analog – Circuits 1
Lab Project 1.1: Solderless Breadboards, Open-circuits and
Short-circuits
© 2012 Digilent, Inc. 3
Figure 1(a).
Figure 1(b)
Figure 1(c)

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Real Analog - Circuits 1Chapter 1 Lab WorksheetsReal Analog – .docx

  • 1. Real Analog - Circuits 1Chapter 1: Lab Worksheets Real Analog – Circuits 1Chapter 1.4.1: Dusk-to-dawn Light 1.4.1: Dusk-to-dawn Light (20 points total) 1. Provide below the calculated values of VB for photocell resistances of 5K and 20K. (5 pts) 2. Provide below measured values of VB for photocell resistances of 5K and 20K and comparison with calculated values. (8 pts) 3. DEMO: Have a teaching assistant initial this sheet, indicating that they have observed your circuits’ operation. (7 pts) TA Initials: _______ © 2012 Digilent, Inc. 1
  • 2. © 2012 Digilent, Inc. 2 Real Analog - Circuits 1 Chapter 1: Lab Projects © 2012 Digilent, Inc. 1 1.4.1: Dusk-to-Dawn Light Overview: In this lab, we will create our first circuit which appears to “do” something which is readily perceivable without instrumentation. The circuit operates as a “dusk-to-dawn” light; the circuit turns a light on when the ambient light level goes below a certain level. Before beginning this lab, you should be able to: After completing this lab, you should be able to: current calculations for resistive circuit elements resistance, current, and voltage (Labs 1.1, 1.2.1)
  • 3. 1.2.2) the resistor’s nominal resistance dependent source esistor to measure ambient light levels overall system This lab exercise requires: Symbol Key: Demonstrate circuit operation to teaching assistant; teaching assistant should initial lab notebook and grade sheet, indicating that circuit operation is acceptable. Analysis; include principle results of analysis in laboratory report. Numerical simulation (using PSPICE or MATLAB as indicated); include results of MATLAB numerical analysis and/or simulation in laboratory report.
  • 4. Record data in your lab notebook. Real Analog – Circuits 1 Lab Project 1.4.1: Dusk-to-Dawn Light © 2012 Digilent, Inc. 2 General Discussion: In this part of the lab assignment, we will create a light- sensitive lighting system. A photocell – a light-sensitive resistor – will be used to sense the ambient light level. A Bipolar Junction Transistor (BJT) will be used as a switch to turn on a light-emitting diode when the ambient light level becomes low. The circuit we will use is shown in Figure 1. Figure 1. Dusk-to-dawn lighting circuit. There are several unfamiliar components in the circuit of Figure 1: a photocell, an LED, and a BJT. A detailed understanding of the operation of these components is beyond the scope of this lab, but a brief overview of their operating characteristics is provided below. Later courses in a typical electrical engineering curriculum will provide background information necessary to fully understand these components. Diodes and LEDs: Diodes are two-terminal semiconductor devices that conduct current in only one direction. The terminals of a diode are called the anode and the cathode; diodes are
  • 5. intended to conduct current from the anode to the cathode. Diodes have a minimum threshold voltage (or Vth, usually around 0.7V) that must be present between the anode and cathode in order for current to flow. If the anode voltage is not at least Vth greater than the cathode voltage, no current will flow. Likewise, if the cathode voltage is greater than the anode voltage, the diode is said to be reverse-biased and no current will flow. In an ideal diode, if the diode voltage equals the threshold voltage (plus a small amount), then unlimited current can flow without causing the voltage across the diode to increase. And, if the diode is reversed-biased, no current will flow regardless of reverse-voltage magnitude As with diodes, LED's are two-terminal semiconductor devices that conduct current in only one direction (from the anode to the cathode). The small LED chips are secured inside a plastic housing, and they emit light at a given frequency when a small electric current (typically 10mA to 25mA) flows through them. When the voltage difference across the LED exceeds the threshold voltage of the LED, current flows through the LED and light is emitted. If the LED voltage is less than the threshold voltage, no current flows and no light is emitted. LEDs are available in a number of colors; the Digilent analog parts kit contains red, yellow, and green LEDs. Real Analog – Circuits 1 Lab Project 1.4.1: Dusk-to-Dawn Light © 2012 Digilent, Inc. 3
  • 6. Since LEDs are polarized devices, they must be placed in the circuit with the correct orientation; the anode must be at higher voltage potential than the cathode in order for the diode to emit light. An LED schematic symbol is shown in Figure 2 below, together with a sketch of a physical LED. The anode and cathode on a physical LED can be identified because the anode pin is longer than the cathode pin and the cathode side of the plastic diffusion lens is typically slightly flattened. Figure 2. LED schematic symbol and physical appearance. Bipolar Junction Transistors (BJTs): In Lab 1.2.1, we used a MOSFET as a voltage controlled current source. Bipolar Junction Transistors, BJTs, are also conveniently modeled as dependent sources. Like MOSFETs, BJTs are three-terminal devices; the terminals of a BJT are called the base (B), the collector (C), and the emitter (E). The symbol commonly used to represent the type of BJT we will be using is shown in Figure 3(a). Our circuit employs a 2N3904 BJT; the physical appearance of this BJT is shown in Figure 3(b), along with the relative locations of the base, collector, and emitter for that BJT. (a) BJT symbol (b) 2N3904 BJT Figure 3. BJT symbol and physical appearance of 2N3904 BJT. An extremely simplified discussion of a BJT’s operation is as follows: application of voltage to the base of the BJT allows current to flow from the collector to the emitter of the BJT. Typically the current flowing into the base of the BJT is much smaller than the collector and emitter currents. Thus, the BJT can be conceptualized
  • 7. as a current controlled current source. Thus, if a power supply is connected to the collector of the BJT, the base voltage of the BJT can be used to control BJT’s emitter current: increasing the base voltage typically increases the emitter current. In the case of two relatively discrete values of base voltage, the BJT can act as a Real Analog – Circuits 1 Lab Project 1.4.1: Dusk-to-Dawn Light © 2012 Digilent, Inc. 4 switch; low base voltages turn off the switch (the emitter current is zero) while high base voltages turn the switch on (the emitter current is non-zero). Photocell: Photocells (sometimes called photoresistors or photoconductors) are devices whose resistance changes according to the light intensity applied to the sensor. The photocells in the Digilent analog parts kits have levels. A variable resistor is commonly indicated on a circuit schematic by a resistor symbol with an arrow through it, as shown in Figure 4. Figure 4. Variable resistor circuit symbol. Pre-lab: Apply KVL around the outer loop of the circuit of Figure 1 (as shown in Figure 5) to determine
  • 8. You may assume that the current into the base of the BJT is negligible. + - 5V 10kΩ Photocell IC IE≈IC IB»0 VB + - VD + - KVL Figure 5. Circuit analysis to determine BJT base voltage. Real Analog – Circuits 1 Lab Project 1.4.1: Dusk-to-Dawn Light
  • 9. © 2012 Digilent, Inc. 5 Lab Procedures: 1. Construct the circuit shown in Figure 1. The LED should not light under normal light levels. Using the scope instrument on your Analog Discovery (or a DMM), measure the base voltage of the BJT (VB in Figure 5) and the voltage difference across the diode (VD in Figure 5). Record these voltages in your lab notebook and compare them with your calculated values from the prelab. 2. Cover the photocell; the LED should light up. Using the scope instrument on your Analog Discovery (or a DMM), measure the base voltage of the BJT (VB in Figure 5) and the voltage difference across the diode (VD in Figure 5). Record these voltages in your lab notebook and compare them with your calculated values from the prelab. 3. Demonstrate operation of your circuit to the Teaching Assistant. Have the TA initial the appropriate page(s) of your lab notebook and the lab checklist. Real Analog - Circuits 1Chapter 1: Lab Worksheets Real Analog – Circuits 1Chapter 1.2.2: Dependent Sources and MOSFETs 1.2.2: Dependent Sources and MOSFETs (55 points total) 1. Diagram of circuit, including measured resistance value. (5 pts)
  • 10. 2. What MOSFET threshold voltage. (10 pts) 3. Attach to this worksheet a table providing your measured gate-to-source voltage vs. drain current values and a plot of data. (15 pts) 4. What type of dependent source is the transistor behaving like? Why? (5 pts) 5. Estimated value of g for circuit. Annotate the plot attached to this worksheet, indicating how the value of g was determined. (10 pts) 6. DEMO: Have a teaching assistant initial this sheet, indicating that they have observed your circuits’ operation. (10 pts) TA Initials: _______ © 2012 Digilent, Inc. 1 © 2012 Digilent, Inc. 2
  • 11. Real Analog - Circuits 1 Chapter 1: Lab Projects © 2012 Digilent, Inc. 1 1.2.2: Dependent Sources and MOSFETs Overview: In this lab assignment, a qualitative discussion of dependent sources is presented in the context of MOSFETs (Metal Oxide Semiconductor Field Effect Transistors). A simple voltage controlled current source is constructed and tested. Before beginning this lab, you should be able to: After completing this lab, you should be able to: (Lab 1.2.1) the Analog Discovery power supplies to apply a fixed 5V voltage (Lab 1.2.1) measure a constant voltage (Lab 1.2.1) current sources types of dependent sources
  • 12. to apply constant voltages This lab exercise requires: Symbol Key: Demonstrate circuit operation to teaching assistant; teaching assistant should initial lab notebook and grade sheet, indicating that circuit operation is acceptable. Analysis; include principle results of analysis in laboratory report. Numerical simulation (using PSPICE or MATLAB as indicated); include results of MATLAB numerical analysis and/or simulation in laboratory report. Record data in your lab notebook. Real Analog – Circuits 1 Lab Project 1.2.2: Dependent Sources and MOSFETs © 2012 Digilent, Inc. 2 General Discussion: Many common circuit elements are modeled as dependent sources – that is, the mathematics describing the
  • 13. operation of the element is conveniently described by the equations governing a dependent source. In this portion of the lab assignment, we will build and test a circuit which acts as a Voltage Controlled Current Source (VCCS). The primary circuit element used in this assignment is a Metal Oxide Semiconductor Field Effect Transistor (MOSFET). There are two basic types of MOSFETs: n-channel and p-channel; the discussion presented here is for n-channel MOSFETs, though similar concepts apply to p- channel MOSFETs. A MOSFET is a three-terminal device; the symbol commonly used to represent a MOSFET in circuit diagrams is shown in Figure 1(a). The three terminals of the device are called the source (S), the drain (D) and the gate (G). Our circuit will employ a ZVN2210A MOSFET; the physical appearance of this MOSFET is shown in Figure 1(b), along with the relative locations of the drain, gate and source for that model MOSFET. An extremely simplified discussion of a MOSFET’s operation is as follows: A “channel” is opened in the MOSFET by application of a voltage at the gate of the MOSFET. This channel allows current to flow from the drain to the source of the MOSFET (iD in Figure 1(a)). Thus, if a power supply is connected to the drain of the MOSFET, the MOSFET can be used to control the power supply’s current: increasing the gate voltage increases the current out of the power supply. A rough analogy to this process is a valve placed at the base of a water tank – opening the valve allows water to flow out of the tank. Likewise, increasing the gate voltage allows current to “flow” out of the power supply. A MOSFET, therefore, in conjunction with a power supply, can act as a voltage controlled current source in which the drain current is controlled by the gate voltage.
  • 14. (a) MOSFET symbol (b) ZVN2110A MOSFET Figure 1. MOSFET symbol and typical physical appearance. Pre-lab: None Real Analog – Circuits 1 Lab Project 1.2.2: Dependent Sources and MOSFETs © 2012 Digilent, Inc. 3 Lab Procedures: 1. Connect the circuit shown in Figure 2. Two power supplied are used in the circuit. Use channel 1 of your Arbitrary Waveform Generator (W1) to apply the (variable) gate voltage, VG. Use of the waveform generator to apply constant voltages is presented in Appendix A of this assignment. Use the positive power supply (VP+) to provide a constant 5V to the MOSFET drain; this power supply provides the drain current ID. current flowing through the MOSFET. If no resistor is used between the power supply and the MOSFET, an excessive amount of current can flow through the MOSFET resulting in damage to the MOSFET and/or the rest of identified by the color bands on the side of the resistor – they will be as shown in Figure 3. We will
  • 15. discuss resistors in detail in later modules. Use an ohmmeter to measure the resistance of the resistor and record this value in your lab notebook (the actual resistance will most likely be slightly Connect your DMM as shown in Figure 2 to measure the current ID. + - 5V 100Ω ID VG + - ZVN2110 A DMM Figure 2. VCCS circuit schematic. 2. MOSFETs have a threshold voltage, below which essentially no current passes through the MOSFET. To determine the threshold voltage for our MOSFET, begin with zero voltage applied at the gate by the variable voltage source VG (VG = 0V). The drain current, with no voltage applied at the gate, should be essentially zero. Gradually
  • 16. increase the MOSFET gate voltage while monitoring the MOSFET drain current ID. Record in your lab notebook the voltage at which the drain current begins to increase significantly. This is the MOSFET’s threshold voltage. Real Analog – Circuits 1 Lab Project 1.2.2: Dependent Sources and MOSFETs © 2012 Digilent, Inc. 4 3. Now characterize the MOSFET’s relationship between gate voltage and drain current. Starting at the threshold voltage, continue to increase the gate voltage at increments of about 0.3V up to a maximum of about 5V. Record the gate voltages and their corresponding drain currents in your lab notebook. Plot the gate voltage vs. drain current data in your lab notebook. Comment on your observations relative to the data, especially relative to how the circuit behaves like a dependent source. 4. The parameter g of a VCCS provides a relationship between the rate of change between the applied voltage and the resulting current. This is essentially the slope of the data you plotted in part 3 above. Use the curve of part 3 to estimate the value of g for the circuit you built. Note: Your curve will most likely not be a straight line. Do your best to fit a straight line to the data you acquired in part 3 for your estimate of g. 5. Demonstrate operation of your circuit to the Teaching
  • 17. Assistant. Have the TA initial the appropriate page(s) of your lab notebook and the lab checklist. Yellow Violet Black Gold Real Analog – Circuits 1 Lab Project 1.2.2: Dependent Sources and MOSFETs © 2012 Digilent, Inc. 5 Appendix A – Waveform Generator to apply constant voltages The Voltage instrument on the Analog Discovery provides the Sometimes, however, it is desirable to apply arbitrary voltages to a circuit. The waveform generator on the Analog Discover provides this capability. To do this, follow the steps below: 1. Click on the WaveGen icon in the WaveForms main window to open the waveform generator window. This window should appear approximately as shown below: 2. There are a series on icons in a column in the lower-left corner of the screen. These icons allow you to select the “shape” of the waveform which will be applied to your
  • 18. circuit. (If the icons are not visible, click on the Basic tab (if it is not already selected) and then click on the Standard option. The icons indicating the shape of the available waveforms should appear.) In order to apply a constant voltage, click on the icon. The waveform generator window should alter its appearance so that it looks as shown below. The button to the immediate left of the button should appear as . If it displays Enabled, click on it to disable the waveform generator. Real Analog – Circuits 1 Lab Project 1.2.2: Dependent Sources and MOSFETs © 2012 Digilent, Inc. 6 3. The value of the constant voltage to be applied to the circuit is specified in the Offset column (the value is limited to between +5V and -5V). The desired value can be set with any of the following approaches: ton in the text box and selecting a value from the resulting drop-down menu, or the Enter button on your keyboard. 4. Click on to apply power to channel 1 (W1) of the waveform generator. (Each waveform generator channel has its own interface, you can select the desired channel with the button.) Clicking on the button automatically enables the function generator; the button to the immediate left of the button should now appear as .
  • 19. Important notes relative to the Enabled/Disabled button: “disable” the AWG. This button is used to turn off all power provided by the waveform generator channel. Thus, if you are working on your circuit with the waveform generator probes are connected, this button should always be set to . removes the time-varying component of the signal, not any constant components. If we are applying only a constant voltage to the circuit (as in this lab assignment), the button has no effect on the voltages being applied to the circuit. that both time-varying and constant components are applied to the circuit. power applied by the waveform generator. 5. To turn off power to your circuit, click on the button so that it displays . Real Analog - Circuits 1Chapter 1: Lab Worksheets Real Analog – Circuits 1Chapter 1.1: Breadboards and Ohmmeters 1.1: Breadboards and Ohmmeters (20 points total)
  • 20. 1. Provide the resistance you measured between two holes in same row. State whether these operate as open or closed circuit. (5 pts) 2. Provide the resistance you measured between two holes opposite sides of channel. Characterize as open or closed circuit. (5 pts) 3. Provide the resistance you measured between two arbitrary holes in the breadboard. Characterize as open or closed circuit. (5 pts) 4. Provide the resistance you measured between holes connected by a jumper wire. Characterize as open or closed circuit. (5 pts) © 2012 Digilent, Inc. 1 © 2012 Digilent, Inc. 2
  • 21. Real Analog - Circuits 1 Chapter 1: Lab Projects © 2012 Digilent, Inc. 1 1.1: Solderless Breadboards, Open-circuits and Short-circuits Overview: The purpose of this lab assignment is to provide users with an introduction to some of the equipment which will be used in subsequent lab assignments. The following topics are discussed: The concept of electrical resistance is introduced qualitatively in this lab assignment. A more rigorous discussion of resistance will be presented in later modules and explored more thoroughly in later lab assignments. Before beginning this lab, you should be able to: After completing this lab, you should be able to: solderless breadboard (see related background material relative to breadboards) resistance (see related material relative to DMMs)
  • 22. notebook (see related materials relative to lab notebooks) to connect electrical components breadboard This lab exercise requires: -held DMM Symbol Key: Demonstrate circuit operation to teaching assistant; teaching assistant should initial lab notebook and grade sheet, indicating that circuit operation is acceptable. Analysis; include principle results of analysis in laboratory report. Numerical simulation (using PSPICE or MATLAB as indicated); include results of MATLAB numerical analysis and/or simulation in laboratory report. Record data in your lab notebook.
  • 23. Real Analog – Circuits 1 Lab Project 1.1: Solderless Breadboards, Open-circuits and Short-circuits © 2012 Digilent, Inc. 2 General Discussion: In this portion of the lab assignment, we will examine the connections between different holes in your breadboard using a DMM as an ohmmeter. Specifically, we will see which connections correspond to open circuits and short circuits. We will use jumper wires to change the connectivity between holes on the breadboard. Pre-lab: None Lab Procedures: In this portion of the assignment, we will use the DMM as an ohmmeter to check the connectivity of different nodes on a breadboard. In the circuits below, you may need to use jumper wires in to assist in the connection between the DMM leads and the breadboard. 1. Using your DMM as an ohmmeter, connect the leads of the DMM to two holes in the same row on your breadboard, as shown in Figure 1(a) below. The DMM should indicate a very low resistance between the holes --- generally fractions of an ohm. Record your results in your lab notebook. 2. Check the resistance between two rows of holes on opposite sides of the central channel of the breadboard, as shown in Figure 1(b) below. Your DMM should
  • 24. indicate a very high --- or infinite --- resistance between the holes. Record your results in your lab notebook. Note: Different ohmmeters have different ways of indicating what they consider to be an infinite resistance. For example, some models may read out an overload (sometimes displayed as OL or a ‘‘flashing’’ number) condition. 3. Check the resistance between two arbitrary holes (not in the same row) of your breadboard (e.g. between nodes a and c in Figure 1(b). Your DMM should again indicate a very high or infinite resistance. Record your results in your lab notebook. 4. Finally, use a jumper wire to connect two different rows on the breadboard. Add a jumper wire between nodes a and c as shown in Figure 1(c). The DMM should indicate that the resistance between these nodes is now very low. Record your results in your lab notebook. In your lab notebook, comment on whether the connections in lab procedures 1 --- 4 correspond to ‘‘open circuit’’ or ‘‘short circuit’’ conditions. Real Analog – Circuits 1 Lab Project 1.1: Solderless Breadboards, Open-circuits and Short-circuits © 2012 Digilent, Inc. 3