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LECTURE-6 (EEE-201)

   Electronic Circuits-1
            by
  Khondokar Fida Hasan


         www.fida.com.bd
Special Diodes:
                             Objectives
    Describe the characteristics of a zener diode and analyze its operation


    Explain how a zener is used in voltage regulation and limiting


    Describe the varactor diode and its variable capacitance
   characteristics

    Discuss the operation and characteristics of LEDs and photodiodes


    Discuss the basic characteristics of the current regulator diode, the
   pin diode, the step-recovery diode, the tunnel diode, and the laser
   diode.




                                   www.fida.com.bd
Introduction
 The basic function of zener diode is to maintain a specific voltage
 across its terminals within given limits of line or load change. Typically
 it is used for providing a stable reference voltage for use in power
 supplies and other equipment.




                                                                            RLoad




This particular zener circuit will work to maintain 10 V across the load.
                                   www.fida.com.bd
www.fida.com.bd
Zener Diodes – Operating Range
A zener diode is much like a
normal diode, the exception
being is that it is placed in
the circuit in reverse bias
and operates in reverse
breakdown. This typical
characteristic curve
illustrates the operating
range for a zener. Note that
its forward characteristics
are just like a normal diode.


                                 Operating range



                                www.fida.com.bd
Zener Diodes – Regulation Ranges
The zener diode’s breakdown                            Zener zone   Diode zone
characteristics are determined by
the doping process. Low voltage
zeners (>5V), operate in the zener
breakdown range. Those designed
to operate <5 V operate mostly in
avalanche breakdown range.
Zeners are available with voltage
breakdowns of 1.8 V to 200 V.



                                        Avalanche
                                        zone
                                                       5V.
                                     This curve illustrates the minimum and maximum
                                     ranges of current operation that the zener can
                                     effectively maintain its voltage.
                                     www.fida.com.bd
Zener Diodes – Breakdown
                 Characteristics
Note very small reverse
 current (before “knee”).

Breakdown occurs @
  knee.
Breakdown
  Characteristics:
• VZ remains near constant
• VZ provides:
        -Reference voltage
        -Voltage regulation
• IZ escalates rapidly
• IZ MAX is achieved quickly
• Exceeding IZ MAX is fatal
                               www.fida.com.bd
Zener Diodes – Voltage Regulation


Regulation occurs between:

 VZK - knee voltage
          to
 VZM   - Imax




                             www.fida.com.bd
Zener Diodes – Equivalent Circuit
• Ideal Zener exhibits a
  constant voltage,
  regardless of current
  draw.
• Ideal Zener exhibits no
  resistance
  characteristics.


                     www.fida.com.bd
Zener Diodes – Equivalent Circuit

• Zener exhibits a near
  constant voltage, varied
  by current draw
  through the series
  resistance ZZ.

• As Iz increases, Vz also
  increases.
                      www.fida.com.bd
Zener Diodes – Characteristic Curve

• ∆Vz results from ∆Iz.

• ∆Iz thru Zz produce
  this.




    See Ex. 3-2

                     www.fida.com.bd
Zener Diodes
Zener diodes have given characteristics such as;
• Temperature coefficients – describes the % ∆Vz for ∆Temp (0C)
      ∆Vz = Vz x T0C x ∆T  %/oC
                                                          See Ex.3-3 (∆Vz)
• Power ratings – the zener incurs power dissipation based on Iz and Zz  P = I2Z
     Power derating factor specifies the reduced power rating for device operating
     temperatures in excess of the “rated maximum temperature”.
     PD(derated) = PD(max) – (mW/0C)∆T  mW

The data sheet provides this information.            See Ex.3-4 (%/oC)




                                   www.fida.com.bd
Zener Diode –
    Data Sheet


• Power ratings
• Temperature
  ratings
• Vz nominal
• Impedance
• Power derating
  curves
• Temperature
  coefficients
• ∆Zz - Zener
  impedance




                   www.fida.com.bd
Zener Diode - Applications
                                       Regulation
In this simple illustration of zener regulation circuit, the zener diode will
“adjust” its impedance based on varying input voltages. Zener current will
increase or decrease directly with voltage input changes. The zener current, Iz,
will vary to maintain a constant Vz.

Note: The zener has a finite range of current operation.




                                                                          VZener
                                                                          remains

                                                                          constant




                                       www.fida.com.bd
Zener Diode - Applications
                                Regulation
In this simple illustration of zener regulation circuit, the zener diode will
“adjust” its impedance based on varying input voltages and loads (R L) to be
able to maintain its designated zener voltage. Zener current will increase or
decrease directly with voltage input changes. The zener current will increase
or decrease inversely with varying loads. Again, the zener has a finite range
of operation.




                                                              VZener
                                                              remains

                                                              constant


                                                                  See Ex. 3-5

                                www.fida.com.bd
                                                                 Acrobat Document
Zener Limiting
Zener diodes can used for limiting just as normal diodes. Recall in
previous chapter studies about limiters. The difference to consider for
a zener limiter is its zener breakdown characteristics.




                             www.fida.com.bd                       See Ex.3-8
Analysis of Zener Diode as a voltage regulator




 When,




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Varactor Diodes
A varactor diode is best explained as a variable capacitor. Think of the
depletion region as a variable dielectric. The diode is placed in reverse bias.
The dielectric is “adjusted” by reverse bias voltage changes.




                                www.fida.com.bd
Varactor Diodes
The varactor diode can be useful in filter circuits as the adjustable component for
resonance frequency selection.




           Varactor

                                         Bias adjust
                                    www.fida.com.bd
Varactor Diodes
     Capacitance Tolerance Range
     - This is the equivalent of the value tolerance range of a resistor.
     ie: 1N5148         – Nominal value = 47pFd
                        - Tolerance range is 42.3pFd to 51.7pFd
     Tuning Ratio (TR) or (Capacitance Ratio)
     - Refers to Rangeability (value @ Bias Vmax vs Bias Vmin)
      - Vmin is 4V bias (C4) (for the 1N5139, C4 = 6.8pFd)
      - Vmax is 60V bias (C60) (for the 1n5139, C60 = 2.3pFd)
      For the 1N5139, TR = 2.9
      Quality Factor (Q) describes energy loss in the device. High Q desireable)
      Temperature Coefficient - ∆Capacitance vs ∆Temp


                                                                            See pg.127
Acrobat Document                         www.fida.com.bd                    See Ex.3-9
Resonant Band-pass Filter w/ Varactor Diode
                             Parallel Resonant Tank



           Series Resonant
                                                 31.6V
                 Tank


                                                 Varactor

                                        VR = 2.85 to 28.7V

VBIAS = 2.9V to 29V
CVaractor = 17pF to 55pF


                                                                Varactor Bias
Resonant Frequency Range:

fr = 679kHz to 1.22MHz.              www.fida.com.bd         See Related Problem pg.130
Optical Diodes
The light-emitting diode (LED) emits photons as visible light.
Its purpose is for indication and other intelligible displays.
Various impurities are added during the doping process to
vary the color output.




                           www.fida.com.bd
Optical Diodes
Electroluminescence, the process of emitting
photons from a parent material (substrate), is
the basis for LEDs.
Colors result from the choice of substrate
material and the resulting wavelength;
Todays LEDs (green,red, yellow) are based on
indium gallium aluminum phosphide
Blue uses silicon carbide or gallium nitride
IR (infrared) – GaAs (gallium arsenide)
                                                 A strong +bias encourages
LED Biasing: 1.2V to 3.2V is typical.            conduction-band electrons
                                                 in the N-material to leap the
Note: Some newer LED’s run at higher voltages    junction and recombine
and emit immense light energy. Applications:     with available holes
        Traffic signals                          releasing light and heat.
                  Outdoor video screens
                               www.fida.com.bd
                  Runway markers
LED – Spectral Curves




Note the wavelengths of the various
colors and infrared.
Note lead designations to the right.
                                       www.fida.com.bd
LED Datasheet – MLED81
        Infrared LED




         www.fida.com.bd
LED Datasheet –
   MLED81




   www.fida.com.bd
Optical Diodes
The seven segment display is an example of LEDs use for display of
decimal digits.




                               www.fida.com.bd              Acrobat Document
                See “Light Emitting Diodes.pdf”
Photodiodes
Unlike LED’s, photodiodes receive light rather than produce light. The
photodiode varies it’s current in response to the amount of light that
strikes it. It is placed in the circuit in reverse bias. As with most diodes, no
current flows when in reverse bias, but when light strikes the exposed
junction through a tiny window, reverse current increases proportional to
light intensity (irradiance).
Note: Photodiodes all
exhibit a “reverse
leakage current” which
appears as an inverse
variable resistance.
Irradiance causes the
device to exhibit a
reduction in the
variable resistance
characteristic.


                                   www.fida.com.bd
Photodiodes

You have this one in
your kit.




           www.fida.com.bd
Photodiodes – MRD821




       www.fida.com.bd
Photodiodes – MRD821




       www.fida.com.bd
Other Diode
                               Types

Current regulator diodes
(constant current diodes)
keep a constant current
value over a specified
range of forward bias
voltages ranging from
about 1.5 V to 6 V.                              Operating Range

This device exhibits very
high impedances.




                               www.fida.com.bd
Other Diode Types
The Schottky diode’s (hot-carrier diodes) significant characteristic is
its fast switching speed. This is useful for high frequencies and digital
applications. It is not a typical diode in that it does not have a p-n
junction. Instead, it consists of a lightly-doped n-material and
heavily-doped (conduction-band electrons) metal bounded together.
Response is very quick…high speed digital communications.




                                     Lightly doped    Heavily doped (conduction-
                                                      band electrons)
                               www.fida.com.bd
Other Diode Types
The pin diode is also used in mostly microwave frequency applications. Its
variable forward series resistance characteristic is used for attenuation,
modulation, and switching. In reverse bias it exhibits a nearly constant
capacitance. Also used in attentuators.
                                                      Current-controlled
                                  Fixed Capacitance   Resistance




                                www.fida.com.bd
Other Diode Types
The step-recovery diode is also used for fast switching
applications. This is achieved by reduced doping near the
junction. The diode recovers very quickly, making it useful in
high-frequency (VHF) applications.




                             www.fida.com.bd
Other Diode Types
The tunnel diode exhibits negative resistance. It will actually conduct well
with low forward bias. With further increases in bias it reaches the
negative resistance range where current will actually go down. This is
achieved by heavily-doped p and n materials that create a very thin
depletion region which permits electrons to “tunnel” thru the barrier
region.
Tank circuits oscillate but “die out” due to
the internal resistance. A tunnel diode will
provide “negative resistance” that
overcomes the loses and maintains the
oscillations.




     Germanium or Gallium
                                  www.fida.com.bd
Tunnel Diodes
Tank circuits oscillate but “die out” due to the internal resistance. A
tunnel diode will provide “negative resistance” that overcomes the
loses and maintains the oscillations.




                            www.fida.com.bd
Other Diode Types
The laser diode (light amplification by stimulated emission of radiation)
produces a monochromatic (single color) “coherent” light. Laser diodes
in conjunction with photodiodes are used to retrieve data from compact
discs.




  Forward bias the diode and electrons move thru the junction,
  recombination occurs (as ordinary). Recombinations result in
  photon release, causing a chain reaction of releases and
  avalanching photons which form an intense laser beam.
                              www.fida.com.bd
Troubleshooting
Although precise power supplies typically use IC type regulators, zener
diodes can be used alone as a voltage regulator. As with all
troubleshooting techniques we must know what is normal.




A properly functioning zener will work to maintain the output voltage
within certain limits despite changes in load.
                              www.fida.com.bd
Troubleshooting
With an open zener diode, the full unregulated voltage will be
present at the output without a load. In some cases with full or
partial loading an open zener could remain undetected.




                            www.fida.com.bd
Troubleshooting
With excessive zener impedance the voltage would be higher than normal
but less than the full unregulated output.




                             www.fida.com.bd
Summary
 The zener diode operates in reverse breakdown.

 A zener diode maintains a nearly constant voltage across its terminals
over a specified range of currents.

 Line regulation is the maintenance of a specific voltage with changing
input voltages.

 Load regulation is the maintenance of a specific voltage for different
loads.

 There are other diode types used for specific RF purposes such as
varactor diodes (variable capacitance), Schottky diodes (high speed
switching), and PIN diodes (microwave attenuation and switching).




                            www.fida.com.bd
Summary
 Light emitting diodes (LED) emit either infrared or visible light when
forward-biased.

 Photodiodes exhibit an increase in reverse current with light
intensity.

 The laser diode emits a monochromatic light




                              www.fida.com.bd

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EEE201 LECTURE 6 ~www.fida.com.bd

  • 1. LECTURE-6 (EEE-201) Electronic Circuits-1 by Khondokar Fida Hasan www.fida.com.bd
  • 2. Special Diodes: Objectives  Describe the characteristics of a zener diode and analyze its operation  Explain how a zener is used in voltage regulation and limiting  Describe the varactor diode and its variable capacitance characteristics  Discuss the operation and characteristics of LEDs and photodiodes  Discuss the basic characteristics of the current regulator diode, the pin diode, the step-recovery diode, the tunnel diode, and the laser diode. www.fida.com.bd
  • 3. Introduction The basic function of zener diode is to maintain a specific voltage across its terminals within given limits of line or load change. Typically it is used for providing a stable reference voltage for use in power supplies and other equipment. RLoad This particular zener circuit will work to maintain 10 V across the load. www.fida.com.bd
  • 5. Zener Diodes – Operating Range A zener diode is much like a normal diode, the exception being is that it is placed in the circuit in reverse bias and operates in reverse breakdown. This typical characteristic curve illustrates the operating range for a zener. Note that its forward characteristics are just like a normal diode. Operating range www.fida.com.bd
  • 6. Zener Diodes – Regulation Ranges The zener diode’s breakdown Zener zone Diode zone characteristics are determined by the doping process. Low voltage zeners (>5V), operate in the zener breakdown range. Those designed to operate <5 V operate mostly in avalanche breakdown range. Zeners are available with voltage breakdowns of 1.8 V to 200 V. Avalanche zone 5V. This curve illustrates the minimum and maximum ranges of current operation that the zener can effectively maintain its voltage. www.fida.com.bd
  • 7. Zener Diodes – Breakdown Characteristics Note very small reverse current (before “knee”). Breakdown occurs @ knee. Breakdown Characteristics: • VZ remains near constant • VZ provides: -Reference voltage -Voltage regulation • IZ escalates rapidly • IZ MAX is achieved quickly • Exceeding IZ MAX is fatal www.fida.com.bd
  • 8. Zener Diodes – Voltage Regulation Regulation occurs between: VZK - knee voltage to VZM - Imax www.fida.com.bd
  • 9. Zener Diodes – Equivalent Circuit • Ideal Zener exhibits a constant voltage, regardless of current draw. • Ideal Zener exhibits no resistance characteristics. www.fida.com.bd
  • 10. Zener Diodes – Equivalent Circuit • Zener exhibits a near constant voltage, varied by current draw through the series resistance ZZ. • As Iz increases, Vz also increases. www.fida.com.bd
  • 11. Zener Diodes – Characteristic Curve • ∆Vz results from ∆Iz. • ∆Iz thru Zz produce this. See Ex. 3-2 www.fida.com.bd
  • 12. Zener Diodes Zener diodes have given characteristics such as; • Temperature coefficients – describes the % ∆Vz for ∆Temp (0C) ∆Vz = Vz x T0C x ∆T  %/oC See Ex.3-3 (∆Vz) • Power ratings – the zener incurs power dissipation based on Iz and Zz  P = I2Z Power derating factor specifies the reduced power rating for device operating temperatures in excess of the “rated maximum temperature”. PD(derated) = PD(max) – (mW/0C)∆T  mW The data sheet provides this information. See Ex.3-4 (%/oC) www.fida.com.bd
  • 13. Zener Diode – Data Sheet • Power ratings • Temperature ratings • Vz nominal • Impedance • Power derating curves • Temperature coefficients • ∆Zz - Zener impedance www.fida.com.bd
  • 14. Zener Diode - Applications Regulation In this simple illustration of zener regulation circuit, the zener diode will “adjust” its impedance based on varying input voltages. Zener current will increase or decrease directly with voltage input changes. The zener current, Iz, will vary to maintain a constant Vz. Note: The zener has a finite range of current operation. VZener remains constant www.fida.com.bd
  • 15. Zener Diode - Applications Regulation In this simple illustration of zener regulation circuit, the zener diode will “adjust” its impedance based on varying input voltages and loads (R L) to be able to maintain its designated zener voltage. Zener current will increase or decrease directly with voltage input changes. The zener current will increase or decrease inversely with varying loads. Again, the zener has a finite range of operation. VZener remains constant See Ex. 3-5 www.fida.com.bd Acrobat Document
  • 16. Zener Limiting Zener diodes can used for limiting just as normal diodes. Recall in previous chapter studies about limiters. The difference to consider for a zener limiter is its zener breakdown characteristics. www.fida.com.bd See Ex.3-8
  • 17. Analysis of Zener Diode as a voltage regulator When, www.fida.com.bd
  • 26. Varactor Diodes A varactor diode is best explained as a variable capacitor. Think of the depletion region as a variable dielectric. The diode is placed in reverse bias. The dielectric is “adjusted” by reverse bias voltage changes. www.fida.com.bd
  • 27. Varactor Diodes The varactor diode can be useful in filter circuits as the adjustable component for resonance frequency selection. Varactor Bias adjust www.fida.com.bd
  • 28. Varactor Diodes Capacitance Tolerance Range - This is the equivalent of the value tolerance range of a resistor. ie: 1N5148 – Nominal value = 47pFd - Tolerance range is 42.3pFd to 51.7pFd Tuning Ratio (TR) or (Capacitance Ratio) - Refers to Rangeability (value @ Bias Vmax vs Bias Vmin) - Vmin is 4V bias (C4) (for the 1N5139, C4 = 6.8pFd) - Vmax is 60V bias (C60) (for the 1n5139, C60 = 2.3pFd) For the 1N5139, TR = 2.9 Quality Factor (Q) describes energy loss in the device. High Q desireable) Temperature Coefficient - ∆Capacitance vs ∆Temp See pg.127 Acrobat Document www.fida.com.bd See Ex.3-9
  • 29. Resonant Band-pass Filter w/ Varactor Diode Parallel Resonant Tank Series Resonant 31.6V Tank Varactor VR = 2.85 to 28.7V VBIAS = 2.9V to 29V CVaractor = 17pF to 55pF Varactor Bias Resonant Frequency Range: fr = 679kHz to 1.22MHz. www.fida.com.bd See Related Problem pg.130
  • 30. Optical Diodes The light-emitting diode (LED) emits photons as visible light. Its purpose is for indication and other intelligible displays. Various impurities are added during the doping process to vary the color output. www.fida.com.bd
  • 31. Optical Diodes Electroluminescence, the process of emitting photons from a parent material (substrate), is the basis for LEDs. Colors result from the choice of substrate material and the resulting wavelength; Todays LEDs (green,red, yellow) are based on indium gallium aluminum phosphide Blue uses silicon carbide or gallium nitride IR (infrared) – GaAs (gallium arsenide) A strong +bias encourages LED Biasing: 1.2V to 3.2V is typical. conduction-band electrons in the N-material to leap the Note: Some newer LED’s run at higher voltages junction and recombine and emit immense light energy. Applications: with available holes Traffic signals releasing light and heat. Outdoor video screens www.fida.com.bd Runway markers
  • 32. LED – Spectral Curves Note the wavelengths of the various colors and infrared. Note lead designations to the right. www.fida.com.bd
  • 33. LED Datasheet – MLED81 Infrared LED www.fida.com.bd
  • 34. LED Datasheet – MLED81 www.fida.com.bd
  • 35. Optical Diodes The seven segment display is an example of LEDs use for display of decimal digits. www.fida.com.bd Acrobat Document See “Light Emitting Diodes.pdf”
  • 36. Photodiodes Unlike LED’s, photodiodes receive light rather than produce light. The photodiode varies it’s current in response to the amount of light that strikes it. It is placed in the circuit in reverse bias. As with most diodes, no current flows when in reverse bias, but when light strikes the exposed junction through a tiny window, reverse current increases proportional to light intensity (irradiance). Note: Photodiodes all exhibit a “reverse leakage current” which appears as an inverse variable resistance. Irradiance causes the device to exhibit a reduction in the variable resistance characteristic. www.fida.com.bd
  • 37. Photodiodes You have this one in your kit. www.fida.com.bd
  • 38. Photodiodes – MRD821 www.fida.com.bd
  • 39. Photodiodes – MRD821 www.fida.com.bd
  • 40. Other Diode Types Current regulator diodes (constant current diodes) keep a constant current value over a specified range of forward bias voltages ranging from about 1.5 V to 6 V. Operating Range This device exhibits very high impedances. www.fida.com.bd
  • 41. Other Diode Types The Schottky diode’s (hot-carrier diodes) significant characteristic is its fast switching speed. This is useful for high frequencies and digital applications. It is not a typical diode in that it does not have a p-n junction. Instead, it consists of a lightly-doped n-material and heavily-doped (conduction-band electrons) metal bounded together. Response is very quick…high speed digital communications. Lightly doped Heavily doped (conduction- band electrons) www.fida.com.bd
  • 42. Other Diode Types The pin diode is also used in mostly microwave frequency applications. Its variable forward series resistance characteristic is used for attenuation, modulation, and switching. In reverse bias it exhibits a nearly constant capacitance. Also used in attentuators. Current-controlled Fixed Capacitance Resistance www.fida.com.bd
  • 43. Other Diode Types The step-recovery diode is also used for fast switching applications. This is achieved by reduced doping near the junction. The diode recovers very quickly, making it useful in high-frequency (VHF) applications. www.fida.com.bd
  • 44. Other Diode Types The tunnel diode exhibits negative resistance. It will actually conduct well with low forward bias. With further increases in bias it reaches the negative resistance range where current will actually go down. This is achieved by heavily-doped p and n materials that create a very thin depletion region which permits electrons to “tunnel” thru the barrier region. Tank circuits oscillate but “die out” due to the internal resistance. A tunnel diode will provide “negative resistance” that overcomes the loses and maintains the oscillations. Germanium or Gallium www.fida.com.bd
  • 45. Tunnel Diodes Tank circuits oscillate but “die out” due to the internal resistance. A tunnel diode will provide “negative resistance” that overcomes the loses and maintains the oscillations. www.fida.com.bd
  • 46. Other Diode Types The laser diode (light amplification by stimulated emission of radiation) produces a monochromatic (single color) “coherent” light. Laser diodes in conjunction with photodiodes are used to retrieve data from compact discs. Forward bias the diode and electrons move thru the junction, recombination occurs (as ordinary). Recombinations result in photon release, causing a chain reaction of releases and avalanching photons which form an intense laser beam. www.fida.com.bd
  • 47. Troubleshooting Although precise power supplies typically use IC type regulators, zener diodes can be used alone as a voltage regulator. As with all troubleshooting techniques we must know what is normal. A properly functioning zener will work to maintain the output voltage within certain limits despite changes in load. www.fida.com.bd
  • 48. Troubleshooting With an open zener diode, the full unregulated voltage will be present at the output without a load. In some cases with full or partial loading an open zener could remain undetected. www.fida.com.bd
  • 49. Troubleshooting With excessive zener impedance the voltage would be higher than normal but less than the full unregulated output. www.fida.com.bd
  • 50. Summary  The zener diode operates in reverse breakdown.  A zener diode maintains a nearly constant voltage across its terminals over a specified range of currents.  Line regulation is the maintenance of a specific voltage with changing input voltages.  Load regulation is the maintenance of a specific voltage for different loads.  There are other diode types used for specific RF purposes such as varactor diodes (variable capacitance), Schottky diodes (high speed switching), and PIN diodes (microwave attenuation and switching). www.fida.com.bd
  • 51. Summary  Light emitting diodes (LED) emit either infrared or visible light when forward-biased.  Photodiodes exhibit an increase in reverse current with light intensity.  The laser diode emits a monochromatic light www.fida.com.bd

Editor's Notes

  • #4: Fig. 3-9 Simple zener diode reg. circuit &amp; label zener terminals
  • #6: Fig 3-2 b zener curve
  • #7: Fig 3-3
  • #15: Fig. 3-12 Zener Reg.
  • #16: Fig. 3-12 Zener Reg.
  • #17: Fig 3-16a,b,&amp;c
  • #27: Fig 3-20 depletion region
  • #28: Fig 3-23
  • #29: Fig 3-23
  • #31: Fig 3-27
  • #32: Fig 3-27
  • #36: Fig 3-32
  • #37: Fig 3-35
  • #41: Fig 3-37 schem. current reg. diode
  • #42: Fig 3-39 Schottky schem. &amp; Fig 3-40.
  • #43: Fig 3-41 schem symbol and diagram
  • #47: Fig 3-47 a, b, &amp; c
  • #48: Fig 3-48b
  • #49: Fig 3-49a&amp;b zener reg
  • #50: Fig 3-50 zener reg