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Electrical Circuit II
EEE-121
Capacitor
A device used to store an electric charge,
consisting of one or more pairs of
conductors separated by an insulator.
Capacitor
An electrolytic capacitor (e-cap) is
a polarized capacitor whose anode or
positive plate is made of a metal that
forms an insulating oxide layer through
anodization. This oxide layer acts as the
dielectric of the capacitor.
A fixed capacitor is constructed in such
manner that it possesses a fixed value
of capacitance which cannot be
adjusted. A fixed capacitor is classified
according to the type of material used as
its dielectric, such as paper, oil, mica, or
electrolyte.
Capacitor
A variable capacitor is a capacitor
whose capacitance may be
intentionally and repeatedly changed
mechanically or electronically.
Capacitor
Inductor
 A component in an electric or
electronic circuit which possesses
inductance.
Inductor
Instantaneous power
Instantaneous power p(t) is defined as
the product of instantaneous voltage
v(t) and instantaneous current i(t).
Assuming the sinusoids waveforms v(t)
= Vm cos (ω t + θ v ) and i(t) = Im cos
(ω t + θi ) represent the voltage and
current, then it can be shown:
Active Power
Instantaneous power to a load is p = v
• i.
 In an ac circuit
◦ p may be positive sometimes and
negative other times
 Average value of the power, P
◦ Real power
Active Power
 Average value of instantaneous
power, real power, active power, and
average power mean the same thing.
Reactive Power
During times when p is negative,
power is being returned from load
This can happen for inductive or
capacitive loads
Apparent Power
Power to a load is VI
If load has both resistance and
reactance
◦ Product is neither the real power nor the
reactive power, but a combination of both
Apparent Power
 This is called the apparent power, S
 S = VI = I2Z = V2/Z
 Units are volt-amperes (VA)
Apparent Power
Relationship Between P,Q,
and S
P, Q, and S are related by the “power
triangle”
S
Q
P
22
QPS 
Active and Reactive Power
Equations
P = VI cos  = S cos 
Q = VI sin  = S sin 
V and I are RMS values
 is the phase angle between V and I
Q is positive for inductive circuits and
negative for capacitive circuits
Power Factor
Ratio of real power to apparent power
is called the power factor, Fp
Fp = P/S = cos 
Angle  is angle between voltage and
current
Power Factor
For pure resistance  = 0°
For inductance,  = 90°
For capacitance,  = -90°
For a circuit containing a mixture,  is
somewhere between 0° and 90°
Power Factor
Unity power factor
◦ For a purely resistive circuit, the power
factor will be one
For load containing resistance and
inductance
◦ Power factor will be less than one and
lagging
◦ Current lags the voltage
Power Factor
For a circuit containing resistance and
capacitance
◦ Fp is less than one and is leading
Why Equipment Is Rated in
VA
A highly reactive load
◦ May seem to require a small amount of
power while requiring a large current
Equipment is rated in VA to prevent
overloading the circuit
Why Equipment Is Rated in
VA
Size of electrical apparatus required
by a load
◦ Governed by its VA requirements
Power Factor Correction
A load with a small power factor can
draw a large current
Can be alleviated by
◦ Cancelling some or all reactive
components of power by adding
reactance of opposite type to the circuit
 This is power factor correction
Power Factor Correction
Industrial customers may pay a
penalty for low power factors due to
large currents required for highly
reactive loads
AC Power Measurement
To measure power in an ac circuit you
need a wattmeter
Meter consists of
◦ Current-sensing circuit
◦ Voltage-sensing circuit
◦ Multiplier circuit
◦ Averaging circuit
AC Power Measurement
This will measure load voltage and
current and find the product and the
angle between these
Thank you
for your kind attention
Question ???

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Electrical circuit 2 ( Capacitor , Conductor, Inductor ,Power factor)

  • 2. Capacitor A device used to store an electric charge, consisting of one or more pairs of conductors separated by an insulator.
  • 3. Capacitor An electrolytic capacitor (e-cap) is a polarized capacitor whose anode or positive plate is made of a metal that forms an insulating oxide layer through anodization. This oxide layer acts as the dielectric of the capacitor. A fixed capacitor is constructed in such manner that it possesses a fixed value of capacitance which cannot be adjusted. A fixed capacitor is classified according to the type of material used as its dielectric, such as paper, oil, mica, or electrolyte.
  • 4. Capacitor A variable capacitor is a capacitor whose capacitance may be intentionally and repeatedly changed mechanically or electronically.
  • 6. Inductor  A component in an electric or electronic circuit which possesses inductance.
  • 8. Instantaneous power Instantaneous power p(t) is defined as the product of instantaneous voltage v(t) and instantaneous current i(t). Assuming the sinusoids waveforms v(t) = Vm cos (ω t + θ v ) and i(t) = Im cos (ω t + θi ) represent the voltage and current, then it can be shown:
  • 9. Active Power Instantaneous power to a load is p = v • i.  In an ac circuit ◦ p may be positive sometimes and negative other times  Average value of the power, P ◦ Real power
  • 10. Active Power  Average value of instantaneous power, real power, active power, and average power mean the same thing.
  • 11. Reactive Power During times when p is negative, power is being returned from load This can happen for inductive or capacitive loads
  • 12. Apparent Power Power to a load is VI If load has both resistance and reactance ◦ Product is neither the real power nor the reactive power, but a combination of both
  • 13. Apparent Power  This is called the apparent power, S  S = VI = I2Z = V2/Z  Units are volt-amperes (VA)
  • 15. Relationship Between P,Q, and S P, Q, and S are related by the “power triangle” S Q P 22 QPS 
  • 16. Active and Reactive Power Equations P = VI cos  = S cos  Q = VI sin  = S sin  V and I are RMS values  is the phase angle between V and I Q is positive for inductive circuits and negative for capacitive circuits
  • 17. Power Factor Ratio of real power to apparent power is called the power factor, Fp Fp = P/S = cos  Angle  is angle between voltage and current
  • 18. Power Factor For pure resistance  = 0° For inductance,  = 90° For capacitance,  = -90° For a circuit containing a mixture,  is somewhere between 0° and 90°
  • 19. Power Factor Unity power factor ◦ For a purely resistive circuit, the power factor will be one For load containing resistance and inductance ◦ Power factor will be less than one and lagging ◦ Current lags the voltage
  • 20. Power Factor For a circuit containing resistance and capacitance ◦ Fp is less than one and is leading
  • 21. Why Equipment Is Rated in VA A highly reactive load ◦ May seem to require a small amount of power while requiring a large current Equipment is rated in VA to prevent overloading the circuit
  • 22. Why Equipment Is Rated in VA Size of electrical apparatus required by a load ◦ Governed by its VA requirements
  • 23. Power Factor Correction A load with a small power factor can draw a large current Can be alleviated by ◦ Cancelling some or all reactive components of power by adding reactance of opposite type to the circuit  This is power factor correction
  • 24. Power Factor Correction Industrial customers may pay a penalty for low power factors due to large currents required for highly reactive loads
  • 25. AC Power Measurement To measure power in an ac circuit you need a wattmeter Meter consists of ◦ Current-sensing circuit ◦ Voltage-sensing circuit ◦ Multiplier circuit ◦ Averaging circuit
  • 26. AC Power Measurement This will measure load voltage and current and find the product and the angle between these
  • 27. Thank you for your kind attention Question ???

Editor's Notes