1An alternating current is one whose magnitude and direction:
alternating current and voltage
Easy
A.Remain constant with time
B.Change periodically with time
C.Only change in magnitude but not direction
D.Only change in direction but not magnitude
Correct Answer: Change periodically with time
Explanation:
Alternating current (AC) periodically reverses its direction and changes its magnitude with time, unlike direct current (DC) which stays constant.
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2The standard waveform assumed for an AC supply in analysis is:
alternating current and voltage
Easy
A.Sinusoidal
B.Square
C.Triangular
D.Sawtooth
Correct Answer: Sinusoidal
Explanation:
AC voltage and current are generally represented by a sinusoidal waveform, expressed as .
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3In AC circuit notation, lowercase letters such as and generally represent:
concept of notations ( i, v, I, V)
Easy
A.Average values
B.Maximum values
C.Instantaneous values
D.RMS values
Correct Answer: Instantaneous values
Explanation:
Lowercase symbols like and denote instantaneous values that vary with time, while uppercase and usually denote RMS or steady values.
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4Uppercase symbols and in AC analysis most commonly represent:
concept of notations ( i, v, I, V)
Easy
A.RMS (effective) values
B.Angular frequency
C.Peak-to-peak values
D.Instantaneous values
Correct Answer: RMS (effective) values
Explanation:
Capital letters and are conventionally used for RMS (effective) values of alternating current and voltage.
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5The amplitude of an AC waveform refers to its:
definitions of amplitude, phase, phase difference
Easy
A.RMS value
B.Time period
C.Average value
D.Maximum (peak) value
Correct Answer: Maximum (peak) value
Explanation:
The amplitude is the maximum (peak) value reached by the waveform, denoted or .
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6Phase difference between two AC quantities is usually measured in:
definitions of amplitude, phase, phase difference
Easy
A.Seconds only
B.Volts
C.Amperes
D.Degrees or radians
Correct Answer: Degrees or radians
Explanation:
Phase and phase difference are angular measures, expressed in degrees or radians.
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7Two AC waveforms that reach their peaks at the same instant are said to be:
definitions of amplitude, phase, phase difference
Easy
A.Out of phase by
B.In phase
C.Out of phase by
D.In quadrature
Correct Answer: In phase
Explanation:
When two waveforms attain their maximum and zero values at the same time, they have zero phase difference and are said to be in phase.
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8For a sinusoidal waveform of peak value , the RMS value is:
RMS value and average value of an AC signal
Easy
A.
B.
C.
D.
Correct Answer:
Explanation:
For a pure sine wave, the RMS value is .
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9The average value of a sinusoidal waveform over a complete cycle is:
RMS value and average value of an AC signal
Easy
A.
B.Zero
C.
D.
Correct Answer: Zero
Explanation:
Over one full cycle the positive and negative halves cancel, so the average value of a symmetrical sine wave is zero. The value applies only to a half cycle.
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10The average value of a sinusoidal waveform over a half cycle in terms of peak value is:
RMS value and average value of an AC signal
Easy
A.
B.
C.
D.
Correct Answer:
Explanation:
The half-cycle average of a sine wave is .
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11The impedance of a circuit in complex (rectangular) form is written as:
complex representation of impedance
Easy
A.
B.
C.
D.
Correct Answer:
Explanation:
Impedance is represented as , where is resistance (real part) and is reactance (imaginary part).
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12In a purely inductive circuit, the inductive reactance is given by:
complex representation of impedance
Easy
A.
B.
C.
D.
Correct Answer:
Explanation:
Inductive reactance increases with frequency and inductance, given by .
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13The capacitive reactance of a capacitor is expressed as:
complex representation of impedance
Easy
A.
B.
C.
D.
Correct Answer:
Explanation:
Capacitive reactance is , which decreases as frequency increases.
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14In a series RL circuit, the current:
steady state analysis of ac circuits consisting of RL, RC and RLC (series)
Easy
A.Is zero
B.Is in phase with the voltage
C.Lags the applied voltage
D.Leads the applied voltage
Correct Answer: Lags the applied voltage
Explanation:
In an inductive (RL) circuit the current lags behind the voltage by an angle between and .
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15In a series RC circuit, the current:
steady state analysis of ac circuits consisting of RL, RC and RLC (series)
Easy
A.Leads the applied voltage
B.Is always maximum
C.Is in phase with the voltage
D.Lags the applied voltage
Correct Answer: Leads the applied voltage
Explanation:
In a capacitive (RC) circuit the current leads the voltage by an angle between and .
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16The magnitude of impedance in a series RLC circuit is given by:
steady state analysis of ac circuits consisting of RL, RC and RLC (series)
Easy
A.
B.
C.
D.
Correct Answer:
Explanation:
The total impedance of a series RLC circuit is .
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17At resonance in a series RLC circuit, the net reactance is:
resonance in series RLC circuit
Easy
A.Infinite
B.Equal to
C.Zero ()
D.Maximum
Correct Answer: Zero ()
Explanation:
At series resonance the inductive and capacitive reactances are equal and cancel, so the net reactance is zero and impedance equals .
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18The resonant frequency of a series RLC circuit is given by:
resonance in series RLC circuit
Easy
A.
B.
C.
D.
Correct Answer:
Explanation:
Resonance occurs when , giving the resonant frequency .
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19The power factor of an AC circuit is defined as:
power factor and power calculation in RL, RC and RLC circuits
Easy
A.
B.
C.
D.
Correct Answer:
Explanation:
Power factor is the cosine of the phase angle between voltage and current, , and equals the ratio of real power to apparent power.
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20In a balanced three-phase star (Y) connection, the relation between line voltage and phase voltage is:
relations in line and phase voltages and currents in star and delta networks
Easy
A.
B.
C.
D.
Correct Answer:
Explanation:
In a star connection, line voltage is times the phase voltage, while line current equals phase current.
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21A sinusoidal voltage has a peak value of . What is its RMS value?
RMS value and average value of an AC signal
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
For a sinusoid, .
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22The average value of a full sinusoidal AC current over one complete cycle is:
RMS value and average value of an AC signal
Medium
A.
B.Zero
C.
D.
Correct Answer: Zero
Explanation:
Over a full cycle the positive and negative half-cycles cancel, so the average is zero. The value applies only to a half-cycle.
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23The form factor of a pure sinusoidal waveform is approximately:
RMS value and average value of an AC signal
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
Form factor (averages taken over half cycle).
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24In a pure capacitor, the current leads the applied voltage by a phase angle of:
phase difference
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
In a pure capacitance, current leads voltage by because the capacitor opposes changes in voltage.
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25A current is expressed as . What is the frequency of the supply?
phase
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
Angular frequency , so .
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26A circuit has resistance and inductive reactance . The magnitude of the impedance is:
complex representation of impedance
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
.
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27The impedance of a series RC circuit is written in complex form as:
complex representation of impedance
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
Capacitive reactance is represented as a negative imaginary term, so .
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28In a series RL circuit, and . The phase angle of the circuit is:
steady state analysis of ac circuits consisting of RL, RC and RLC (series)
Medium
A. lagging
B. lagging
C. lagging
D. leading
Correct Answer: lagging
Explanation:
; current lags in an RL circuit.
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29A series RLC circuit has , , and . The net impedance magnitude is:
steady state analysis of ac circuits consisting of RL, RC and RLC (series)
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
Net reactance ; .
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30At resonance in a series RLC circuit, the impedance of the circuit is:
resonance in series RLC circuit
Medium
A.Maximum and purely reactive
B.Maximum and purely resistive
C.Minimum and purely reactive
D.Minimum and purely resistive
Correct Answer: Minimum and purely resistive
Explanation:
At resonance , so reactances cancel; impedance equals , which is minimum and purely resistive.
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31The resonant frequency of a series RLC circuit with and is approximately:
resonance in series RLC circuit
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
.
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32At resonance, the current in a series RLC circuit is in phase with the voltage because:
resonance in series RLC circuit
Medium
A.The circuit behaves as purely capacitive
B.The current becomes zero
C.The circuit behaves as purely inductive
D.The circuit behaves as purely resistive
Correct Answer: The circuit behaves as purely resistive
Explanation:
When , the net reactance is zero, so the circuit is purely resistive and voltage and current are in phase.
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33An RL circuit draws at with a power factor of . The real power consumed is:
power factor and power calculation in RL, RC and RLC circuits
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
.
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34The power factor of a circuit having impedance is:
power factor and power calculation in RL, RC and RLC circuits
Medium
A. leading
B. lagging
C. lagging
D. leading
Correct Answer: lagging
Explanation:
; . Positive reactance means lagging.
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35In a purely inductive AC circuit, the average power consumed over one cycle is:
power factor and power calculation in RL, RC and RLC circuits
Medium
A.
B.Zero
C.
D.
Correct Answer: Zero
Explanation:
In a pure inductor the phase difference is , so and average power is zero.
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36In a balanced star-connected system, the relation between line voltage and phase voltage is:
relations in line and phase voltages and currents in star and delta networks
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
In a star connection line voltage is times phase voltage, while line current equals phase current.
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37In a balanced delta-connected system, the relation between line current and phase current is:
relations in line and phase voltages and currents in star and delta networks
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
In a delta connection line current is times phase current, while line voltage equals phase voltage.
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38A balanced star-connected load has a line voltage of . The phase voltage is approximately:
relations in line and phase voltages and currents in star and delta networks
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
in a star connection.
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39In a three-phase balanced system, the phase difference between any two phase voltages is:
three-phase circuits- numbering and interconnection (delta or mesh connection) of three phases
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
The three phases of a balanced supply are displaced equally over , giving a phase difference between them.
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40If an AC voltage completes 100 cycles in 2 seconds, its time period is:
alternating current and voltage
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
Frequency , so time period .
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41A half-wave rectified sinusoidal current has a peak value of . What is the ratio of its RMS value to its average value?
RMS value and average value of an AC signal
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
For a half-wave rectified wave, RMS and average . The ratio (form factor) is .
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42A current waveform is given by A. What is the RMS value of this current?
RMS value and average value of an AC signal
Hard
A. A
B. A
C. A
D. A
Correct Answer: A
Explanation:
For a composite waveform, A. The exact value is A.
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43A series RLC circuit has , H, and F. What is the quality factor at resonance?
resonance in series RLC circuit
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
.
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44In a series RLC circuit at resonance, the voltage across the inductor is V and across the resistor is V. What is the quality factor ?
resonance in series RLC circuit
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
At resonance, . Thus . The inductor voltage is times the supply (resistor) voltage.
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45An impedance is given as . If this is connected across a source V, what is the phase angle of the current?
complex representation of impedance
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
. Current A.
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46A series RL circuit with and is fed by V, Hz. What is the voltage across the inductor?
steady state analysis of ac circuits consisting of RL, RC and RLC (series)
Hard
A. V
B. V
C. V
D. V
Correct Answer: V
Explanation:
. A. V.
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47A single-phase load draws A at V with a power factor of lagging. What is the reactive power consumed?
power factor and power calculation in RL, RC and RLC circuits
Hard
A. VAR
B. VAR
C. VAR
D. VAR
Correct Answer: VAR
Explanation:
Apparent power VA. With , . Reactive power VAR.
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48A balanced delta-connected load has a phase current of A. If the same load impedances are reconnected in star across the same line voltage, what is the new line current?
relations in line and phase voltages and currents in star and delta networks
Hard
A. A
B. A
C. A
D. A
Correct Answer: A
Explanation:
In delta, line current A. Switching to star reduces current by a factor of 3: A.
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49In a balanced three-phase star-connected system, the line voltage is V. What is the phase voltage?
relations in line and phase voltages and currents in star and delta networks
Hard
A. V
B. V
C. V
D. V
Correct Answer: V
Explanation:
In star, , so V.
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50A series RC circuit draws A from a V source and dissipates W. What is the capacitive reactance ?
power factor and power calculation in RL, RC and RLC circuits
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
. . .
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51A series RLC circuit has , , . For a supply of V, what is the magnitude of the current and its nature?
steady state analysis of ac circuits consisting of RL, RC and RLC (series)
Hard
A. A, leading
B. A, lagging
C. A, leading
D. A, lagging
Correct Answer: A, lagging
Explanation:
Net reactance (inductive). . A. Since , current lags.
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52A series RLC circuit resonates at Hz with a bandwidth of Hz. What are the approximate half-power frequencies?
resonance in series RLC circuit
Hard
A. Hz and Hz
B. Hz and Hz
C. Hz and Hz
D. Hz and Hz
Correct Answer: Hz and Hz
Explanation:
Bandwidth Hz centered around Hz. So Hz and Hz.
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53Two voltages are and . By what time (in terms of period ) does lag ?
phase difference
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
Phase difference is rad . Time lag .
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54Two impedances and are connected in parallel. What is the magnitude of the equivalent impedance?
complex representation of impedance
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
. Numerator . , ; sum . .
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55A coil draws A when connected to a V DC supply and A when connected to a V, Hz AC supply. What is the power factor of the coil on AC?
power factor and power calculation in RL, RC and RLC circuits
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
DC gives . AC gives . Power factor .
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56In a series RLC circuit, the applied voltage is V, V and V. If , this is inconsistent; given V instead, what is consistent with V supply?
steady state analysis of ac circuits consisting of RL, RC and RLC (series)
Hard
A. V
B. V
C. V
D. V
Correct Answer: V
Explanation:
In series RLC, . With V, , giving , so V.
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57A balanced delta-connected load of per phase is connected to a V line. What is the line current?
relations in line and phase voltages and currents in star and delta networks
Hard
A. A
B. A
C. A
D. A
Correct Answer: A
Explanation:
In delta, V. Phase current A. Line current A.
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58A balanced three-phase star load draws a line current of A at V line voltage with power factor . What is the total real power consumed?
power factor and power calculation in RL, RC and RLC circuits
Hard
A. kW
B. kW
C. kW
D. kW
Correct Answer: kW
Explanation:
Three-phase power W kW.
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59At resonance in a series RLC circuit, the current is A and . If mH and the resonant frequency is rad/s, what is the voltage across the capacitor?
resonance in series RLC circuit
Hard
A. V
B. V
C. V
D. V
Correct Answer: V
Explanation:
At resonance . V.
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60A sinusoidal voltage V is applied. What are the amplitude, frequency, and phase respectively?
definitions of amplitude, phase
Hard
A. V, Hz,
B. V, Hz,
C. V, Hz,
D. V, Hz, rad
Correct Answer: V, Hz,
Explanation:
Amplitude (peak) V. Angular frequency rad/s, so Hz. Phase angle .
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