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Network Analysis
Sinusoidal Steady State Analysis
Power in AC Circuits

Questions mapped to Power in AC Circuits under Sinusoidal Steady State Analysis.

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Q#1 Sinusoidal Steady State Analysis GATE EE 2026 (Set 1) MCQ +1 mark -0.33 marks

A single-phase voltage source  delivers a current,  A to a load.

The load power factor, correct up to two decimal places, is:

1.00

0.80

0.65

0.57

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Q#2 Sinusoidal Steady State Analysis GATE EE 2026 (Set 1) MCQ +2 marks -0.66 marks

An electrical component has voltage drop , when the current through it is .

What is the average power dissipated over a half cycle corresponding to  ?

0

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Q#3 Sinusoidal Steady State Analysis GATE EE 2025 (Set 1) NAT +2 marks -0 marks

In an experiment to measure the active power drawn by a single-phase RL Load connected to an AC source through a  resistor, three voltmeters are connected as shown in the figure below. The voltmeter readings are as follows: . Assuming perfect resistors and ideal voltmeters, the Load-active power measured in this experiment, in W, is __________ (round off to one decimal place).

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Q#4 Sinusoidal Steady State Analysis GATE EE 2019 (Set 1) NAT +2 marks -0 marks

The voltage across and the current through a load are expressed as follows        

The average power in watts (round off to one decimal place) consumed by the load is _______.

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Q#5 Sinusoidal Steady State Analysis GATE EE 2018 (Set 1) MCQ +1 mark -0.33 marks

In the figure, the voltages are  ,  and

. The circuit is in sinusoidal steady state, and,   and   are the average power outputs. Which one of the following statements is true?

Untitled-9.png

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Q#6 Sinusoidal Steady State Analysis GATE EE 2018 (Set 1) NAT +2 marks -0 marks

The voltage across the circuit in the figure, and the current through it are given by the following expressions:

Where , If the average power delivered to the circuit is zero then the value of X (in Ampere) is ________ (up to 2 decimal places).

Untitled-26.png

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Q#7 Sinusoidal Steady State Analysis GATE EE 2017 (Set 1) MCQ +1 mark -0.33 marks

A source is supplying a load through a 2-phase, 3-wire transmission system as shown in figure below. The instantaneous voltage and current in phase-a are  V and A, respectively. Similarly for phase-b, the instantaneous voltage and current are A, respectively.         

Z:\PY\EE\Redreaw figure\Network\updated\74-66.jpg

The total instantaneous power flowing from the source to the load is

2200 W

4400 W

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Q#8 Sinusoidal Steady State Analysis GATE EE 2016 (Set 2) NAT +1 mark -0 marks

The voltage (V) and current ((A) across a load are as follows.

.

.

The average power consumed by the load, in W, is_____________.

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Q#9 Sinusoidal Steady State Analysis GATE EE 2015 (Set 2) NAT +2 marks -0 marks

A symmetrical square wave of 50% duty cycle has amplitude of ±15V and time period of . This square wave is applied across a series RLC circuit with  L=10mH and . The amplitude of the 5000 rad/s component of the capacitor voltage (in volt) is ____________.          

34.jpg

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Q#10 Sinusoidal Steady State Analysis GATE EE 2014 (Set 2) NAT +2 marks -0 marks

The total power dissipated in the circuit, shown in the figure, is 1kW. The voltmeter, across the load, reads 200V. The value of  is ____________

C:\Users\Ankit\Dropbox\GATE papers\EE papers\Typed\Gate-EE-2014\Gate-EE-2014_2\EE02_2014 images\11.jpg

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Q#11 Sinusoidal Steady State Analysis GATE EE 2013 (Set 1) MCQ +1 mark -0.33 marks

A single-phase load is supplied by a single –phase voltage source. If the current flowing from the Load to the source is  and if the voltage at the load terminals is , then the

Load absorbs real power and delivers reactive power.

Load absorbs real power and absorbs reactive power.

Load delivers real power and delivers reactive power.

Load delivers real power and absorbs reactive power.

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Q#12 Sinusoidal Steady State Analysis GATE EE 2012 (Set 1) MCQ +1 mark -0.33 marks

The average power delivered to an impedance (4–j3) by a current  is

44.2W

50W

62.5W

125W

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Q#13 Sinusoidal Steady State Analysis GATE EE 2012 (Set 1) MCQ +2 marks -0.66 marks

23.jpg

In the circuit shown, the three voltmeter readings are .

The power factor of the load is

0.45

0.50

0.55

0.60

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Q#14 Sinusoidal Steady State Analysis GATE EE 2012 (Set 1) MCQ +2 marks -0.66 marks

23.jpg

In the circuit shown, the three voltmeter readings are .

If , the approximate power consumption in the load is         

700W

750W

800W

850W

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Q#15 Sinusoidal Steady State Analysis GATE EE 2011 (Set 1) MCQ +2 marks -0.66 marks

An RLC circuit with relevant data is given below.

The power dissipated in the resistor R is

0.5W

1W

2W

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Q#16 Sinusoidal Steady State Analysis GATE EE 2006 (Set 1) MCQ +2 marks -0.66 marks

An energy meter connected to an immersion heater (resistive) operating on an AC 230 V, 50 Hz, AC single phase source reads 2.3 units (kWh) in 1 hour. The heater is removed from the supply and now connected to a 400 V peak square wave source of 150 Hz. The power in kW dissipated by the heater will be

3.478

1.739

1.540

0.870

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Q#17 Sinusoidal Steady State Analysis GATE EE 2004 (Set 1) MCQ +1 mark -0.33 marks

Total instantaneous power supplied by a 3-phase ac supply to a balanced R-L load is

Zero

Constant

Pulsating with zero average

Pulsating with non-zero average

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Q#18 Sinusoidal Steady State Analysis GATE EE 2002 (Set 1) MCQ +2 marks -0.66 marks

In the circuit shown in Figure, what value of C will cause a unity power factor at the ac source?

C:\Users\Ankit\Dropbox\GATE papers\EE papers\Typed\Gate-EE-2002\Figures\Q27.jpg

68.1 µF

165 µF

0.681 µF

6.81 µF

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Q#19 Sinusoidal Steady State Analysis GATE EE 2001 (Set 1) MCQ +2 marks -0.66 marks

A 240 V single-phase ac source is connected to a load with an impedance of .  A capacitor is connected in parallel with the load.  If the capacitor supplied 1250 VAR, the real power supplied by the source is

3600 W

2880 W

2400 W

1200 W

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Q#20 Sinusoidal Steady State Analysis GATE EE 1999 (Set 1) MCQ +2 marks -0.66 marks

The voltage phasor of a circuit is  and the current phasor is A. The active and the reactive powers in the circuit are:

10W and 17.32 VAr

5W and 8.66 VAr

20W and 60 VAr

and

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Q#21 Sinusoidal Steady State Analysis GATE EE 1999 (Set 1) MCQ +2 marks -0.66 marks

A constant voltage frequency sinusoidal voltage source of magnitude  is connected to a series circuit made of a resistance of 15Ω, a coil of winding resistance R and inductance L and a 50μF capacitor. The voltage across the 15Ω resistors is 30V, across the coil is 50V, across the capacitor is 40V, The voltage across the combination of the 15Ω resistor and the coil together is 72.11V. Determine the values of the inductance L, winding resistance R and the source voltage V.

L=0.01H, R=15Ω  and V=60V

L=0.02H, R=30Ω  and V=60V

L=0.02H, R=15Ω  and V=30V

L=0.02H, R=15Ω  and V=60V

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Q#22 Sinusoidal Steady State Analysis GATE EE 1996 (Set 1) MCQ +1 mark -0.33 marks

A water boiler at home is switched on the a.c. mains supplying power at 230V/50Hz. The frequency of instantaneous power consumed by the boiler is

0 Hz

50 Hz

100 Hz

150 Hz

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Q#23 Sinusoidal Steady State Analysis GATE EE 1991 (Set 1) MCQ +2 marks -0.66 marks

In figure calculate

Z:\PY\EE\Redreaw figure\Network\updated\67-03.jpg

(a) The power delivered by each source

(b) The power dissipated in each resistor

(a) -j4.33, 7.5 +j4.33 (b) 4.5, 3

(a) -4.33, 7.5 +j4.33 (b) 4.5, 5

(a) -j4.33, 7.5 +j4.33 (b) 5.5, 3.5

(a) -j4.33, 8.5 +j4.33 (b) 5.5, 3

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