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Sinusoidal Steady State Analysis
Resonance

Questions mapped to Resonance under Sinusoidal Steady State Analysis.

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Q#1 Sinusoidal Steady State Analysis GATE EE 2022 (Set 1) NAT +1 mark -0 marks

An inductor having a 𝑄-factor of 60 is connected in series with a capacitor having a 𝑄-factor of 240. The overall 𝑄-factor of the circuit is ________. (round off to nearest integer)

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Q#2 Sinusoidal Steady State Analysis GATE EE 2022 (Set 1) NAT +1 mark -0 marks

The network shown below has a resonant frequency of 150 kHz and a bandwidth of 600 Hz. The 𝑄-factor of the network is __________. (round off to nearest integer)

A picture containing diagram, sketch, line, design

Description automatically generated

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Q#3 Sinusoidal Steady State Analysis GATE EE 2015 (Set 1) MCQ +1 mark -0.33 marks

An inductor is connected in parallel with a capacitor as shown in the figure.        

12.jpg

As the frequency of current i is increased, the impedance (Z) of the network varies as

13.jpg

14.jpg

16.jpg

15.jpg

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Q#4 Sinusoidal Steady State Analysis GATE EE 2014 (Set 3) MCQ +2 marks -0.66 marks

A series RLC circuit is observed at two frequencies. At , we note that source voltage   results in a current . At , the source voltage   results in a current . The closest values for R, L, C out of the following options are

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Q#5 Sinusoidal Steady State Analysis GATE EE 2013 (Set 1) MCQ +2 marks -0.66 marks

Two magnetically uncoupled inductive coils have Q factors  and  at the chosen operating frequency. Their respective resistances are  and . When connected in series, their effective Q factor at the same operating frequency is

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Q#6 Sinusoidal Steady State Analysis GATE EE 2008 (Set 1) MCQ +1 mark -0.33 marks

The Thevenin's equivalent of a circuit operating at, has  and . At this frequency, the minimal realization of the Thevenin's impedance will have a

Resistor and a capacitor and an inductor

Resistor and a capacitor

Resistor and an inductor

Capacitor and an inductor

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Q#7 Sinusoidal Steady State Analysis GATE EE 2008 (Set 1) MCQ +2 marks -0.66 marks

The resonant frequency for the given circuit will be

Q22.jpg

1 rad/s

2 rad/s

3 rad/s

4 rad/s

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Q#8 Sinusoidal Steady State Analysis GATE EE 2007 (Set 1) MCQ +2 marks -0.66 marks

The R-L-C series circuit shown is supplied from a variable frequency voltage source. The admittance-locus of the R-L-C network at terminals AB for increasing frequency ω is

Q62-1.jpg

Q62-2.jpg

Q62-3.jpg

Q62-5.jpg

Q62-4.jpg

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Q#9 Sinusoidal Steady State Analysis GATE EE 2006 (Set 1) MCQ +2 marks -0.66 marks

The circuit shown in the figure is energized by a sinusoidal voltage source  at a frequency which causes resonance with a current of I.

C:\Users\Ankit\Dropbox\GATE papers\EE papers\Typed\Gate-EE-2006\Figures\Q32-1.jpg

The phasor diagram which is applicable to this circuit is

Q32-2.jpg

Q32-3.jpg

Q32-4.jpg

Q32-5.jpg

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Q#10 Sinusoidal Steady State Analysis GATE EE 2004 (Set 1) MCQ +1 mark -0.33 marks

In the figure the value of Z in Figure, which is most appropriate to cause parallel resonance at 500 Hz, is

Q1.jpg

125.00 mH

304.20 µF

2.0µF

0.05µF

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Q#11 Sinusoidal Steady State Analysis GATE EE 2003 (Set 1) MCQ +2 marks -0.66 marks

In the circuit of Figure, the magnitudes of  and  are twice that of . The inductance of the coil is Q31.jpg        

2.14 mH

5.30 H

31.84 mH

1.32 H

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Q#12 Sinusoidal Steady State Analysis GATE EE 2002 (Set 1) MCQ +2 marks -0.66 marks

A series R-L-C circuit has R = 50Ω, L = 100 μH and C = 1 μF. the lower half power frequency of the circuit is

30.55 kHz

3.055 kHz

51.92 kHz

1.92 kHz

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Q#13 Sinusoidal Steady State Analysis GATE EE 2002 (Set 1) MCQ +2 marks -0.66 marks

Consider the circuit shown in Figure. If the frequency of the source is 50 Hz, then a value of  which results in a transient free response is

Q37.jpg

0 ms

1.78 ms

2.71 ms

2.91 ms

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Q#14 Sinusoidal Steady State Analysis GATE EE 2001 (Set 1) MCQ +1 mark -0.33 marks

In a series RLC circuit at resonance, the magnitude of the voltage developed across the capacitor.

Is always zero

Can never be greater than the input voltage

Can be greater than the input voltage, however, it is 90° out of phase with the input voltage.

Can be greater than the input voltage, and is in phase with the input voltage.

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Q#15 Sinusoidal Steady State Analysis GATE EE 2001 (Set 1) MCQ +2 marks -0.66 marks

Determine the resonance frequency and the Q-factor of the circuit shown in figure.

Data: R = 10Ω, C = 3µF, ,  and M = 10 mH.

C:\Users\Ankit\Dropbox\GATE papers\EE papers\Typed\Gate-EE-2001\Figures\Q51.jpg

f=430.52Hz and Q=10

f=530.52Hz and Q=5

f=530.52Hz and Q=10

f=530.52Hz and Q=20

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Q#16 Sinusoidal Steady State Analysis GATE EE 1999 (Set 1) MCQ +1 mark -0.33 marks

A series R-L-C circuit when excited by a 10V sinusoidal voltage source of variable frequency, exhibits resonance at 100Hz and has a 3 dB bandwidth of 5Hz. The voltage across the inductor L at resonance is:

10V

200V

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Q#17 Sinusoidal Steady State Analysis GATE EE 1998 (Set 1) MCQ +1 mark -0.33 marks

A circuit with a resistor, inductor and capacitor in series is resonant of  If all the component values are now doubled, the new resonant frequency is:

still

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Q#18 Sinusoidal Steady State Analysis GATE EE 1996 (Set 1) MCQ +2 marks -0.66 marks

A coil (which can be modeled as a series RL circuit) has been designed for high-Q performance at a rated voltage and a specified frequency. If the frequency of operation is doubled, and the coil is operated at the same rated voltage, then the Q-factor and the active power P consumed by the coil will be affected as follows

P is doubled, Q is halved

P is halved, Q is doubled

P remains constant, Q is doubled

P is decreased 4 times, Q is doubled

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Q#19 Sinusoidal Steady State Analysis GATE EE 1995 (Set 1) NAT +1 mark -0 marks

A series R-L-C circuit has the following parameter values: , , .The Q factor of the circuit at resonance is __________

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Q#20 Sinusoidal Steady State Analysis GATE EE 1994 (Set 1) MCQ +1 mark -0.33 marks

At resonance, the given parallel circuit constituted by an iron-coil and a capacitor behaves like

Z:\PY\EE\Redreaw figure\Network\updated\67-05.jpg

An open-circuit

A short-circuit

A pure resistor of value R

A pure resistor of value much higher than R

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Q#21 Sinusoidal Steady State Analysis GATE EE 1993 (Set 1) MCQ +1 mark -0.33 marks

The following circuit (figure) resonates at

D:\1Mayu\Gate-9\JPG\JPG\1\1993\Q_6_2.JPG

all frequencies

0.5 rad/sec

5 rad/sec

1 rad/sec

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