Test: Frequency Response - Electrical Engineering (EE) MCQ

# Test: Frequency Response - Electrical Engineering (EE) MCQ

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## 20 Questions MCQ Test GATE Electrical Engineering (EE) Mock Test Series 2025 - Test: Frequency Response

Test: Frequency Response for Electrical Engineering (EE) 2024 is part of GATE Electrical Engineering (EE) Mock Test Series 2025 preparation. The Test: Frequency Response questions and answers have been prepared according to the Electrical Engineering (EE) exam syllabus.The Test: Frequency Response MCQs are made for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Frequency Response below.
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Test: Frequency Response - Question 1

### A parallel resonant circuit has a resistance of 2 kΩ and half power frequencies of 86 kHz and 90 kHz.1. The value of capacitor is

Detailed Solution for Test: Frequency Response - Question 1

BW = ω2 - ω1 = 2π(90 - 86)k = 8π krad/s

= 19.89 nF

Test: Frequency Response - Question 2

### A parallel resonant circuit has a resistance of 2 kΩ and half power frequencies of 86 kHz and 90 kHz.The value of inductor is

Detailed Solution for Test: Frequency Response - Question 2

= 0.16 mH

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Test: Frequency Response - Question 3

### A parallel resonant circuit has a resistance of 2 kΩ and half power frequencies of 86 kHz and 90 kHz.The quality factor is

Detailed Solution for Test: Frequency Response - Question 3

Test: Frequency Response - Question 4

A parallel resonant circuit has a midband admittance of 25 x 10-3 S, quality factor of 80 and a resonant frequency of 200 krad/s.The value of R is

Detailed Solution for Test: Frequency Response - Question 4

Ay mid-band frequency Z = R, Y = 1/R

Test: Frequency Response - Question 5

A parallel resonant circuit has a midband admittance of 25 x 10-3 S, quality factor of 80 and a resonant frequency of 200 krad/s.The value of C is

Detailed Solution for Test: Frequency Response - Question 5

= 10 μF

Test: Frequency Response - Question 6

A parallel RLC circuit has R =1 kΩ and C = 1 μF. Thequality factor at resonance is 200. The value of inductor is

Detailed Solution for Test: Frequency Response - Question 6

⇒ L = 25 μH

Test: Frequency Response - Question 7

A parallel circuit has R =1 k , C = 50 μF and L = 10mH. The quality factor at resonance is

Detailed Solution for Test: Frequency Response - Question 7

Test: Frequency Response - Question 8

A series resonant circuit has an inductor L = 10 mH.The resonant frequency ωo = 106 rad/s and bandwidth is BW = 103 rad/s. The value of R and C will be

Detailed Solution for Test: Frequency Response - Question 8

= 100pF

Test: Frequency Response - Question 9

A series resonant circuit has L = 1 mH and C = 10μF. The required R for the BW 15 9 . Hz is

Detailed Solution for Test: Frequency Response - Question 9

⇒

Test: Frequency Response - Question 10

For the RLC parallel resonant circuit when R = 8 kΩ , L = 40 mH and C = 0.25 μF, the quality factor Q is

Detailed Solution for Test: Frequency Response - Question 10

Test: Frequency Response - Question 11

The maximum voltage across capacitor would be

Detailed Solution for Test: Frequency Response - Question 11

Thevenin equivalent seen by L - C combination

Open Circuit : v1 = 0, v∝ = 3V

Test: Frequency Response - Question 12

For the circuit shown in fig. resonant frequency fo is

Detailed Solution for Test: Frequency Response - Question 12

Applying 1 A at input port V1 = 10 V
voltage across 1 A source

Zin = Vtest
At resonance Im {Zin} = 0
⇒

Test: Frequency Response - Question 13

For the circuit shown in fig. the resonant frequency fo is

Detailed Solution for Test: Frequency Response - Question 13

At resonance Im {Y} = 0

Test: Frequency Response - Question 14

The network function of circuit shown in fig. is

Detailed Solution for Test: Frequency Response - Question 14

Test: Frequency Response - Question 15

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Test: Frequency Response - Question 16

Detailed Solution for Test: Frequency Response - Question 16

Test: Frequency Response - Question 17

The value of input frequency is required to cause again equal to 1.5. The value is

Detailed Solution for Test: Frequency Response - Question 17

For any value of ω, R,C gain ≤ 1.
Thus (D) is correct option.

Test: Frequency Response - Question 18

In the circuit of fig. phase shift equal to -450 is required at frequency ω =20 rad/s . The value of R is

Detailed Solution for Test: Frequency Response - Question 18

phase shift = - tan-1 ωCR = -450°
ωCR = 1,

20 x 1 x 10-6 R = 1 ⇒ R = 50KΩ

Test: Frequency Response - Question 19

For the circuit of fig., Vs is the source voltage and the response is the resistance voltage Vo, R = 30Ω and L = 2H. Suppose the input frequency is adjusted until the gain is equal to 0.6. The value of the frequency is

Detailed Solution for Test: Frequency Response - Question 19

Test: Frequency Response - Question 20

Bode diagram of the network function Vo /Vfor the circuit of fig.  is

Detailed Solution for Test: Frequency Response - Question 20

-20 dB/decade line starting from ω = 5.56 rad/s
20 dB/decade line starting from ω = 16.67 rad/s
Hence -20 dB/decade line for 5.56 < ω < 16.67 parallel to ω axis to ω >16.67

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## GATE Electrical Engineering (EE) Mock Test Series 2025

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