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GATE Electrical Engineering (EE) Test: First Order RL & RC Circuits - 1


MCQ Practice Test & Solutions: Test: First Order RL & RC Circuits - 1 (10 Questions)

You can prepare effectively for Electrical Engineering (EE) GATE Electrical Engineering (EE) Mock Test Series 2027 with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: First Order RL & RC Circuits - 1". These 10 questions have been designed by the experts with the latest curriculum of Electrical Engineering (EE) 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 30 minutes
  • - Number of Questions: 10

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Test: First Order RL & RC Circuits - 1 - Question 1

The poles of the impedance Z(s) for the network shown in figure below will be real and coincident if

Detailed Solution: Question 1

The impedance Z(s) of the given network is

The pofes are at

Thus, the poles will be coincidence if

Test: First Order RL & RC Circuits - 1 - Question 2

In the complex frequency S= σ + jω, ω has the unit of radian/sec and σ has the unit of

Test: First Order RL & RC Circuits - 1 - Question 3

A system is described by the transfer function  The value of its step response at a very large time will be close to 

Detailed Solution: Question 3

Test: First Order RL & RC Circuits - 1 - Question 4

At a certain current, the energy stored in iron cored coil is 1000 J and its copper loss is 2000 W. The time constant (in second) of the coil is

Detailed Solution: Question 4

Test: First Order RL & RC Circuits - 1 - Question 5

A ramp voltage vi(t) = 100t V is applied to a differentiator circuit with R = 5 kΩ and C=4μF.The maximum output voltage is

Detailed Solution: Question 5

Maximum output voltage of RC differentiator  circuit  =

Test: First Order RL & RC Circuits - 1 - Question 6

The Laplace transform of the waveform below is 

Detailed Solution: Question 6

The given waveform can be expressed as

v(t) = u ( t - 2) - u ( t - 3) + u ( t - 6) - u ( t - 7) 

Taking Laplace transform,

Test: First Order RL & RC Circuits - 1 - Question 7

The initial and final values of  are given by 

Detailed Solution: Question 7

Test: First Order RL & RC Circuits - 1 - Question 8

The Laplace transform of the ramp function shown below is 

Detailed Solution: Question 8

The equation of the given ramp function is

Test: First Order RL & RC Circuits - 1 - Question 9

The poles and zeros of the transfer function   for the circuit shown below are located at

Detailed Solution: Question 9

The given circuit can be redrawn as shown below.

Hence, poles are at: 

Test: First Order RL & RC Circuits - 1 - Question 10

A capacitor of 0.5 F is initially charged to 1 volt and is subjected to discharge at t = 0 across a LR series circuit where 1 = 1 H; R = 2 Ω. The current i(t) for t> 0 is

Detailed Solution: Question 10

In Laplace domain, the given circuit can be drawn as shown below.

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