Test: First Order RL & RC Circuits - 1


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10 Questions MCQ Test GATE Electrical Engineering (EE) 2023 Mock Test Series | Test: First Order RL & RC Circuits - 1

Test: First Order RL & RC Circuits - 1 for Electrical Engineering (EE) 2022 is part of GATE Electrical Engineering (EE) 2023 Mock Test Series preparation. The Test: First Order RL & RC Circuits - 1 questions and answers have been prepared according to the Electrical Engineering (EE) exam syllabus.The Test: First Order RL & RC Circuits - 1 MCQs are made for Electrical Engineering (EE) 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: First Order RL & RC Circuits - 1 below.
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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 for Test: First Order RL & RC Circuits - 1 - 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 for Test: First Order RL & RC Circuits - 1 - 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 for Test: First Order RL & RC Circuits - 1 - 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 for Test: First Order RL & RC Circuits - 1 - 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 for Test: First Order RL & RC Circuits - 1 - 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 for Test: First Order RL & RC Circuits - 1 - Question 7

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

The Laplace transform of the ramp function shown below is 

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

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

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