Test: Second Order RLC Circuits - 1


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10 Questions MCQ Test GATE Electrical Engineering (EE) 2023 Mock Test Series | Test: Second Order RLC Circuits - 1

Test: Second Order RLC Circuits - 1 for Electrical Engineering (EE) 2022 is part of GATE Electrical Engineering (EE) 2023 Mock Test Series preparation. The Test: Second Order RLC Circuits - 1 questions and answers have been prepared according to the Electrical Engineering (EE) exam syllabus.The Test: Second Order RLC 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: Second Order RLC Circuits - 1 below.
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Test: Second Order RLC Circuits - 1 - Question 1

A current is given by

The initial and final values of currents are respectively

Detailed Solution for Test: Second Order RLC Circuits - 1 - Question 1

Test: Second Order RLC Circuits - 1 - Question 2

 The initial value theorem does not hold good for which of the following functions?

Test: Second Order RLC Circuits - 1 - Question 3

 For the parallel RLC circuit to be underdamped

Detailed Solution for Test: Second Order RLC Circuits - 1 - Question 3

Characteristic equation of a parallel RLC circuit is

Test: Second Order RLC Circuits - 1 - Question 4

For the circuit shown below, the switch K is closed at t = 0,

The value of the current and their derivatives for the above circuit at t = 0 were foundout and matched as given below:

Which of the above are correctly matched ?

Detailed Solution for Test: Second Order RLC Circuits - 1 - Question 4

At t = 0+, inductor will act as open circuit therefore, i(0+) = 0 A.
Applying KVL in the loop, we have

Test: Second Order RLC Circuits - 1 - Question 5

The energy in a network in Laplace domain is given by

​The initial and final values of power are respectively

Detailed Solution for Test: Second Order RLC Circuits - 1 - Question 5

We know that,

Test: Second Order RLC Circuits - 1 - Question 6

A voltage is given by

The value of V(t→ ∞) is

Detailed Solution for Test: Second Order RLC Circuits - 1 - Question 6

Test: Second Order RLC Circuits - 1 - Question 7

 The voltage across a capacitor is given by

If the capacitor has the value of 2 F, initial value of current through it (at t = 0+) will be

Detailed Solution for Test: Second Order RLC Circuits - 1 - Question 7

Hence, initial value of current through the capacitor = 2 A.

Test: Second Order RLC Circuits - 1 - Question 8

The impedance Z(s) in the circuit shown below is

 

Detailed Solution for Test: Second Order RLC Circuits - 1 - Question 8

The given circuit in Laplace domain is shown below.

Test: Second Order RLC Circuits - 1 - Question 9

The voltage Vc1,Vc2 and Vc3 across the capacitors in the circuit shown below under steady-state, are respectively

Detailed Solution for Test: Second Order RLC Circuits - 1 - Question 9

Under steady state condition inductors will act as short circuit while capacitors will act as open circuit.

Test: Second Order RLC Circuits - 1 - Question 10

 The value of Z(s) in the circuit shown below is given by

The values of R, L and Care respectively given by

Detailed Solution for Test: Second Order RLC Circuits - 1 - Question 10

On comparing the two values of Z(s), we get

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