Test: Capacitors & Inductors


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10 Questions MCQ Test GATE Electrical Engineering (EE) 2023 Mock Test Series | Test: Capacitors & Inductors

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

 An Inductor works as a ________ circuit for DC supply.

Detailed Solution for Test: Capacitors & Inductors - Question 1

Induced voltage across an inductor is zero if the current flowing through it is constant, i.e. Inductor works as a short circuit for DC supply.

Test: Capacitors & Inductors - Question 2

The equivalent circuit of the capacitor shown below is:

Detailed Solution for Test: Capacitors & Inductors - Question 2

Due to initial condition, at t = 0 capacitor will act as a constant voltage source (at t = 0, capacitor acts as short-circuit). Hence, option (d) is correct.

Test: Capacitors & Inductors - Question 3

The strength of current in 1 Henry inductor changes at a rate of 1 A/sec. The magnitude of energy stored in the inductor after 3 sec is:

Detailed Solution for Test: Capacitors & Inductors - Question 3

∴ Current in the inductor after 3 sec is: 

1= 3 A

Hence, energy is stored after 3 sec:

Test: Capacitors & Inductors - Question 4

 The current and voltage profile of an element vs time has been shown in given figure. The element and its value are respectively:

Detailed Solution for Test: Capacitors & Inductors - Question 4
  • Since V is not proportional to R therefore, the element can’t be a resistor.
  • At t = 5 ms, even if i ≠ 0, the element behaves as a short circuit therefore, the element can’t be a capacitor (since at t = 0 only capacitor behaves as short circuit).
  • The current at t = 0 is zero and at t = 5 ms voltage across the element is zero therefore, the element must be an inductor (at t = 0, an inductor acts as open circuit and at t =∞ it behaves as short circuit).
  • From the given voltage and current profile, we have:
Test: Capacitors & Inductors - Question 5

 Figure shown below exhibits the voltage-time profile of a source to charge a capacitor of 50 μF. The value of charging current in amperes is:

Detailed Solution for Test: Capacitors & Inductors - Question 5

From given figure:

Test: Capacitors & Inductors - Question 6

 The equivalent capacitance across the given terminals A-B is:

Detailed Solution for Test: Capacitors & Inductors - Question 6
  • The equivalent combination of C2 and C3
  • The equivalent combination of this 1 μF and  C1 = 2μF is C1+ 1 μF = 3μF
  • Hence, the equivalent capacitance between terminals A and B is
Test: Capacitors & Inductors - Question 7

 The charging time required to charge the equivalent capacitance between the given terminals a-b by a steady direct current of constant magnitude of 10 A is given by:

Detailed Solution for Test: Capacitors & Inductors - Question 7

Equivalent capacitance between terminals a-b is:

Test: Capacitors & Inductors - Question 8

 An ac voltage of 220 V is applied to a pure inductance of 50 H. If the current is 5 A, the instantaneous value of voltage and current will be respectively given by:

Detailed Solution for Test: Capacitors & Inductors - Question 8

Max. value of current:

Assuming voltage as the reference phasor:

Test: Capacitors & Inductors - Question 9

The voltage and current through a circuit element is v= 100 sin (314 t + 45°) volts and i = 10 sin (314 t - 45 ° ) amps.
The type of circuit element and its value will be respectively:

Detailed Solution for Test: Capacitors & Inductors - Question 9

The phase difference between v and i is: 

Since v leads i therefore, the circuit element is an inductor.

Test: Capacitors & Inductors - Question 10

The equivalent inductance for the inductive circuit shown below at terminal “ 1 - 2 ” is:

Detailed Solution for Test: Capacitors & Inductors - Question 10

Converting the internal star connected inductance to an equivalent delta, the circuit reduces as shown below.

Hence, equivalent circuit becomes as shown below.

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