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Electrical Engineering (EE) Exam  >  Electrical Engineering (EE) Test  >  GATE Mock Test Series 2027  >  Test: Maxwell Law in Time Varying Fields - Electrical Engineering (EE) MCQ

GATE Electrical Engineering (EE) Test: Maxwell Law in Time Varying Fields


MCQ Practice Test & Solutions: Test: Maxwell Law in Time Varying Fields (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: Maxwell Law in Time Varying Fields". 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: 10 minutes
  • - Number of Questions: 10

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Test: Maxwell Law in Time Varying Fields - Question 1
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Find the curl of E when B is given as 15t.

Detailed Solution: Question 1

Answer: b
Explanation: From Maxwell first law, we get Curl of E as the negative derivative of B with respect to time. Thus Curl(E) = -dB/dt. On substituting B= 15t and differentiating, Curl(E) = -15 units.

Test: Maxwell Law in Time Varying Fields - Question 2
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The charge build up in a capacitor is due to

Detailed Solution: Question 2

Answer: b
Explanation: The capacitor consists of a dielectric placed between two conducting plates, subjected to a field. The current due to a dielectric is always due to the displacement current density.

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Test: Maxwell Law in Time Varying Fields - Question 3
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The surface integral of which parameter is zero?

Detailed Solution: Question 3

Answer: c
Explanation: The divergence of the magnetic flux density is always zero. By Stokes theorem, the surface integral of B is same as the volume integral of the divergence of B. Thus the surface integral of B is also zero.

Test: Maxwell Law in Time Varying Fields - Question 4
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Harmonic electromagnetic fields refer to fields varying sinusoidally with respect to time. State True/False. 

Detailed Solution: Question 4

Answer: a
Explanation: Fields that varying sinusoidally with respect to time are called as harmonic fields. An example for harmonic fields is A sin wt.

Test: Maxwell Law in Time Varying Fields - Question 5
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When electric potential is null, then the electric field intensity will be

Detailed Solution: Question 5

Answer: d
Explanation: The electric field intensity is given by E = -Grad(V)- dA/dt, where V is the electric potential and A is the magnetic vector potential. When V is zero, then E = -dA/dt.

Test: Maxwell Law in Time Varying Fields - Question 6
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The gradient of the magnetic vector potential can be expressed as

Detailed Solution: Question 6

Answer: a
Explanation: The gradient of A is the ratio of the negative gradient of electric potential to the speed of light c. We can write c = 1/√(με). Thus grad(A) = -με dV/dt is the required expression.

Test: Maxwell Law in Time Varying Fields - Question 7
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Find the time constant of a capacitor with capacitance of 2 microfarad having an internal resistance of 4 megaohm.

Detailed Solution: Question 7

Answer: c
Explanation: The time constant of capacitor is given by T = RC, where R = 4×106 and C = 2×10-6. Thus T = 4×106 x2x10-6 = 8 seconds.

Test: Maxwell Law in Time Varying Fields - Question 8
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Which components exist in an electromagnetic wave?

Detailed Solution: Question 8

Answer: c
Explanation: In an electromagnetic wave, the electric and magnetic components coexist. They propagate perpendicular to each other and to the direction of propagation in space.

Test: Maxwell Law in Time Varying Fields - Question 9
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The propagation of the electromagnetic waves can be illustrated by

Detailed Solution: Question 9

Answer: c
Explanation: By Flemming’s rule, when the thumb and the middle finger represent the inputs (say current and field respectively), then the fore finger represents the output (force, in this case). The EM propagation can be illustrated by this rule.

Test: Maxwell Law in Time Varying Fields - Question 10
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Which one of the following laws will not contribute to the Maxwell’s equations?

Detailed Solution: Question 10

Answer: d
Explanation: The Gauss law, Faraday law and the Ampere law are directly used to find the parameters E, H, D, B. Thus it contributes to the Maxwell equations. The Curie Weiss law pertains to the property of any magnetic material. Thus it is not related to the Maxwell equation.

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About this Electrical Engineering (EE) Practice Test

This test contains 10 MCQs on Maxwell Law in Time Varying Fields with detailed solutions for each question. It is part of the GATE Electrical Engineering (EE) Mock Test Series 2027 course on EduRev, designed to align with the current Electrical Engineering (EE) syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

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