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Electrical Engineering (EE) Exam  >  Electrical Engineering (EE) Test  >  Electromagnetic Fields Theory (EMFT)  >  Test: Stokes Theorem - Electrical Engineering (EE) MCQ

Stokes Theorem - Free MCQ Practice Test with solutions, GATE EE Electromagnetic


MCQ Practice Test & Solutions: Test: Stokes Theorem (10 Questions)

You can prepare effectively for Electrical Engineering (EE) Electromagnetic Fields Theory (EMFT) with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Stokes Theorem". 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: Stokes Theorem - Question 1
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Find the value of Stoke’s theorem for y i + z j + x k.

Detailed Solution: Question 1

Answer: d
Explanation: The curl of y i + z j + x k is i(0-1) – j(1-0) + k(0-1) =
-i –j –k. Since the curl is zero, the value of Stoke’s theorem is zero. The function is said to be irrotational.

Test: Stokes Theorem - Question 2
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The Stoke’s theorem uses which of the following operation?

Detailed Solution: Question 2

Answer: c
Explanation: ∫A.dl = ∫∫ Curl (A).ds is the expression for Stoke’s theorem. It is clear that the theorem uses curl operation.

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Test: Stokes Theorem - Question 3
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Which of the following theorem convert line integral to surface integral?

Detailed Solution: Question 3

Answer: d
Explanation: The Stoke’s theorem is given by ∫A.dl = ∫∫ Curl (A).ds. Green’s theorem is given by, ∫ F dx + G dy = ∫∫ (dG/dx – dF/dy) dx dy. It is clear that both the theorems convert line to surface integral.

Test: Stokes Theorem - Question 4
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Find the value of Stoke’s theorem for A = x i + y j + z k. The state of the function will be

Detailed Solution: Question 4

Answer: Since curl is required, we need not bother about divergence property. The curl of the function will be i(0-0) – j(0-0) + k(0-0) = 0. The curl is zero, thus the function is said to be irrotational or curl free.

Test: Stokes Theorem - Question 5
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The Stoke’s theorem can be used to find which of the following?

Detailed Solution: Question 5

Answer: a
Explanation: It states that the line integral of a function gives the surface area of the function enclosed by the given region. This is computed using the double integral of the curl of the function.

Test: Stokes Theorem - Question 6
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he energy stored in an inductor 2H and current 4A is

Detailed Solution: Question 6

Answer: d
Explanation: From Stoke’s theorem, we can calculate energy stored in an inductor as 0.5Li2. E = 0.5 X 2 X 42 = 16 units.

Test: Stokes Theorem - Question 7
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The voltage of a capacitor 12F with a rating of 2J energy is

Detailed Solution: Question 7

Answer: a
Explanation: We can compute the energy stored in a capacitor from Stoke’s theorem as 0.5Cv2. Thus given energy is 0.5 X 12 X v2. We get v = 0.57 volts.

Test: Stokes Theorem - Question 8
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Find the power, given energy E = 2J and current density J = x2 varies from x = 0 and x = 1.

Detailed Solution: Question 8

Answer: b
Explanation: From Stoke’s theorem, we can calculate P = E X I = ∫ E. J ds
= 2∫ x2 dx as x = 0->1. We get P = 2/3 units.

Test: Stokes Theorem - Question 9
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The conductivity of a material with current density 1 unit and electric field 200 μV is

Detailed Solution: Question 9

Answer: d
Explanation: The current density is given by, J = σE. To find conductivity, σ = J/E = 1/200 X 10-6 = 5000.

Test: Stokes Theorem - Question 10
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The resistivity of a material with resistance 200 ohm, length 10m and area twice that of the length is

Detailed Solution: Question 10

Answer: c
Explanation: Resistance calculated from Ohm’s law and Stoke’s theorem will be R = ρL/A. To get resistivity, ρ = RA/L = 200 X 20/10 = 400.

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About this Electrical Engineering (EE) Practice Test

This test contains 10 MCQs on Stokes Theorem with detailed solutions for each question. It is part of the Electromagnetic Fields Theory (EMFT) 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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If you found this Stokes Theorem MCQ Test helpful, you can further enhance your Electrical Engineering (EE) preparation with in-depth courses on EduRev, for all the subjects and topics available in Electromagnetic Fields Theory (EMFT) course. The course offers:
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