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Curl - Free MCQ Practice Test with solutions, GATE EE Electromagnetic Fields


MCQ Practice Test & Solutions: Test: Curl (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: Curl". 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: Curl - Question 1

Curl is defined as the angular velocity at every point of the vector field. State True/False. 

Detailed Solution: Question 1

Answer: a
Explanation: Curl is defined as the circulation of a vector per unit area. It is the cross product of the del operator and any vector field. Circulation implies the angular at every point of the vector field. It is obtained by multiplying the component of the vector parallel to the specified closed path at each point along it, by the differential path length and summing the results.

Test: Curl - Question 2

The curl of curl of a vector is given by, 

Detailed Solution: Question 2

Answer: b
Explanation: Curl (Curl V) = Grad (Div V) – (Del)2V is a standard result of the curl operation.

Test: Curl - Question 3

Which of the following theorem use the curl operation?

Detailed Solution: Question 3

Answer: c
Explanation: The Stoke’s theorem is given by ∫ A.dl = ∫Curl(A).ds, which uses the curl operation. There can be confusion with Maxwell equation also, but it uses curl in electromagnetics specifically, whereas the Stoke’s theorem uses it in a generalised manner. Thus the best option is c.

Test: Curl - Question 4

The curl of a curl of a vector gives a

Detailed Solution: Question 4

Answer: b
Explanation: Curl is always defined for vectors only. The curl of a vector is a vector only. The curl of the resultant vector is also a vector only.

Test: Curl - Question 5

Find the curl of the vector and state its nature at (1,1,-0.2)F = 30 i + 2xy j + 5xz2 k

Detailed Solution: Question 5

Answer: d
Explanation: Curl F = -5z2 j + 2y k. At (1,1,-0.2), Curl F = -0.2 j + 2 k. |Curl F| = √(-0.22+22) = √4.04.

Test: Curl - Question 6

 Is the vector is irrotational. E = yz i + xz j + xy k 

Detailed Solution: Question 6

Answer: a
Explanation: Curl E = i(Dy(xy) – Dz(xz)) – j (Dx(xy) – Dz(yz)) + k(Dx(xz) – Dy(yz)) =
i(x – x) – j(y – y) + k(z – z) = 0
Since the curl is zero, the vector is irrotational or curl-free.

Test: Curl - Question 7

 Find the curl of A = (y cos ax)i + (y + ex)k

Detailed Solution: Question 7

Answer: b
Explanation: Curl A = i(Dy(y + ex)) – j (Dx(y + ex) – Dz(y cos ax)) + k(-Dy(y cos ax))
= 1.i – j(ex) – k cos ax = i – ex j – cos ax k.

Test: Curl - Question 8

Find the curl of the vector A = yz i + 4xy j + y k

Detailed Solution: Question 8

Answer: d
Explanation: Curl A = i(Dy(y) – Dz(0)) – j (Dx(0) – Dz(yz)) + k(Dx(4xy) – Dy(yz)) =
i + y j + (4y – z)k, which is option d.

Test: Curl - Question 9

Curl cannot be employed in which one of the following?

Detailed Solution: Question 9

Answer: d
Explanation: In the options a, b, c, the EM waves travel both in linear and angular motion, which involves curl too. But in waveguides, as the name suggests, only guided propagation occurs (no bending or curl of waves).

Test: Curl - Question 10

Which of the following Maxwell equations use curl operation?

Detailed Solution: Question 10

Answer: a
Explanation: Maxwell 1st equation, Curl (H) = J (Ampere law)
Maxwell 2nd equation, Curl (E) = -D(B)/Dt (Faraday’s law)
Maxwell 3rd equation, Div (D) = Q (Gauss law for electric field)
Maxwell 4th equation, Div (B) = 0(Gauss law for magnetic field)
It is clear that only 1st and 2nd equations use the curl operation.

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