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GATE 2019 MT – Question 12

Engineering Mathematics · Calculus and vector calculus · 1 mark · Multiple choice

For which depicted vector field is the curl nonzero?

Diagram for GATE 2019 MT question 12
  1. Field A
  2. Field B
  3. Field C
  4. Field D

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Show answer and explanation

Correct answer: (D) Field D

Explanation

The circulating field D has local rotational character and nonzero curl as intended by the diagram. The uniform parallel fields A and C have no spatial variation, while the radial field B has no circulation about a small loop away from its centre. Thus D.

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