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A vector is said to be solenoidal when its

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Answer & Explanation

Correct AnswerA. Divergence is zero

Quick Explanation

A solenoidal vector field is divergence-free: ∇·A = 0. Physically, it has no net source or sink within the region.

Formula / Key Relation

Solenoidal condition:

∇·A = 0

Example:

∇·B = 0

Detailed Explanation

Concept & Reasoning

Divergence measures the local net outward flux density of a vector field. If divergence is zero everywhere in a region, the field is called solenoidal. Magnetic flux density B is a classic example because ∇·B=0 expresses the absence of magnetic monopoles. Curl is a different operator that measures local rotation and does not define solenoidality.

How to Solve It in the Exam

Solenoidal = divergence zero; irrotational = curl zero.

Important Exam Point

Pair the two vocabulary words with the correct vector operator.

Related Revision Path

This question sits in the revision path Electromagnetic Fields → Vector Calculus → Divergence .

Solenoidal Vector Field explanatory diagram

Quick Trick

Solenoidal = divergence zero; irrotational = curl zero.

Common Mistake

Do not confuse solenoidal with curl-free; a field can be divergence-free and still have nonzero curl.

Exam Tip

Pair the two vocabulary words with the correct vector operator.

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Exam Path

Knowledge Path

Study concept · Solenoidal Vector Field →Practice concept Practice topic

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