Which of the following properties is NOT true for the curl operator?

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Physics · Electromagnetism

Verified Solution4 OptionsUpdated: October 2026👁️1 View

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Correct answer

The curl of a scalar field V, (∇ × V), mathematically makes sense.

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Answer 1

The curl of the gradient of a scalar field vanishes, that is, ∇ × (∇V) = 0.

Answer 2

The curl of a scalar field V, (∇ × V), mathematically makes sense.

Answer 3

The curl of a vector field is another vector field.

Answer 4

The divergence of the curl of a vector field vanishes, that is, ∇ · (∇ × A) = 0.

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