Faraday's law of electromagnetic induction is mathematically described by which one of the following equations?

(A) ∇ · B = 0
(B) ∇ · D = ρ_v
(C) ∇ × E = −∂B/∂t
(D) ∇ × H = σE + ∂D/∂t

Correct answer: (C) ∇ × E = −∂B/∂t

Solution

Option (C) correctly represents Faraday's law of electromagnetic induction, which states that a changing magnetic field over time induces an electric field. This relationship is fundamental in electromagnetism and is mathematically expressed through the curl of the electric field being equal to the negative rate of change of the magnetic field.

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