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For static electric and magnetic fields in an inhomogeneous source-free medium, which of the following represents the correct form of two of Maxwell’s equations?

1. (A) ∇·E = 0, ∇×B = 0
2. (B) ∇·E = 0, ∇·B = 0
3. (C) ∇×E = 0, ∇×B = 0
4. (D) ∇×E = 0, ∇·B = 0

Correct answer: (D) ∇×E = 0, ∇·B = 0

Solution

The correct option states that the curl of the electric field is zero, indicating that the electric field is static and conservative, while the divergence of the magnetic field is also zero, consistent with the absence of magnetic monopoles in a source-free medium.

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