Question

Suppose the divergence of magnetic field \(\vec{𝐵}\) is nonzero and is given as \(∇⃗.\vec{𝐵} = \mu_0\rho_m\), where 𝜇₀ is the permeability of vacuum and 𝜌_m is the magnetic charge density. If the corresponding magnetic current density is \(\vec{J}_𝑚\), then the curl \(∇⃗ × \vec{𝐸}\) of the electric field \(\vec{𝐸}\) is

• A. \(\vec{J}_m-\frac{∂\vec{B}}{∂t}\)
• B. \(\mu_0\vec{J}_m-\frac{∂\vec{B}}{∂t}\)
• C. \(-\vec{J}_m-\frac{∂\vec{B}}{∂t}\)
• D. \(-\mu_0\vec{J}_m-\frac{∂\vec{B}}{∂t}\)

Answer 1

The Correct Option is D

The correct option is (D) : \(-\mu_0\vec{J}_m-\frac{∂\vec{B}}{∂t}\).