Solveeit Logo
Login

Question

Physics Question on Magnetism and Maxwell's Equations

Suppose the divergence of magnetic field 𝐵⃗\vec{𝐵} is nonzero and is given as ∇⃗.𝐵⃗=μ0ρm∇⃗.\vec{𝐵} = \mu_0\rho_m, where 𝜇0 is the permeability of vacuum and 𝜌m is the magnetic charge density. If the corresponding magnetic current density is J⃗𝑚\vec{J}_𝑚, then the curl ∇⃗×𝐸⃗∇⃗ × \vec{𝐸} of the electric field 𝐸⃗\vec{𝐸} is

A

J⃗m−∂B⃗∂t\vec{J}_m-\frac{∂\vec{B}}{∂t}

B

μ0J⃗m−∂B⃗∂t\mu_0\vec{J}_m-\frac{∂\vec{B}}{∂t}

C

−J⃗m−∂B⃗∂t-\vec{J}_m-\frac{∂\vec{B}}{∂t}

D

−μ0J⃗m−∂B⃗∂t-\mu_0\vec{J}_m-\frac{∂\vec{B}}{∂t}

Answer

−μ0J⃗m−∂B⃗∂t-\mu_0\vec{J}_m-\frac{∂\vec{B}}{∂t}

Explanation

Solution

The correct option is (D) : −μ0J⃗m−∂B⃗∂t-\mu_0\vec{J}_m-\frac{∂\vec{B}}{∂t}.