In a region where r = r = 1 and = 0, the retarded

In a region where μ_r = ∈_r = 1 and σ = 0, the retarded potentials are given by V = x(z − ct) V and A = x (z/c − t)a_z Wb/m, where c = 1√μ₀ ∈₀.

(a) Show that ∇ · A = − μ∈ ∂V/∂t.

(b) Find B, H, E, and D.

(c) Show that these results satisfy Maxwell’s equations if J and ρ_ν are zero.