GATE EC 2022: Electromagnetics Quiz 5

If flux density D = 5xa_x – 4ya_y + kza_z μC/m² and magnetic flux density B= 2a_y mT. Find the value of k to satisfy Maxwell’s equation if σ = 0 and ρ_V = 0.

At high frequencies, which parameter is significant?

Let μ=10^-5H/m, ϵ = 4 ×10^-9F/m, σ =0 and ρ_V = 0. Find K so that D = 6a_x – 2a_y + 2za_z nC/m² and H = kxa_x – 10ya_y - 25 za_z A/m satisfies Maxwell’s equations.

Consider a vector field . The closed loop line integral can be expressed as

An infinitely long uniform solid wire of radius a carries a uniform dc current of density.
A hole of radius b(b < a) is now drilled along the length of the wire at a distance d from the center of the wire as shown below.

The magnetic field inside the hole is