F&W : Tutorial -10

Problems on Maxwell's Equation

Qus.(1) A medium is characterized by σ =0, μ= 2μo and ɛ =5ɛo. If H = 2cos( ωt - 3y)az ,A/m ,calculate ω

and E.

Qus.(2) In a certain region, J = (2yax+ xz ay+z3az) sin10

4t A/m find ρv if ρv (x,y,0,t)=0.

Qus.(3) In a certain region for which σ =0, ɛ = 6.25ɛo and μ= μo the magnetic field of an EM wave is

H= 0.6 cosβx cos108t az, A/m Find β and the corresponding E using Maxwell's equations.

Qus.(4) In a non-magnetic medium, E= 50 cos(109t-8x)ay+ 40 sin(10

9t-8x)az V/m find the dielectric

constant ɛr and the corresponding H.

Qus(5) Assuming a source-free region, derive the diffusion equation,

Qus(6) Given A = 4sinωt ax+ 3 cosωt ay and Bs= j10ze-j z

ax, express A in phase form and Bs in

instantaneous form .