1. The problem statement, all variables and given/known data Home work 3 Q1 Study the E field in free space and a source-free region, E= (a + b)exp(-jkx), where a and b are nonzero real constants, and in the x,y plane respectively. Does it satisfy Maxwell’s equations? If so, find the k and H fields . If not, explain why not. 2. Relevant equations wave equation - dell^2 E + omega^2 mu epsilon E =0 Faraday's law - curl E = -j omega mu H dispersion relation - k^2 = omega^2 mu epsilon 3. The attempt at a solution Please excuse my lack of understanding I am a bit old for trying to get this degree. curl E = -bjkexp(-jkx) in the z direction, = -j omega mu H so H = [(b/(omega mu))exp(-jkx)]z = [(b/omega mu)cos(omeg t - kx)]z for finding k using the wave formula I think I am to curl E twice and get [-bk^2exp(-jkx)]z + k^2 ([a exp(-jkx)]x + [b exp(-jkx)]y) = 0 = exp(-jkz) ([k^2 a ]x + [k^2 b ]y + [-bk]z) = 0 then ([k^2 a ]x + [k^2 b ]y + [-bk]z) = 0 I feel like I am beating a dead horse here.