Question

please do all the part of the problem showing all work step by step. Thank you

The electric field traveling in a non-magnetic material is Here δ-90°. Note that the electric field differs from that of problem 2 in δ. Deterine i) complex E ii) complex iii real time H(t) iv) Let r -0. Sketch polarization E(x 0,t) as a function of t. Use t in terms of fractions of

Answer 1

Put it in phasor form

Using pointing theorem

Polarisation concept

Put it in phasor form Using pointing theorem Polarization concept E^rightarrow = y^^cos (2 pi times 10^9 t - 20 pi x) + z^^cos (2 pi times 10^9 t - 20 pi x + 6) where delta = 90 degree omega = 2 pi times 10^9 rad/s beta = 20 pi rad/s wave direction (k^rightarrow) is a^^_x E^rightarrow lies in YZ plane Complex E^rightarrow = Re {e^- j 20 pi x y^^} + Re {e^- 20 pi x - 90 degree z^^} by pointing Theorem, p^rightarrow = E^rightarrow times H^rightarrow Also Vertical-bar E Vertical-bar / Vertical-bar H Vertical-bar = 120 pi Therefore H^rightarrow = 1/120 pi {Re (e^- j 20 pi x) z^^} + 1/120 pi {Re (e^- j (20 pi x - 90 degree) (- y^^)}