CLD 342 Lecture 3: Week 3

An electromagnetic wave has a frequency of 100 MHz and is travelingin a vacuum. The magnetic field is given by B(z,t) = (10-8 T) cos(kz-wt) i. (a) Find the frequency, wavelength, and the direction ofpropagation of this wave. (b) Find the electric vector E(z,t). (c)Give Poynting's vector for this wave.

1. Prove that F(k.r - ?t) is thegeneral solution of the Helmholtz wave equation. Here,(k.r - ?t) is the argument of the functionF.

2. Given, E = (1, 2, 0)Eo exp[j(kz - ?t)] as the electrical fieldcomponent of a plane electromagnetic wave, which is a vector. Findthe magnetic field component, H, and prove that ExH is inz-direction.