Question

The magnetic field in a plane electromagnetic wave is given as

B_y = 2 x 10^-7 sin (1.5 x 10¹¹ t + 500x)T

(a) What is the wave length and frequency of the wave? 

(b) What is the expression for the electric field?

Answer 1

Given B_y = 2 x 10^-7 sin (1.5×10¹¹ t + 500x)T from this expression we obtain

When we compare the above given equation with B_y = B₀ (ωt + kx)

Since the wave velocity (v) is along (-\(\hat{i}\)) and B is along \(\hat{j},\) E has to be along the positive z–axis (or along \(\hat{k})\)