The oscillating magnetic field in a plane electromagnetic wave is given by

B_y= ( 8 x 10^-6) sin ( 2 x 10¹¹ t + 300πx ) Τ

1)Calculate the wavelength of the electromagnetic wave

2)The direction of electric field and direction of propagation of the

electromagnetic wave?

Given that

B_y = (8 × 10^{– 6}) sin (2 × 10¹¹ t + 300 π r) T  .....(1)

We know that

B_y = B₀ sin (Wt – K x)  .....(2)

It shows that variation of magnetic field is along y – axis. And wave is propagating along (+) ve x direction.

Compare equation (1) and (2)

B₀ = 8 × 10^{– 6} T

W = 2 × 10¹¹ rad/s

K = – 300 π m^–1

(–)ve sign show that give wave is propagating along (–)ve x–axis.

(1)

(2) We know that

Hence the direction of electric field along z–axis

And direction of propagation of the electromagnetic wave is negative x direction.