Question

The oscillating electric field of an electromagnetic wave is given by E_y = 30 sin (2 x 10¹¹ t + 300 πx) Vm^-1.

(a) Obtain the value of the wavelength of the electromagnetic wave.

(b) Write down the expression for the oscillation magnetic field.

Answer 1

(a) Comparing the given equation, with standard equation

E_y = E₀ sin (ωt + kx)

The magnetic field component is perpendicular to the direction of propagation and the direction of electric field. Therefore, the magnetic field component is along z-axis and is given by

B_z = 10^-7 sin (2 x 10¹¹ t +300 πx) T.