The figure below shows a plane electromagnetic sinusoidal wave propagating in th

Question

The figure below shows a plane electromagnetic sinusoidal wave propagating in the x direction. Suppose the wavelength is 60.0 m and the electric field vibrates in the xy plane with an amplitude of24.0 V/m.

(a) Calculate the frequency of the wave.
MHz

(b) Calculate the magnetic field

when the electric field has its maximum value in the negative y direction.

with the correct unit vector, with numerical values for Bmax, k, and , and with its magnitude in the form

B = Bmax cos (kx t).

(Assume B is measured in nT, x is measured in m and t in s.)

Explanation / Answer

a) Apply, c = lamda*f

f = c/lamda

= 3*10^8/60

= 5*10^6 Hz

= 5 Mhz

b) B = E/c

= 24/(3*10^8)

= 8*10^-8 T

= 0.8 nT

c) here, k = 2*pi/lamda

= 2*pi/60

= 0.1047 m^-1

w = 2*pi*f

= 2*pi*5*10^7

= 3.14*10^7 rad/s

Bmax = 0.8 nT

so,

B = -0.8*cos(0.1047*x - 3.14*10^7*t) k nT

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