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 40.0 m and the electric field vibrates in the xy plane with an amplitude of 26.0 V/m. (a) Calculate the frequency of the wave. MHZ (b) Calculate the magnetic field B when the electric field has its maximum value in the negative y direction. magnitude nT direction (c) Write an expression for B with the correct unit vector, with numerical values for B_max, k, and w, and with its magnitude in the form B = B_max cos (kx - omega t). (Assume B is measured in nT, x is measured in m and t in s.) B = - cos x - times 10^7) t] k nT

Explanation / Answer

Ans a)

we know that c = wavelength*frequency

3e9 = 40*f

f = 7.5e7 Hertz

part b)

Emax = 40 V (given)

we know c = E/B

3e9 = 40/B

B = 1.33e-8 T = 13.34 nT

part c)

Bmax = 13.34 nT

w = 2*pi/ = 4.707e8

k = 2*pi/freq = 8.37e-8

B = 13.34sin(8.37e-8x - 47.07e7) nT

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