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 54.0 m and the electric field vibrates in the xy plane with an amplitude of 18.0 V/m.

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

magnitude      nT   


The figure below shows a plane electromagnetic sinusoidal wave propagating in the x direction. Suppose the wavelength is 54.0 m and the electric field vibrates in the xy plane with an amplitude of 18.0 V/m. Calculate the frequency of the wave Calculate the magnetic field when the electric field has its maximum value in the negative y direction. Write an expression for with the correct unit vector, with numerical values for B max, k, and ?, and with its magnitude in the form

Explanation / Answer

a)

f = c/lamda = 3e8/54 = 5.5556 = 5.56 MHz

b)

magnitude:

B = E/c = 18/3e8 = 60 nT

direction:

-z

c)

k = 2pi/lamda = 2*3.1416/54 = 0.116 m-1

w = 2 pi f = 2*3.1416*5.5556 = 34.9 rad/s

B = 60 cos(0.116 x - 34.9 t)

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