A plane electromagnetic wave travelling in the positive direction of an x axis i

Question

A plane electromagnetic wave travelling in the positive direction of an x axis in vacuum has components E_x = E_y = 0 and E_z = 3.4 v/m) cos[(z times 10^-15 s^-1)(t - x/c)]. What is the amplitude of the magnetic field component? Parallel to which axis does the magnetic field oscillate? When the electric field component is in the positive direction of the z axis at a certain point P, what is the direction of the magnetic field component there? Assume that the speed of light is 2.998 times 10^8 m/s. Number Units the tolerance is +/-5%

Explanation / Answer

a)

peak value of magnetic field

B=E/c =3.4/(3*108)

B=1.13*10-8T or 11.33 nT

b)

y-axis

c)

-y-axis

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