A source in vacuum emits electromagnetic radiation in every direction. At a poin

Question

A source in vacuum emits electromagnetic radiation in every direction. At a point P, located 40m away from the source the electric field is E (z,t) = 10V/m îcos(kz+ 1.6×10^7 radians/s t).

a) Determine the direction of energy transfer at point P.

b) Calculate the frequency and wavelength of this wave.

c) Write down the magnetic field (vector) as a function of position and time only, at point P.



A source in vacuum emits electromagnetic radiation in every direction. At a point P, located 40m away from the source the electric field is E (z,t) = 10V/m îcos(kz+ 1.6×10^7 radians/s t).

a) Determine the direction of energy transfer at point P.

b) Calculate the frequency and wavelength of this wave.

c) Write down the magnetic field (vector) as a function of position and time only, at point P.



c) Write down the magnetic field (vector) as a function of position and time only, at point P.

Explanation / Answer

a)

direction: -z

b)

frequency = f = w/2pi = 1.6e7/2/3.1416 = 2.55 * 10^6 Hz

lamda = c/f = 3e8/2.546e6 = 118 m

c)

B0 = E/c = 10/3e8 = 3.33 * 10^-8 T

B = (3.33*10^-8) * cos(kz + 1.6*10^7 radians/s t).

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