Question

First we define the wave as the real part of E(x,t)=(6×104)e^{i(0.5×107x−1.5×1015t)}k

1) write the equation for the real part of Ez

2) determine the speed at which the wave propagates

3) determine the equation for the traveling wave (real part of Ez) if the wave has a wavelength twice as long as the one that you have been plotting. Make sure that your equation still corresponds to a wave propagating at the speed of light in a vacuum! (Hint: it isn't only the wavenumber that has to be changed.)

Answer 1

Concept: the real part of the complex Euler’s formula is used to express the real part of the electromagnetic wave equation. Speed of electromagnetic wave remains constant at speed of light.

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