Question

The expression of the electric field associated with an electromagnetic wave in vacuum is given by

equation

Determine the wave number, frequency, the direction of propagation and the magnitude and direction of the magnetic field associated with the wave.

29 Apr 2025
Answer :
Word Count : 348
We are given the electric field of an electromagnetic wave in vacuum as: $$ \mathbf{E} = (800\, \text{V/m})\, \hat{\mathbf{x}} \, \sin(2\pi \times 10^8\, t + kz) $$ --- ### Step 1: Compare with standard form of EM wave The general expression for the electric field of a plane electromagnetic wave in vacuum is: $$ \mathbf{E} = E_0\, \hat{e}_E \, \sin(\omega t - kz + \phi) $$ From the given equation: * $E_0 = 800\, \text{V/m}$ * The sine term is $\sin(2\pi \times 10^8\, t + kz)$ So: ____ __________ ____ _______ _______ _________ ______ ___.
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