Question

Question 2: For an electromagnetic plane wave, the electric field is given by:

$$ \vec{E}=E_{0} \cos (k z+\omega t) \hat{x}+0 \hat{y}+0 \hat{z} $$

a) Determine the direction of propagation of the electromagnetic wave.

b) Find the magnitude and direction of the magnetic field for the given electromagnetic wave \(\vec{B}\).

c) Calculate the Poynting vector associated with this electromagnetic wave. What direction does this vector point? Does this makes sense?

d) If the amplitude of the magnetic field was measured to be \(2.5 * 10^{-7} \mathrm{~T}\), determine numerical values for the amplitude of the electric field and the Poynting vector.

Answer 1

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