First slide

Average energy density of electromagnetic wave

Question

The average energy density of electromagnetic wave given by $E = (50 N / C) \sin (ωt - kx)$ will be nearly

Moderate

A

$10^{- 8} J / m^{3}$
B

$10^{- 7} J / m^{3}$
C

$10^{- 6} J / m^{3}$
D

$10^{- 5} J / m^{3}$

Solution

Average energy density of electromagnetic wave
$U_{av} = \frac{1}{2} ε_{0} E_{0}^{2} = \frac{1}{2} \times (8 .85 \times 10^{- 12}) \times (50)^{2}$
$\approx 10^{- 8} J / m^{3}$

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