The electric field in an electromagnetic wave is given as E = 20 sin ( ω t - x/c) j N/C where ω and c are angu…

Question

The electric field in an electromagnetic wave is given as $\vec{E} = 20 \sin \left( \omega t - \frac{x}{c} \right) \, \hat{j} \, N/C$ where $\omega$ and $c$ are angular frequency and velocity of electromagnetic wave respectively. The energy contained in a volume of $5 \times 10^{-4} \, \text{m}^3$ will be (Given $\epsilon_0 = 8.85 \times 10^{-12} \, C^2 / Nm^2$ ):

A
$8.85 \times 10^{-13} \, J$
B
$17.7 \times 10^{-13} \, J$
C
$88.5 \times 10^{-13} \, J$
D
$28.5 \times 10^{-13} \, J$

Accepted Answer

A. $$8.85 	imes 10^{-13} \, J$$

Answer

B. $$17.7 	imes 10^{-13} \, J$$

Answer

C. $$88.5 	imes 10^{-13} \, J$$

Answer

D. $$28.5 	imes 10^{-13} \, J$$

Answer & step-by-step solution

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