The electric field in an electromagnetic wave is given as $\overrightarrow{\mathrm{E}}=20 \sin \omega\left(\mathrm{t}-\frac{x}{\mathrm{c}}\right) \overrightarrow{\mathrm{j}} \mathrm{NC}^{-1}$ where $\omega$ and $c$ are angular frequency and velocity of electromagnetic wave respectively. The energy contained in a volume of $5 \times 10^{-4} \mathrm{~m}^{3}$ will be (Given $\varepsilon_{0}=8.85 \times 10^{-12} \mathrm{C}^{2} / \mathrm{Nm}^{2}$ )

Question

The electric field in an electromagnetic wave is given as

$\overrightarrow{\mathrm{E}}=20 \sin \omega\left(\mathrm{t}-\frac{x}{\mathrm{c}}\right) \overrightarrow{\mathrm{j}} \mathrm{NC}^{-1}$

where $\omega$ and $c$ are angular frequency and velocity of electromagnetic wave respectively. The energy contained in a volume of $5 \times 10^{-4} \mathrm{~m}^{3}$ will be

(Given $\varepsilon_{0}=8.85 \times 10^{-12} \mathrm{C}^{2} / \mathrm{Nm}^{2}$ )

$17 \cdot 7 \times 10^{-13} \mathrm{~J}$

$28 \cdot 5 \times 10^{-13} \mathrm{~J}$

$8 \cdot 85 \times 10^{-13} \mathrm{~J}$

$88 \cdot 5 \times 10^{-13} \mathrm{~J}$

Solution

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