First slide

Average energy density of electromagnetic wave

Question

The electric field of a plane electromagnetic wave varies with time of amplitude propagating along z-axis. The average energy density of the magnetic field is (in J m-(c)

Easy

A

$13.29 \times 10^{- 12}$
B

$8.86 \times 10^{- 12}$
C

$17.72 \times 10^{- 12}$
D

$4.43 \times 10^{- 12}$

Solution

In an electromagnetic wave energy is equally distributed in both electric and magnetic field. Total energy density is $\frac{1}{2} ε_{0} E_{0}^{2}$ and energy associated with electric or magnetic field is
$\frac{1}{4} ε_{0} E_{0}^{2} = \frac{1}{4} 4 \times 8.86 \times 10^{- 12}$

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