8.Electromagnetic waves
medium

In an electromagnetic wave, the amplitude of electric field is $1 V/m.$  the frequency of wave is $5 \times {10^{14}}\,Hz$. The wave is propagating along $z-$ axis. The average energy density of electric field, in $Joule/m^3$, will be

A

$1.1 \times {10^{ - 11}}$

B

$2.2 \times {10^{ - 12}}$

C

$3.3 \times {10^{ - 13}}$

D

$4.4 \times {10^{ - 14}}$

Solution

(b)Average energy density of electric field is given by
${u_e} = \frac{1}{2}{\varepsilon _0}{E^2} = \frac{1}{2}{\varepsilon _0}{\left( {\frac{{{E_0}}}{{\sqrt 2 }}} \right)^2} = \frac{1}{4}{\varepsilon _0}E_0^2$
$ = \frac{1}{4} \times 8.85 \times {10^{ – 12}}{(1)^2} = 2.2 \times {10^{ – 12}}J/{m^3}.$

Standard 12
Physics

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