The electric field of a plane electromagnetic wave varies with time of amplitude $2\, Vm^{-1}$ propagating along $z$ -axis. The average energy density of the magnetic field  (in $J\, m^{-3}$) is 

  • A

    $13.29 \times 10^{-12}$

  • B

    $8.86 \times 10^{-12}$

  • C

    $17.72 \times 10^{-12}$

  • D

    $4.43 \times 10^{-12}$

Similar Questions

Which of the following statement is false for the properties of electromagnetic waves ?

An electron is constrained to move along the $y-$axis with a speed of $0.1\, c$ (c is the speed of light) in the presence of electromagnetic wave, whose electric field is $\overrightarrow{ E }=30 \hat{ j } \sin \left(1.5 \times 10^{7} t -5 \times 10^{-2} x \right)\, V / m$ The maximum magnetic force experienced by the electron will be: (given $c=3 \times 10^{8}\, ms ^{-1}$ and electron charge $\left.=1.6 \times 10^{-19} C \right)$

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The electric field for a plane electromagnetic wave travelling in the $+y$ direction is  shown.  Consider a point where $\vec E$ is in $+z$ direction. The $\vec B$ field is

The electric field component of an electromagnetic wave in vaccum is given as $\vec E = 3\cos \,\left( {1.8y + 5.4 \times {{10}^8}\,t} \right)\hat i$ Its direction of propagation and wavelength is 

Magnetic field in a plane electromagnetic wave is given by 

$\vec B = {B_0}\,\sin \,\left( {kx + \omega t} \right)\hat jT$

 Expression for corresponding electric field will be Where $c$ is speed of light

  • [JEE MAIN 2017]