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
$13.29 \times 10^{-12}$
$8.86 \times 10^{-12}$
$17.72 \times 10^{-12}$
$4.43 \times 10^{-12}$
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 $\left.=1.6 \times 10^{-19} C \right)$
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