The energy density associated with electric field $\overrightarrow{ E }$ and magnetic field $B$ of an electromagnetic wave in free space is given by ( $\epsilon_0-$ permittivity of free space, $\mu_0$ – permeability of free space)

An electromagnetic wave of frequency $3\, GHz$ enters a dielectric medium of relative electric permittivity $2.25$ from vacuum. The wavelength of this wave in that medium will be $…….\,\times 10^{-2} \, cm$

The electric and the magnetic field, associated with an e.m. wave, propagating along the $+\, z-$axis, can be represented by

The magnetic field of an electromagnetic wave is given by

$\vec B = 1.6 \times {10^{ – 6}}\,\cos \,\left( {2 \times {{10}^7}z + 6 \times {{10}^{15}}t} \right)\left( {2\hat i + \hat j} \right)\frac{{Wb}}{{{m^2}}}$ The associated electric field will be

The magnetic field in a plane electromagnetic wave is given by, $B=3.01 \times 10^{-7} \sin \left(6.28 \times 10^2 \times+2.2 \times 10^{10} t\right) \,T$. [where $x$ in $cm$ and $t$ in second]. The wavelength of the given wave is ……. $cm$