Physics - EM Waves Question with Solution | TestHub

The ratio of electric field amplitude to the magnetic field amplitude of an electromagnetic wave is equal to the speed of light in the medium. Therefore,

$$\begin{gathered} c=\frac{E_0}{B_0} \\ \Rightarrow E_0=c{B}_0 \end{gathered}$$

$\Rightarrow E_0=3\times {10}^8\times 2\times {10}^{-8}$

$\Rightarrow E_{\mathit{0}}=6 \mathrm{V} {\mathrm{m}}^{-1}$

According to the given equation $\overrightarrow{B}=2\times {10}^{-8}\sin \left(0.5\times {10}^{3}x+1.5\times {10}^{11}t\right)\hat{\mathrm{j}} \mathrm{T}$ the wave travels in $x$ direction. As electric field and magnetic field vibrate perpendicular to the velocity of light, electric field can not be along $x$ axis.