For a plane electromagnetic wave, the magnetic field at a point x and time t is B (x, t )=[1.2 × 10^-7 sin (0.5 × 10^3 x+1.5 × 10^11 t ) k ] T The…

For a plane electromagnetic wave, the magnetic field at a point $\displaystyle x$ and time t is $$\overrightarrow{\mathrm{B}}(x, \mathrm{t})=\left[1.2 \times 10^{-7} \sin \left(0.5 \times 10^3 x+1.5 \times 10^{11} \mathrm{t}\right) \hat{\mathrm{k}}\right] \mathrm{T} $$ The instantaneous electric field $\displaystyle \overrightarrow{\mathrm{E}}$ corresponding to $\displaystyle \vec{B}$ is : (speed of light $\displaystyle \mathrm{c}=3 \times 10^8 \mathrm{~ms}^{-1}$ )