A plane electromagnetic wave of frequency \( 100 \, \text{MHz} \) is travelling in vacuum along the \( x \)-direction. At a particular point in space and time, \( \vec{B} = 2.0 \times 10^{-8} \, \hat{k} \, \text{T} \). (where, \( \hat{k} \) is unit vector along \( z \)-direction) what is \( \vec{E} \) at this point?
(speed of light \( c = 3 \times 10^{8} \, \text{m/s} \))
