A plane electromagnetic wave is moving in free space with velocity
\[
c=3\times10^{8}\ \text{m/s}
\]
and its electric field is given as
\[
\vec E = 54\sin(kz-\omega t)\,\hat{j}\ \text{V/m},
\]
where \(\hat{j}\) is the unit vector along the \(y\)-axis.
The magnetic field \(\vec B\) of the wave is: