Physics

Problem

For the electric field

E(x,t)=3\,\text{V m}^{-1}\,\sin (kx-\omega t)

, the values

k=1.5\times10^{7}\,\text{m}^{-1}

and

\omega=4.5\times10^{15}\,\text{s}^{-1}

are given. Determine whether this field can represent an electromagnetic wave in free space. If it can, calculate the speed of the wave.