Problem 4.194

A plane electromagnetic wave $\mathbf{E}=\mathbf{E}_ {m} \cos (\omega t-k x)$ propagating in vacuum induces the emf $\mathscr{E}_ {\text {in } d}$ in a square frame with side l. The orientation of the frame is shown in Fig. 4.37. Find the amplitude value $\varepsilon_{\text {ind }},$ if $E_{m}=0.50 \mathrm{mV} / \mathrm{m},$ the frequency $\nu=5.0 \mathrm{MHz}$ and $l=50 \mathrm{~cm}$