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 \(l=50 \mathrm{~cm}\)