The dimensions of the rectangular loop of wire in Figure P29.34 are \(\ell=50 \mathrm{~mm}\) and \(w=40 \mathrm{~mm}\). The loop moves at speed \(v=30 \mathrm{~mm} / \mathrm{s}\) through the magnetic field shown. The field magnitude increases linearly from \(B_{\mathrm{i}}\left(x_{\mathrm{i}}\right)=10 \mathrm{mT}\) at \(x_{\mathrm{i}}=300 \mathrm{~mm}\) to \(B_{\mathrm{f}}\left(x_{\mathrm{f}}\right)=60 \mathrm{mT}\) at \(x_{\mathrm{f}}=900 \mathrm{~mm}\). The area vector of the loop is parallel to the magnetic field direction. What is the induced emf in the loop?

Data from Figure P29.34

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