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The primary and secondary coils of a transformer have \(50\) and \(1500\) turns respectively. If the magnetic flux \(\phi\) linked with the primary coil is given by \(\phi\ =\ \phi_o\ +\ 4t\), where \(\phi\) is in \(weber\), \(t\) is time in \(seconds\) and \(\phi_o\) is a constant, the output voltage across the secondary coil is