Problem 3.334

There are two stationary loops with mutual inductance \(L_{12} .\) The current in one of the loops starts to be varied as \(I_{1}=\alpha t\) where \(\alpha\) is a constant, \(t\) is time. Find the time dependence \(\bar{I}_ {2}(t)\) of the current in the other loop whose inductance is \(L_{2}\) and resistance \(R\).