All Problems

Electromagnetic Induction. Maxwells Equations

Problem 3.328

In the circuit shown in Fig. 3.94 an emf \(\mathscr{E},\) a resistance \(R\), and coil inductances \(L_{1}\) and \(L_{2}\) are known. The internal resistance of the source and the coil resistances are negligible. Find the steadystate currents in the coils after the switch \(S w\) was shorted.

Reveal Answer
I1=EL2R(L1+L2),I2=EL1R(L1+L2)I_{1}=\frac{\mathscr{E} L_{2}}{R\left(L_{1}+L_{2}\right)}, \quad I_{2}=\frac{\mathscr{E} L_{1}}{R\left(L_{1}+L_{2}\right)}