All Problems

Electromagnetic Induction. Maxwells Equations

Problem 3.328

In the circuit shown in Fig. 3.94 an emf E,\mathscr{E}, a resistance RR, and coil inductances L1L_{1} and L2L_{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 SwS 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)}