All Problems

Electromagnetic Induction. Maxwells Equations

Problem 3.335

A coil of inductance L=2.0μHL=2.0 \mu \mathrm{H} and resistance R=1.0ΩR=1.0 \Omega is connected to a source of constant emf E=3.0 V\mathscr{E}=3.0 \mathrm{~V} (Fig. 3.96). A resistance R0=2.0ΩR_{0}=2.0 \Omega is connected in parallel with the coil. Find the amount of heat generated in the coil after the switch SwS w is disconnected. The internal resistance of the source is negligible.

Reveal Answer
Q=LE22R2(1+R0/R)=3μJQ=\frac{L \mathscr{E}^{2}}{2 R^{2}\left(1+R_{0} / R\right)}=3 \mu \mathrm{J}