ALTERNATING-CURRENT CIRCUITS — Edward Purcell & David Morin
Physics — E&M · rl-circuit-energy
Problem
Energy in an RL circuit ** Consider the RL circuit discussed in Section 7.9. Show that the energy delivered by the battery up to an arbitrary time t equals the energy stored in the magnetic field plus the energy dissipated in the resistor. Do this by using the expression for I(t) in Eq. (7.69) and explicitly calculating the relevant integrals. This method is rather tedious, so feel free to use a computer to evaluate the integrals. See Problem 7.15 for a much quicker method.