Problem 2 (F): For the RL circuit illustrated above, the circuit was 'closed', meaning that a switch completing the circ
Posted: Sun May 22, 2022 7:03 am
Problem 2 (F): For the RL circuit illustrated above, the circuit was 'closed', meaning that a switch completing the circuit was closed, at t = 0. a) Show that I(t) = E.(1 – el-Rt/L))/R b) Show that, at t = 0, dI/dt = E./L. State why this is consistent with thinking of L as a kind of inertia. c) Draw the graph of I(t) for the case L << R (or, alternately, in the limit L→00). d) Argue that, at any given time, the power being delivered by the battery to the circuit is dW/dt = IE, e) Show that, from 0 to time t, the amount of energy delivered to the circuit is W(t) Li + [*r? RH + (1) 2 f) For the result in e, describe the physical significance of the second term on the RHS. The figure below depicts an LC circuit. 0 If I so current flowing clockwise If I to current flowing counter-clockwise Q L dI at L C =0 С.