(4%) Problem 23: A resistor and inductor are connected to a 9.0 V battery by a switch as shown. The moment the switch is
Posted: Mon May 16, 2022 3:16 pm
(4%) Problem 23: A resistor and inductor are connected to a 9.0 V battery by a switch as shown. The moment the switch is closed, current flows through the circuit. The resistor has a resistance of R = 480 and the inductor has an inductance of L = 150 mH. R Randomized Variables L R = 4802 L = 150 mH 9.0V 00000000 = 20% Part (a) At time t = 0 the switch is closed and current flows through the circuit. The current increases with time and eventually reaches a steady state value of imer. Calculate the maximum current imax in units of milliamps. A 20% Part (b) Calculate the time constant, t, of the circuit, in seconds. 4 20% Part (c) Write an equation that relates the current as a function of time i(t) to the maximum current, imce- Express the equation in terms of imar and a, where a = -t/t. A 20% Part (d) Determine the time, in seconds, at which the current has a value of it50) = 50% of imex- 20% Part (e) Determine the time, in seconds, at which the current has a value of i(t99) = 99% of imax