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= 220 N and the inductor has an inductance of L = 135 mH. (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 imax: Calculate the maximum current imox in units of milliamps. (b) Calculate the time constant, T, of the circuit, in seconds. (c) Write an equation that relates the current as a function of time i(t) to the maximum current, imax Express the equation in terms of imax and a, where a = -t/T.

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= 220 N and the inductor has an inductance of L = 135 mH. (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 imax: Calculate the maximum current imox in units of milliamps. (b) Calculate the time constant, T, of the circuit, in seconds. (c) Write an equation that relates the current as a function of time i(t) to the maximum current, imax Express the equation in terms of imax and a, where a = -t/T.