AC Circuit

Given an RL charging circuit with battery voltage, $\epsilon$ = 30 V, an inductor with L = 30 mH, and a resistor of 50 $\Omega$, how long will it take for the current to reach 75% of its maximum value?

In the circuit below, the switch sw has been open for a long time. At t = 0, the switch closes. Write, as a function of time for t > 0:

B. the energy in the inductor

A 40 uF capacitor is in series with a 100 mH inductor, a 30 ohm resistor, and a 15V AC signal with a frequency of 60Hz. (a) Calculate the capacitive reactance and the inductive reactance in the circuit. (b) Determine the impedance. (c) Calculate the rms current in the circuit. (d) Calculate the voltage across the resistor, the inductor, and the capacitor. (e) How much power is consumed in the circuit? (f) What is the resonant frequency of the circuit?

A 50 $\mu$F capacitor is charged to 12V and then connected across a 60 mH inductor. What is the maximum current that will flow in the circuit?