Consider a fully charged 25.0- ? F capacitor, a 66.7- ? resistor, and an 30.0-mH inductor connected in a simple, direct-current series circuit with no power supply.
a. What is the angular frequency of the underdamped electrical oscillation in this circuit?
b. Add one capacitor to the circuit to make it critically damped. Give the capacitance of the 2nd capacitor and clearly sketch how it should be added to the circuit.
c. An alternating-current voltage source is added to the original circuit. Determine both the operating frequency, in Hz, and the rms voltage which will result in the voltage lagging the current with a power factor of 0.850 and an rms current of 50.0 mA.