Physics 2: RLC Circuits

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 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?

A LC circuit consists of a 10 mH inductor and a 1 microfarad capacitor. If the maximum instantaneous current is 0.1 A, what is the greatest potential difference across the capacitor?

Before the switch is closed, the capacitor is uncharged and all currents are zero.
B. A long time after the switch is closed, find the voltage drop across and the current through the capacitor, inductor, and resistor.

What are the maximum voltage drops across each element? What is the average power dissipated in the circuit?

An AC circuit with a 450 ##\Omega## resistor, 1.7 H inductor, and a 10 ##\mu##F capacitor oscillates at a frequency of 50 Hz. If the source voltage is 220 V (rms), find the following:

• inductive reactance
• capacitive reactance
• impedance
• rms current of circuit
• max voltage across resistor
• rms voltage across capacitor
• max voltage across inductor
• average power dissipated in circuit
• power factor
• phase angle between current and voltage
• resonant frequency of the circuit