Exam 30: Alternating Current Circuits

A 5.00- $\mu$ F capacitor was fully charged by being connected to a 12.0-V battery.The fully charged capacitor is then connected to an RL series combination with L= 0.500 H.If the frequency of the damped oscillation of the circuit is 90.0 Hz,what is the resistance?

Consider a series RLC circuit consisting of a 3.40- $\varOmega$ resistor,a 8.60-mH inductor,and a 5.62-mF capacitor.The circuit is driven by a rms emf of 220 V running at 50 Hz.What is the phase angle between the generator voltage and the current?

At what frequency will a 20-µF capacitor have a reactance X_C = 500 $\varOmega$ ?

An LC series circuit is comprised of a capacitor in series with a 40 mF inductor.The period of electromagnetic oscillations in this circuit is 100 ms.What is the capacitance of the capacitor?

In a series RLC circuit,when is the capacitive reactance equal to the inductive reactance?

An LRC oscillator circuit consists of a 1.00 mH inductor and a 100 nF capacitor.What resistance is necessary for the decay rate of the circuit (the 1/e value)to be equal to the oscillation period?

The total amount of energy stored in an LC series circuit is 8.00 J.When the current through the inductor is equal to half its maximum value,how much energy is stored in the magnetic field?

A resistor,a 20 mH inductor and a 3.0-µF capacitor are connected in series with a time varying emf of 10.0 V and frequency 1000 Hz.The impedance of the circuit is 339 $\varOmega$ .What is the resistance of the resistor?

Consider a series LCR circuit,consisting of a 20-micro Farad capacitance,a 10-milli-Henry inductance,and a 23-Ohm resistor.This circuit is fed by a sinusoidal alternating emf with an amplitude of 2.4 V.What is the resonant frequency?

A 20-mH inductor and an 8-µF capacitor are used to build an LC circuit.At t = 0,the circuit has the maximum current of 0.50A. What is the voltage across the capacitor at that time?

A circuit contains a resistor,a 0.0200-H inductor and 0.500- µF capacitor in series as shown.The time varying emf is 30.0 V at a frequency of 1000 Hz.The current flow through the circuit at this frequency is 128 mA.Determine the value of the resistor.

A radio tuner has a resistance of 1.0 $\mu$$\varOmega$ ,the capacitance is 25.0 nF,and an inductance of 3.00 mH.Find the power in the circuit if the signal produces a voltage across the antenna of 1.50 mV and comes in at a frequency that is 1% higher than the resonance frequency of the tuner.

A circuit contains a 100- $\varOmega$ resistor,a 0.0200-H inductor and 0.500 µF capacitor in series as shown.The time varying emf is 30.0 V at a frequency of 1000 Hz.Determine the voltage drop across the capacitor.

A RLC series circuit is comprised of a 12.0-ohm resistor,8.00-mF capacitor and a 6.00-mH inductor,all in series.What is the minimum value of the impedance of this circuit?

If the peak current in a standard light bulb running on 110 V AC power is 0.72 A,what is the average power drawn by the bulb?

An AC power supply puts out a voltage V = 170sin(2 $\pi$ 60t)and is connected to a resistor R = 20 Ω.What is the power in W dissipated in the resistor?

A circuit contains a 100- $\varOmega$ resistor,a 0.0200-H inductor and 0.500 µF capacitor in series as shown.The time varying emf is 30.0 V at a frequency of 1000 Hz.Determine the current in the circuit.

A 3.0- $\mu$ F capacitor was fully charged by being connected to a 9.0-V battery.The fully charged capacitor is then connected to a 0.50-H inductor.The maximum current in the inductor is

A circuit contains a 100- $\varOmega$ resistor,a 0.0200-H inductor and 1.00 µF capacitor in series as shown.The time varying emf is 30.0 V.What is the resonant angular frequency of the circuit?

We desire to make a circuit which resonates at 100 Hz using an inductance L = 2.5 H.The value of the capacitance should be