Exam 31: Alternating Current

An LRC series circuit has R = 15.0 Ω,L = 25.0 mH,and C = 30.0 μF.The circuit is connected to a 120-V (rms)ac source with frequency 200 Hz. (a)What is the impedance of the circuit? (b)What is the rms current in the circuit? (c)What is the rms voltage across the resistor? (d)What is the rms voltage across the inductor? (e)What is the rms voltage across the capacitor?

An alternating current is supplied to an electronic component with a warning that the voltage across it should never exceed What is the highest rms voltage that can be supplied to this component while staying below the voltage limit in the warning?

A 120-V rms voltage at 1000 Hz is applied to an inductor,a 2.00-μF capacitor and a 100-Ω resistor,all in series.If the rms value of the current in this circuit is 0.680 A,what is the inductance of the inductor?

An ideal transformer consists of a 500-turn primary coil and a 2000-turn secondary coil.If the current in the secondary is 3.0 A,what is the current in the primary?

An ac source having a maximum voltage output of 30 V is connected in series with a 50-Ω resistor,a 0.60-H inductor,and a 20-µF capacitor.What is the maximum charge on the capacitor when the frequency of the source is adjusted so that the circuit is in resonance?

A series circuit has a resistance of 4.0 Ω,a reactance (due to the capacitance)of 21.0 Ω,and a reactance (due to the inductance)of 17.0 Ω.Find the impedance of the circuit.

The phase angle of an LRC series circuit with a capacitive reactance of 40 Ω,a resistor of 100 Ω and a certain inductor at 1000 Hz is 40.0°.What is the value of the inductance in this circuit?

The phase angle of an LRC series circuit with an inductive reactance of 200 Ω,a resistor of 200 Ω and a certain capacitor at 1000 Hz is 40.0°.What is the value of the capacitance in this circuit?

For an RLC ac circuit,the rms current is 10 A.If the impedance is 12 kΩ when the voltage leads the current by 39°,find the average power of the circuit.

What is the average power dissipated by a 25-Ω resistor in an LRC series ac circuit for which the power factor is equal to 0.25 and the maximum voltage of the ac source is 8.0 V?

A series ac circuit consists of an inductor having a reactance of 80 Ω and an inductance of 190 mH,a 40-Ω resistor,a capacitor whose reactance is 100 Ω,and an ac source.The rms current in the circuit is measured to be 2.2 A.What is the rms voltage of the source?

A series LRC ac circuit has a resistance of 4.0 kΩ,a capacitance of 33.0 μF,and an inductance of 23.0 H.If the frequency of the alternating current is 2.0/π kHz,what is the phase angle between the voltage and the current?

When an LRC series circuit is driven at resonance,which of the following statements about the circuit are correct? (There may be more than one correct choice.)

An LRC ac series circuit has R = 15 Ω,L = 25 mH,and C = 30 μF.The circuit is connected to a 120-V (rms)ac source with frequency 200 Hz. (a)What is the average power dissipated by the circuit? (b)What is the power factor for the circuit?

A 25.0-mH inductor,a 2.00-μF capacitor,and a certain resistor are connected in series across an ac voltage source at 1000 Hz.If the impedance of this circuit is 200 Ω,what is the resistance of the resistor?

An LRC series circuit consists of an 85.0-Ω resistor,a 14.0-μF capacitor,a 1.50-mH inductor,and a variable frequency ac source of voltage amplitude 13.25 V.At what angular frequency will the inductive reactance be 4.00 times as large as the capacitive reactance?

An LRC series circuit has voltage supplied to it at a frequency of 13.0 kHz with a phase difference between the current and the voltage of magnitude 0.20 rad.If the circuit has a capacitance of 5.0 μF and an inductance of 0.050 H find the resistance of the circuit.

A transformer changes the 10,000 V power line to 120 V.If the primary coil contains 750 turns,how many turns are on the secondary?

A series circuit consists of a 50-Hz ac source,a 50-Ω resistor,a 0.50-H inductor,and a 60-μF capacitor.The rms current in the circuit is measured to be 3.1 A.What is the voltage amplitude of the source?

For an LRC series circuit containing a resistance of a capacitance of and an inductance of what frequency is needed to minimize the impedance?