Exam 30: Alternating Current Circuits

A 3.00- $\mu$ F capacitor was fully charged by being connected to a 9.00-V battery.The fully charged capacitor is then connected to a 0.500-H inductor.The frequency of oscillation of the LC circuit is

You wish to build a high pass filter that passes 11 kHz with an output to input ratio of 0.50 and has an impedance of 1.5 k $\varOmega$ at very high frequencies.What capacitor do you need to use?

An AC circuit has a resistance of 21 ohms,a capacitive reactance of 33 ohms,and an inductance reactance of 44 ohms.What is the rms current when this is connected to a 120V_rms,60-Hz power supply?

An RLC circuit is shown where R = 79.0 $\varOmega$ ,L = 35.0 mH,and C = 65.0 $\mu$ F.These components are connected to an alternating current power supply operating with an angular frequency of $\omega$ .What is the value of $\omega$ (in rad/s)so that the resistor dissipates the most possible energy?

A transformer with 300 turns on its primary coil and 30 turns on its secondary coil is designed to deliver an average power of 600 W with a peak voltage of 24 V.What is the peak current in the primary coil?

An ideal 14-mF capacitor is connected in series with an ideal 6.0-mH inductor.The peak current in the wires between the capacitor and the inductor is 0.30A. What is the total electrical energy in this circuit?

What is the maximum current when a 133 $\varOmega$ resistor is connected to a 240 V_rms,50-Hz power supply?

A radio tuner has a resistance of 1.00 $\mu$$\varOmega$ ,a capacitance of 25.0 nF,and an inductance of 3.00 mH.If the power in the circuit is 3.9 W and it is at the resonance frequency,what is the rms voltage of the signal produced across the antenna?

A 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 R=72.0 $\varOmega$ and L= 0.500 H.If the frequency of the damped oscillation of the circuit is 90.0 Hz,what is the capacitance?

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 power in the circuit if the signal produces an rms voltage across the antenna of 1.50 mV and comes in at the resonance frequency.

An ideal transformer contains a primary coil of 200 turns and a secondary coil of 120 turns.The secondary coil drives a current I through an R = 1-k $\varOmega$ resistor.If an input V_rms = 75 V is applied across the primary coil,how much power is dissipated in the resistor,R?

A motor operated on a 120V/60-Hz line uses 850 watt of power and has a 0.87 power factor.The resistance of the motor is

A low pass filter consists of a 6-kΩ resistor and a 9-mH inductor.What is the breakpoint frequency?

A 100- $\varOmega$ resistor,an 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 inductance of the inductor?

What is the peak current in a standard 75 W light bulb intended to be run on 110 V AC power?

You have an LRC circuit with resistor R = 100 $\varOmega$ capacitance C = 1.9 nF,and inductance L = 47 mH.What is the characteristic impedance when the circuit is at its resonant frequency?

An ideal transformer has 255 loops in its primary coil and 125 loops in its secondary coil.If the primary current is 2.5 A_rms and the device connected to the secondary uses 100 W of power,what is the rms secondary voltage?

An ideal transformer has 255 loops in its primary coil and 125 loops in its secondary coil.If the primary voltage is 120 V_rms and the device connected to the secondary uses 100 W of power,what is the current in the secondary loop?

In an ideal transformer,the rms voltage in the primary is equal to five multiplied by the rms voltage in the secondary.If the rms current in the primary is equal to 10.0 A,then what is the rms current in the secondary?

In the series RLC circuit shown,C = 4 $\mu$ F,L = 5 mH,and R = 1 k $\varOmega$ .What is the maximum current in the circuit if V_peak = 10 V?