Exam 21: Alternating-Current Circuits

A series RLC circuit is driven by a 1.0-kHz oscillator. The circuit parameters are V_rms = 12 V, L = 5.0 mH, C = 4.0 μF, and R = 10 Ω. Under steady-state conditions, the rms potential difference across the resistor will be

At what frequency is the reactance ) of a 2-mH inductor equal to the reactance ) of a 100-pF capacitor?

You connect a 100-Ω resistor, a 800-mH inductor, and a 10.0-μF capacitor in series across a 60.0-Hz, 120-V peak) source. The approximate resonant frequency of your circuit is

At what frequency would the reactance ) of a 100-pF capacitor be 1000 Ω?

A series RLC circuit is driven by a 1.0-kHz oscillator. The circuit parameters are Vrms = 12 V, L = 5.0 mH, C = 4.0 μF, and R = 10 Ω. Under steady-state conditions, the rms potential difference across the inductor will be

If you double the frequency in the circuit shown, the inductive reactance ) of the inductor

Most calculators operate on 6.0 V. If, instead of using batteries, you obtain 6.0 V from a transformer plugged into 110-V house wiring, what must the ratio of the primary to the secondary turns be in the transformer? Ignore any changes in voltage due to rectification.)

A transformer is used to change

A 5-μF capacitor is charged to 30 V and is then connected across a 10-μH inductor. The frequency of oscillation of the energy stored in the electric field of the capacitor and the magnetic field of the inductor is

You connect a 250-Ω resistor, a 1.20-mH inductor, and a 1.80-μF capacitor in series across a 60.0-Hz, 120-V peak) source. The approximate impedance of your circuit is

The battery has a voltage V = 6 V, the inductance of the inductor L = 12 mH and the capacitance of the capacitor C = 8 mF. Assume that the inductor and the wires have zero resistance.The switch S was at position a for a long time when it is switched to b. What is the charge on the capacitor at t = 0.487 ms?

As the frequency in this simple AC circuit increases, the rms power dissipated by the resistor

A 500-W toaster is plugged into a 120-V AC outlet. What is the peak current in the toaster?

A circular coil with 20 turns and radius 5 cm is rotated in a uniform magnetic field of 3.2 T. If the maximum voltage induced in the coil is 5 V, calculate the number of rotations of the coil per minute.

The reactance ) of an inductor is 100 Ω at 2 kHz. The inductance of this inductor is

If you place a 40.0-μF capacitor across a generator that has a maximum EMF of 120 V, the capacitive reactance ) when the frequency is 60 Hz is approximately

The battery has a voltage V = 6 V, the inductance of the inductor L = 12 mH and the capacitance of the capacitor C = 8 mF. Assume that the inductor and the wires have zero resistance.The switch S was at position a for a long time when it is switched to b. What is the charge on the capacitor at t = 0 s?

A transformer is used in a converter so that a traveler can use a hair dryer made in the U.S. in their hotel room in Germany. The standard voltage in the U.S. is 120 V. The voltage in Germany is 220 V. The ratio of the number of turns must be

At what frequency would the reactance ) of a 1.0-mH inductor be twice the reactance ) of a 10-μF capacitor?

How much does the maximum EMF produced by a generator a rotating coil) change if its magnetic field is halved?