Exam 26: AC Electricity

What is the self-inductance of an ideal solenoid that is 300 cm long with a cross-sectional area of 1.00 × 10^-4 m² and has 1000 turns of wire? (μ₀ = 4π × 10^-7 T ∙ m/A)

What size capacitor must be placed in series with a 40-mH coil so the circuit will oscillate with a frequency of 1000 Hz?

In a RLC circuit, the values of the inductance and capacitance are both halved. As a result of this change, the resonance frequency of the circuit is

An alternating current is supplied to an electronic component with a rating that the voltage across it can never, even for an instant, exceed $16 \mathrm {~V}$ What is the highest rms voltage that can be supplied to this component while staying below the voltage limit?

A simple series circuit consists of just a 3.4-µF capacitor and an 80-mH inductor, with no appreciable resistance. At t = 0 the capacitor has charge 5.4 µC and the current in the inductor is zero. (a) How long after t = 0 will the current in the circuit be maximum? (b) What will be this maximum current?

A series circuit contains an 80-μF capacitor, a 0.020-H inductor, and a switch. The resistance of the circuit is negligible. Initially, the switch is open, the capacitor voltage is 50 V, and the current in the inductor is zero. At time t = 0 s, the switch is closed. What is the maximum current in the circuit?

An ideal step-up transformer doubles a primary voltage of 110 V. What is the ratio of the number of turns in its primary coil to the number of turns in the secondary coil?

An ideal solenoid has a self-inductance L. If you now double its radius and its length, but do not change the number of coils, what will its self-inductance be?

In an RLC ac circuit, the values of the inductance and capacitance are both doubled. As a result of this change, the resonance frequency of the circuit is

A series circuit has a 50-Hz ac source, a 40-Ω resistor, a 0.70-H inductor, and a 60-μF capacitor, as shown in the figure. The rms current in the circuit is 1.6 A. What is the voltage amplitude of the source?

A resistance of 55 Ω, a capacitor of capacitive reactance 30 Ω, and an inductor of inductive reactance 30 Ω are connected in series to a 110-V rms, 60-Hz power source. What rms current flows in this circuit?

What is the rms current through a 0.0010-μF capacitor at 1000 Hz and 5.0 V?

The current through a 50-Ω resistor is I = (0.80). A) sin(240t). What are (a) the current amplitude and (b) the rms current?

What is the reactance of a 1.0-mH inductor at 60 Hz?

If the maximum voltage of an ac signal is 8.0 V, what is the rms value of this voltage?

The figure shows a series ac circuit. The inductor has a reactance of 60 Ω and an inductance of 150 mH. A 50-Ω R and a capacitor C whose reactance is 90 Ω are also in the circuit, and the rms current in the circuit is 1.5 A. What is the rms voltage of the source?

A coil with a self-inductance of 6.0 H is connected to a dc battery through a switch. As soon as the switch is closed, the rate of change of current is 2.0 A/s. What is the emf induced in this coil at this instant?

At what frequency will a 14.0-mH coil have 14.0 Ω of inductive reactance?

Consider a capacitor connected across the ac source. As the capacitance is increased, the current through the capacitor will

A 120-V rms voltage at 60.0 Hz is applied across an inductor, capacitor and a 100-Ω resistor in series. If the maximum value of the current in this circuit is 1.60 A, what is the rms value of the current in this circuit?