EXAMPLE 30-8 Damped oscillations. At t = 0, a 40-mH inductor is placed in series with a resistance R = 3.00 and a charged capacitor C = 4.8 μF. (a) Show that this circuit will oscillate. (b) Determine the frequency. (c) What is the time required for the charge amplitude to drop to half its starting value? (d) What value of R will make the circuit nonoscillating?

EXAMPLE 30-8 Damped oscillations. At t = 0, a 40-mH inductor is placed in series with a resistance R = 3.00 and a charged capacitor C = 4.8 μF. (a) Show that this circuit will oscillate. (b) Determine the frequency. (c) What is the time required for the charge amplitude to drop to half its starting value? (d) What value of R will make the circuit nonoscillating?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter33: Inductors And Ac Circuits

Section: Chapter Questions

Problem 31PQ

See similar textbooks

Similar questions

An LC circuit consists of a 3.00 mH inductor and a 5.00 (F capacitor. (a) Find its impedance at 60.00 Hz and 10.0 kHz. (b) Compare these values of Z with those found in Example 23.12 in which there was also a resistor.
A series RLC circuit consists of an 8.00- resistor, 5.00-F capacitor, and a 50.0-mH inductor. A variable frequency source applies an emf of 400 V (rms) across the combination. Assuming the frequency is equal to one-half the resonance frequency, determine the power delivered to the circuit.
Suppose you have a supply of inductors ranging from 1.00 nH to 10.0 H, and capacitors ranging from 1.00 pF to 0.100 F. What is the range of resonant frequencies than can be achieved from combinations of a single inductor and a single capacitor?
When the current through a large inductor is interrupted with a switch, an are appears across the open terminals of the switch. Explain.
To receive AM radio, you want an RLC circuit that can be made to resonate at any frequency between 500 and 1650 kHz. This is accomplished with a fixed 1.00 (H inductor connected to a variable capacitor. What range of capacitance is needed?
In an oscillating LC circuit the maximum charge on the capacitor is 2.0 × 10-6 C and the maximum current through the inductor is 8.0 mA. (a) What is the period of the oscillations? (b) How much time elapses between an instant when the capacitor is uncharged and the next instant when it is fully charged?
Check Your Understanding The angular frequency of the oscillations in an LC circuit is 2.0103rad/s . (a) If L = 0.10H, what is C? (b) Suppose that at t = 0, all the is stored in the inductor. What is the value of ? (c) A second identical capacitor is connected in parallel with the original capacitor. What is the angular frequency of this circuit?
The current I(t) through a 5.0-mH inductor varies with time, as shown below. The resistance of the inductor is 5.0 . Calculate the voltage across the inductor at t = 2.0 ms, r = 4.0 ms, and t = 8.0 ms.
In an LC circuit, what determines the frequency and the amplitude of the energy oscillations in either the inductor or capacitor?
An inductor having inductance I. and a capacitor having capacitance C are connected in series. The current in the circuit increases linearly in time as described by i = Kt, where A is a constant. The capacitor is initially uncharged. Determine (a) the voltage across the inductor as a function of time, (b) the voltage across the capacitor as a function of time, and (c) the time when the energy stored in the capacitor first exceeds that in the inductor.
One application of an RL circuit is the generation of lime-varying high voltage from a low-volt age source as shown in Figure P32.82. (a) What is the current in the circuit a long time after the switch has been in position a? (b) Now the switch is thrown quickly from a to b. Compute the initial voltage across each resistor and across the inductor. (c) How much time elapses before the voltage across the inductor drops to 12.0 Y?
An inductor (L = 400 mH), a capacitor (C = 4.43 F), C1 and a resistor (R = 500 11) are connected in series. A 50.0-Hz AC] source produces a peak current of 250 mA in the circuit, (a) Calculate the required peak voltage Vmax (b) Determine the phase angle by which the current leads or lags the applied voltage.