Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337671729
Author: SERWAY
Publisher: Cengage
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 31, Problem 32P
(a)
To determine
The energy stored in the capacitor at any time
(b)
To determine
The energy stored in the inductor at any time
(c)
To determine
The total energy in the circuit.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
An LC circuit like the one in the figure below contains an 65.0 mH inductor and a 28.0 µF capacitor that initially carries a 170 µC charge. The switch is open for t < 0 and is then thrown
closed at t = 0.
O max
(a) Find the frequency (in hertz) of the resulting oscillations.
Hz
(b) At t = 1.00 ms, find the charge on the capacitor.
(c) At t = 1.00 ms, find the current in the circuit.
mA
(d) What If? What are the first three times (in ms), after t = 0, when the capacitor is fully charged again?
smallest value
ms
ms
largest value
ms
Q00
An LC circuit like the one in the figure below contains an 75.0 mH inductor and a 30.0 uF capacitor that initially carries a 190 uC charge. The switch is open for t<0 and is then thrown closed at t = 0.
Qmax
(a) Find the frequency (in hertz) of the resulting oscillations.
Hz
(b) At t = 1.00 ms, find the charge on the capacitor.
(c) At t = 1.00 ms, find the current in the circuit.
(d) What If? What are the first three times (in ms), after t = 0, when the capacitor is fully charged again?
smallest value
ms
ms
largest value
ms
ell
An LC circuit like that in the figure below consists of a 3.80-H inductor and an 830-pF capacitor that initially carries a 105-μC charge. The switch is open for t < 0 and is then thrown closed at t = 0. Compute the following quantities at t = 2.00 ms.
C
Qmax
L
S
eee
(a) the energy stored in the capacitor
J
(b) the energy stored in the inductor
J
(c) the total energy in the circuit
Chapter 31 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 31.1 - A coil with zero resistance has its ends labeled a...Ch. 31.2 - Prob. 31.2QQCh. 31.3 - Prob. 31.3QQCh. 31.4 - Prob. 31.4QQCh. 31.5 - (i) At an instant of time during the oscillations...Ch. 31 - Prob. 1PCh. 31 - Prob. 2PCh. 31 - Prob. 3PCh. 31 - Prob. 4PCh. 31 - Prob. 5P
Ch. 31 - A toroid has a major radius R and a minor radius r...Ch. 31 - Prob. 7PCh. 31 - Prob. 8PCh. 31 - Prob. 9PCh. 31 - Prob. 10PCh. 31 - Prob. 11PCh. 31 - Prob. 12PCh. 31 - Prob. 13PCh. 31 - You are working as a demonstration assistant for a...Ch. 31 - Prob. 15PCh. 31 - Prob. 16PCh. 31 - Prob. 17PCh. 31 - Prob. 18PCh. 31 - Prob. 19PCh. 31 - Prob. 20PCh. 31 - Prob. 21PCh. 31 - Prob. 22PCh. 31 - Prob. 23PCh. 31 - Prob. 24PCh. 31 - Prob. 25PCh. 31 - Prob. 26PCh. 31 - Prob. 27PCh. 31 - Prob. 28PCh. 31 - In the circuit of Figure P31.29, the battery emf...Ch. 31 - Prob. 30PCh. 31 - Prob. 31PCh. 31 - Prob. 32PCh. 31 - In Figure 31.15, let R = 7.60 , L = 2.20 mH, and C...Ch. 31 - Prob. 34PCh. 31 - Electrical oscillations are initiated in a series...Ch. 31 - Prob. 36APCh. 31 - A capacitor in a series LC circuit has an initial...Ch. 31 - Prob. 38APCh. 31 - Prob. 39APCh. 31 - At the moment t = 0, a 24.0-V battery is connected...Ch. 31 - Prob. 41APCh. 31 - Prob. 42APCh. 31 - Prob. 43APCh. 31 - Prob. 44APCh. 31 - Prob. 45APCh. 31 - At t = 0, the open switch in Figure P31.46 is...Ch. 31 - Prob. 47APCh. 31 - Prob. 48APCh. 31 - Prob. 49APCh. 31 - Prob. 50CPCh. 31 - Prob. 51CPCh. 31 - Prob. 52CPCh. 31 - Prob. 53CP
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- In the LC circuit in Figure 33.11, the inductance is L = 19.8 mH and the capacitance is C = 19.6 mF. At some moment, UB = UE= 17.5 mJ. a. What is the maximum charge stored by the capacitor? b. What is the maximum current in the circuit? c. At t = 0, the capacitor is fully charged. Write an expression for the charge stored by the capacitor as a function of lime. d. Write an expression for the current as a function of time.arrow_forward(i) When a particular inductor is connected to a source of sinusoidally varying emf with constant amplitude and a frequency of 60.0 Hz, the rms current is 3.00 A. What is the rms current if the source frequency is doubled? (a) 12.0 A (b) 6.00 A (c) 4.24 A (d) 3.00 A (e) 1.50 A (ii) Repeat part (i) assuming the load is a capacitor instead of an inductor. (iii) Repeat part (i) assuming the load is a resistor instead of an inductor.arrow_forwardThe 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.arrow_forward
- When a camera uses a flash, a fully charged capacitor discharges through an inductor. In what time must the 0.100-A current through a 2.00-mH inductor be switched on or off to induce a 500-V emf?arrow_forwardWhen a wire carries an AC current with a known frequency, you can use a Rogowski coil to determine the amplitude Imax of the current without disconnecting the wire to shunt the current through a meter. The Rogowski coil, shown in Figure P23.8, simply clips around the wire. It consists of a toroidal conductor wrapped around a circular return cord. Let n represent the number of turns in the toroid per unit distance along it. Let A represent the cross-sectional area of the toroid. Let I(t) = Imax sin t represent the current to be measured. (a) Show that the amplitude of the emf induced in the Rogowski coil is Emax=0nAImax. (b) Explain why the wire carrying the unknown current need not be at the center of the Rogowski coil and why the coil will not respond to nearby currents that it does not enclose. Figure P23.8arrow_forwardAn RLC series circuit consists of a 50 resistor, a 200F capacitor, and a 120-mN inductor whose coil has a resistance of 20. The source for the circuit has an tins emf of 240 V at a frequency of 60 Hz. Calculate the tins voltages across the (a) resistor, (b) capacitor, and (c) inductor.arrow_forward
- An LC circuit like the one in the figure below contains an 65.0 mH inductor and a 16.0 µF capacitor that initially carries a 185 µC charge. The switch is open for t < 0 and is then thrown closed at t = 0. a)Find the frequency (in hertz) of the resulting oscillations. Hz (b)At t = 1.00 ms, find the charge on the capacitor. µC (c)At t = 1.00 ms, find the current in the circuit. mA (d)What If? What are the first three times (in ms), after t = 0,when the capacitor is fully charged again? smallest value ms mslargest value msarrow_forwardAn LC circuit like the one in the figure below contains an 90.0 mH inductor and a 11.0 µF capacitor that initially carries a 160 µC charge. The switch is open for t < 0 and is then thrown closed at t = 0. C Qmax (a) Find the frequency (in hertz) of the resulting oscillations. Hz (b) At t = 1.00 ms, find the charge on the capacitor. (c) At t = 1.00 ms, find the current in the circuit. (d) What If? What are the first three times (in ms), aftert = 0, when the capacitor is fully charged again? smallest value ms ms largest value ms ellarrow_forwardAn LC circuit like the one in the figure below contains an 90.0 mH inductor and a 22.0 µF capacitor that initially carries a 175 µC charge. The switch is open for t < 0 and is then thrown closed at t = 0 C L Qmax (a) Find the frequency (in hertz) of the resulting oscillations. Hz (b) At t = 1.00 ms, find the charge on the capacitor. (c) At t = 1.00 ms, find the current in the circuit. mA (d) What If? What are the first three times (in ms), after t = 0, when the capacitor is fully charged again? smallest value ms ms largest value msarrow_forward
- An LC circuit like the one in the figure below contains an 75.0 mH inductor and a 23.0 µF capacitor that initially carries a 175 μC charge. The switch is open for t < 0 and is then thrown closed at t = 0. Qmax L i (a) Find the frequency (in hertz) of the resulting oscillations. Hz 000 (b) At t = 1.00 ms, find the charge on the capacitor. μC largest value (c) At t = 1.00 ms, find the current in the circuit. mA (d) What If? What are the first three times (in ms), after t = 0, when the capacitor is fully charged again? smallest value ms ms msarrow_forwardAn LC circuit like the one in the figure below contains an 80.0-mH inductor and a 11.0-µF capacitor that initially carries a 170-µC charge. The switch is open for t < 0 and is then thrown closed at t = 0. L Qmax S (a) Find the frequency (in hertz) of the resulting oscillations. 170 Hz (b) At t = 1.00 ms, find the charge on the capacitor. Remember that your answer to part (a) is in hertz rather than radians/second. µC (c) At t = 1.00 ms, find the current in the circuit. ellarrow_forwardAn L-C circuit containing an 80.0 mH inductor and a 1.25 nF capacitor oscillates with a maximum current of 0.730 A. Assuming the capacitor had its maximum charge at time t = 0, calculate the energy stored in the inductor after 2.20 ms of oscillation.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning