Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 28, Problem 47P
One-eighth of a cycle after the capacitor in an LC circuit is fully charged, what are the following as fractions of their peak values: (a) capacitor charge, (b) energy in the capacitor, (c) inductor current, (d) energy in the inductor?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
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 μH inductor connected to a variable capacitor.
What would be the minimum capacitance, in nanofarads, that would be required?
Cmin =
Part (b) What would be the maximum capacitance, in nanofarads, that would be required?
Cmax=
In an LC circuit, what determines the frequency and the amplitude of the energy oscillations in either the inductor or capacitor?
An LC circuit contains a 20 mH inductor and a 50 µF capacitor with an initial charge of 10
mC. The resistance of the circuit is negligible. Let the instant the circuit is closed be t =
0.
(a) What is the total energy stored initially? Is it conserved during LC oscillations?
Chapter 28 Solutions
Essential University Physics (3rd Edition)
Ch. 28.1 - What are the peak voltage and angular frequency of...Ch. 28.2 - Prob. 28.2GICh. 28.3 - You have an LC circuit that oscillates at a...Ch. 28.4 - You measure the capacitor and inductor voltages in...Ch. 28.5 - A resistor and capacitor are connected in series...Ch. 28.6 - A distribution line in a city supplies AC power at...Ch. 28 - Two AC signals have the same amplitude but...Ch. 28 - Whats meant by the statement, A capacitor acts...Ch. 28 - Theres an insulating gap between capacitor plates,...Ch. 28 - Why does it make sense that inductive reactance...
Ch. 28 - The same AC voltage appears across a capacitor and...Ch. 28 - When a particular inductor and capacitor are...Ch. 28 - An inductor and capacitor are connected in series...Ch. 28 - When the capacitor voltage in an undriven LC...Ch. 28 - Why is Equation 28.5 not a full description of the...Ch. 28 - The applied voltage in a series RLC circuit lags...Ch. 28 - The voltage across two components in series is...Ch. 28 - If you measure the rms voltages across the...Ch. 28 - A step-up transformer increases voltage, or energy...Ch. 28 - Much of Europe uses AC power at 230 V rms and 50...Ch. 28 - An industrial electric motor runs at 208 V rms and...Ch. 28 - An AC current is given by I = 495 sin(9.43t), with...Ch. 28 - Prob. 17ECh. 28 - Find the rms current in a 1.0-F capacitor...Ch. 28 - A 470- resistor, 10-F capacitor, and 750-mH...Ch. 28 - Find the reactance of a 3.3-F capacitor at (a) 60...Ch. 28 - A 15-F capacitor carries 1.4 A rms. Whats its...Ch. 28 - A capacitor and a 1.8-k resistor pass the same...Ch. 28 - A 50-mH inductor is connected across a 10-V rms AC...Ch. 28 - Find the resonant frequency of an LC circuit...Ch. 28 - An LC circuit with C = 18 mF undergoes...Ch. 28 - Your sister whos building the radio (Chapter 27...Ch. 28 - An LC circuit with a 20-F capacitor oscillates...Ch. 28 - A series RLC circuit has R = 75 k, L = 20 mH, and...Ch. 28 - Find the impedance at 10 kHz of a circuit...Ch. 28 - A series RLC circuit has R = 18 k, C = 14 F, and L...Ch. 28 - If the peak voltage applied to produce the curves...Ch. 28 - An electric drill draws 4.6 A rms at 120 V rms. If...Ch. 28 - A 40-W fluorescent lamp has power factor 0.85 and...Ch. 28 - An electric water heater draws 20 A rms at 240 V...Ch. 28 - For safety, medical equipment connected to...Ch. 28 - Youre planning a semester in China, so you want to...Ch. 28 - (a) A 2.2-H inductor is connected across 120-V...Ch. 28 - A 2.0-F capacitor has 1.0-k reactance. (a) Whats...Ch. 28 - Show that the unit of both capacitive and...Ch. 28 - Electroencephalography (EEG) elucidates brain...Ch. 28 - At 15 kHz an inductor has 12 times the reactance...Ch. 28 - A 0.75-H inductor is in series with a fluorescent...Ch. 28 - A 2.2-nF capacitor and one of unknown capacitance...Ch. 28 - Connections to the body for electrocardiography...Ch. 28 - The FM radio band covers the frequency range 88108...Ch. 28 - An LC circuit includes a 0.025-F capacitor and a...Ch. 28 - One-eighth of a cycle after the capacitor in an LC...Ch. 28 - The 2420-F capacitor in Fig. 28.25 is initially...Ch. 28 - A damped LC circuit consists of a 0.15-F capacitor...Ch. 28 - A damped RLC circuit includes a 5.0- resistor and...Ch. 28 - An RLC circuit includes a 1.5-H inductor and a...Ch. 28 - The table below shows the ratio of peak voltage to...Ch. 28 - Figure 28.26 shows the phasor diagram for an RLC...Ch. 28 - An AC voltage of fixed amplitude is applied across...Ch. 28 - A series RLC circuit has resistance 127 and...Ch. 28 - A series RLC circuit has power factor 0.764 and...Ch. 28 - Youre Chief Financial Officer for a power company,...Ch. 28 - A car-battery charger runs off the 120-V rms AC...Ch. 28 - A power supply like that of Fig. 28.23 is supposed...Ch. 28 - An RLC circuit includes a 3.3-F capacitor and a...Ch. 28 - A series RLC circuit with R = 1.3 , L = 27 mH, and...Ch. 28 - Differentiate Equation 28.9 to find the current in...Ch. 28 - Find a second frequency where the current in the...Ch. 28 - Two capacitors are connected in parallel across a...Ch. 28 - A black box has two input connections and two...Ch. 28 - A series RLC circuit with R = 47 , L = 250 mH, and...Ch. 28 - A sine-wave generator with 20-V peak output is...Ch. 28 - For RLC circuits in which the resistance isnt too...Ch. 28 - A triangle wave swings linearly between voltages...Ch. 28 - Substitute the expression for q(t) in Equation...Ch. 28 - Although the maximum current flows in the speaker...Ch. 28 - Your professor tells you about the days before...Ch. 28 - A filter is a circuit designed to pass AC signals...Ch. 28 - A filter is a circuit designed to pass AC signals...Ch. 28 - A filter is a circuit designed to pass AC signals...Ch. 28 - A filter is a circuit designed to pass AC signals...
Additional Science Textbook Solutions
Find more solutions based on key concepts
1.14 Classify each of the following as a pure substance or a mixture. If a mixture, indicate whether it is homo...
Chemistry: The Central Science (14th Edition)
What is the difference between cellular respiration and external respiration?
Human Physiology: An Integrated Approach (8th Edition)
47. A block hangs in equilibrium from a vertical spring. When a second identical block is added, the original ...
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
1.1 Write a one-sentence definition for each of the following:
a. chemistry
b. chemical
Chemistry: An Introduction to General, Organic, and Biological Chemistry (13th Edition)
Formic acid is responsible for the sting you feel when stung fire ants. By mass, formic acid is 26.10%C, 4.38%H...
Introductory Chemistry (6th Edition)
16. A positively charged particle is in the center of a parallel-plate capacitor that has charge ±Q on its plat...
College Physics: A Strategic Approach (3rd Edition)
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
- Can a circuit e1eent have both capacitance and inductance?arrow_forwardIn Figure 14.12, =12V , L = 20 mH, and R=5.0. Determine (a) the time constant of the circuit, (b) the initial current through the resistor, (C) the final current through the resistor, (d) the current through the resistor when t=2L , and (e) the voltages across the inductor and the resistor when t=2L .arrow_forwardIn an LC circuit, what determines the frequency and the amplitude of the energy oscillations in either the inductor or capacitor?arrow_forward
- 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?arrow_forwardIn 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_forwardAt 1000 Hz, the reactance of a 5.0-mH inductor is equal to the reactance of a particular capacitor. What is the capacitance of the capacitor?arrow_forward
- After the switch is dosed in the LC circuit shown in Figure CQ32.8, the charge on the capacitor is sometimes zero, but at such instants the current in the circuit is not zero. How is this behavior possible? Figure CQ32.8 Conceptual Question 8 and Problems 52, 54, and. 15.arrow_forwardIn the circuit shown below, S1is opened and S2is dosed simultaneously. Determine (a) the frequency of the resulting oscillations, (b) the maximum charge on the capacitor, (c) the maximum current through the inductor, and (d) the electromagnetic energy of the oscillating circuit.arrow_forwardIn an oscillating RLC circuit, R = 7.0 L. = 10 mH. And C = 3.0 F. Initially, the capacitor has a charge of 8.0 C and the current is zero. Calculate the charge on the capacitor (a) five cycles later and (b) 50 cycles later.arrow_forward
- The self-inductance and capacitance of an oscillating LC circuit are L = 20 mH and C = 1.0 F , respectively. (a) What is the frequency of the oscillation? (b) If the maximum potential difference the plates of the capacitor is 50 V, what is the maximum current in the circuit?arrow_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_forwardAn LC circuit in an AM tuner (in a car stereo) uses a coil with an inductance of 2.5 mH and a variable capacitor. If the natural frequency of the circuit is to be adjustable over the range 540 to 1600 kHz (the AM broadcast band), that range of capacitance is required?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author: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 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 Learning
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
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
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
Introduction To Alternating Current; Author: Tutorials Point (India) Ltd;https://www.youtube.com/watch?v=0m142qAZZpE;License: Standard YouTube License, CC-BY