Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 27, Problem 79P
SSM An initially uncharged capacitor C is fully charged by a device of constant emf ℰ connected in series with a resistor R. (a) Show that the final energy stored in the capacitor is half the energy supplied by the emf device. (b) By direct integration of i2 R over the charging time, show that the thermal energy dissipated by the resistor is also half the energy supplied by the emf device.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
An initially uncharged capacitor C is fully charged by a device of constant emf connected in series with a resistor R. (a) Show that the final energy stored in the capacitor is half the energy supplied by the emf device. (b) By direct integration of i2R over the charging time, show that the thermal energy dissipated by the resistor is also half the energy supplied by the emf device.
An uncharged capacitor is connected in series with a battery and a resistor. In terms of the time constant τ, how long does it take the capacitor to charge to 1/3 its max charge?
0.205τ
1.10τ
3τ
None of the above
0.405τ
In an RC circuit, current flows from the battery until thecapacitor is completely charged. Is the total energy supplied by the battery equal to the total energy stored by the capacitor? If not, where does the extra energy go?
Chapter 27 Solutions
Fundamentals of Physics Extended
Ch. 27 - a In Fig. 27-18a, with R1R2, is the potential...Ch. 27 - a In Fig. 27-18a, are resistors R1 and R3 in...Ch. 27 - You are to connect resistors R1 and R2, with R1R2,...Ch. 27 - In Fig. 27-19, a circuit consists of a battery and...Ch. 27 - For each circuit in Fig 27-20, are the resistors...Ch. 27 - Res-monster maze. In Fig. 27-21, all the resistors...Ch. 27 - A resistor R1 is wired to a battery, then resistor...Ch. 27 - What is the equivalent resistance of three...Ch. 27 - Two resistors are wired to a battery. a In which...Ch. 27 - Cap-monster maze. In Fig. 27-22, all the...
Ch. 27 - Initially, a single resistor, R1 is wired to a...Ch. 27 - After the switch in Fig. 27-15 is closed on point...Ch. 27 - Figure 27-24 shows three sections of circuit that...Ch. 27 - SSM WWW In Fig. 27-25, the ideal batteries have...Ch. 27 - In Fig. 27-26, the ideal batteries have emfs 1 =...Ch. 27 - ILW A car battery with a 12 V emf and an internal...Ch. 27 - GO Figure 27-27 shows a circuit of four resistors...Ch. 27 - A 5.0 A current is set up in a circuit for 6.0 min...Ch. 27 - A standard flashlight battery can deliver about...Ch. 27 - A wire of resistance 5.0 is connected to a...Ch. 27 - A certain car battery with a 12.0 V emf has an...Ch. 27 - a In electron-volts, how much work does an ideal...Ch. 27 - a In Fig. 27-28, what value must R have if the...Ch. 27 - SSM In Fig. 27-29, circuit section AB absorbs...Ch. 27 - Figure 27-30 shows a resistor of resistance R =...Ch. 27 - A 10-km-long underground cable extends east to...Ch. 27 - GO In Fig. 27-32a, both batteries have emf = 1.20...Ch. 27 - ILW The current in a single-loop circuit with one...Ch. 27 - A solar cell generates a potential difference of...Ch. 27 - SSM In Fig. 27-33, battery 1 has emf 1 = 12.0 V...Ch. 27 - In Fig. 27-9, what is the potential difference Vd ...Ch. 27 - A total resistance of 3.00 is to be produced by...Ch. 27 - When resistors 1 and 2 are connected in series,...Ch. 27 - Prob. 21PCh. 27 - Figure 27-34 shows five 5.00 resistors. Find the...Ch. 27 - In Fig. 27-35, R1 = 100 , R2 = 50 , and the ideal...Ch. 27 - In Fig. 27-36, R1 = R2 = 4.00 and R3 = 2.50 ....Ch. 27 - SSM Nine copper wires of length l and diameter d...Ch. 27 - Figure 27-37 shows a battery connected across a...Ch. 27 - Side flash. Figure 27-38 indicates one reason no...Ch. 27 - The ideal battery in Fig. 27-39a has emf = 6.0 V....Ch. 27 - In Fig. 27-40, R1 = 6.00 , R2 = 18.0 , and the...Ch. 27 - GO In Fig. 27-41, the ideal batteries have emfs 1...Ch. 27 - SSMGO In Fig. 27-42, the ideal batteries have emfs...Ch. 27 - Both batteries in Fig. 27-43a are ideal. Emf 1 of...Ch. 27 - GO In Fig. 27-44. the current in resistance 6 is...Ch. 27 - The resistances in Figs. 27-45a and b are all 6.0...Ch. 27 - GO In Fig. 27-46, = 12.0 V, R1, = 2000 , R2 =...Ch. 27 - GO In Fig. 27-47, 1 = 6.00 V, 2 = 12.0 V, R1, =...Ch. 27 - In Fig. 27-48, the resistances are R1 = 2.00 , R2...Ch. 27 - Figure 27-49 shows a section of a circuit. The...Ch. 27 - GO In Fig. 27-50, two batteries with an emf =...Ch. 27 - GO Two identical batteries of emf = 12.0 V and...Ch. 27 - In Fig. 27-41, 1 = 3.00 V, 2 = 1.00 V, R1 = 4.00 ,...Ch. 27 - In Fig. 27-52, an array of n parallel resistors is...Ch. 27 - You are given a number of 10 resistors, each...Ch. 27 - GO In Fig. 27-53, R1 = 100 , R2 = R3 = 50.0 , R4 =...Ch. 27 - ILW In Fig. 27-54, the resistances are R1 = 1.0 ...Ch. 27 - In Fig. 27-55a, resistor 3 is a variable resistor...Ch. 27 - SSM A copper wire of radius a = 0.250 mm has an...Ch. 27 - GO In Fig. 27-53, the resistors have the values R1...Ch. 27 - ILW a In Fig. 27-56, what current does the ammeter...Ch. 27 - In Fig. 27-57, R1 = 2.00R, the ammeter resistance...Ch. 27 - In Fig. 27-58, a voltmeter of resistance Rv= 300 ...Ch. 27 - A simple ohmmeter is made by connecting a 1.50V...Ch. 27 - In Fig. 27-14, assume that = 3.0 V, r = 100 , R1 =...Ch. 27 - When the lights of a car are switched on, an...Ch. 27 - In Fig. 27-61, Rsis to be adjusted in value by...Ch. 27 - In Fig. 27-62. a voltmeter of resistance Rv = 300 ...Ch. 27 - Switch S in Fig. 27-63 is closed at time t = 0, to...Ch. 27 - In an RC series circuit, emf = 12.0 V, resistance...Ch. 27 - SSM What multiple of the time constant gives the...Ch. 27 - A capacitor with initial charge q0 is discharge...Ch. 27 - ILW A 15.0 k resistor and a capacitor are...Ch. 27 - Figure 27-64 shows the circuit of a flashing lamp,...Ch. 27 - SSM WWWIn the circuit of Fig. 27-65, = 1.2 kV, C=...Ch. 27 - A capacitor with an initial potential difference...Ch. 27 - GO In Fig. 27-66. R1 = 10.0 k, R2 = 15.0 k, C=...Ch. 27 - Figure 27-67 display two circuits with a charged...Ch. 27 - The potential difference between the plates of a...Ch. 27 - A 1.0 F capacitor with an initial stored energy of...Ch. 27 - GO A 3.00 M resistor and a 1.00 F capacitor are...Ch. 27 - GO Each of the six real batteries in Fig. 27-68...Ch. 27 - In Fig. 27-69, R1 = 20.0 , R2 = 10.0 , and the...Ch. 27 - In Fig.27-70, the ideal battery has emf = 30.0 V,...Ch. 27 - SSM Wires A and B, having equal lengths of 40.0 m...Ch. 27 - What are the a size and b direction up or down of...Ch. 27 - Suppose that, while you are sitting in a chair,...Ch. 27 - GO In Fig. 27-72, the ideal batteries have emfs 1...Ch. 27 - SSM A temperature-stable resistor is made by...Ch. 27 - In Fig. 27-14, assume that = 5.0 V, r = 2.0 , R1...Ch. 27 - SSM An initially uncharged capacitor C is fully...Ch. 27 - In Fig. 27-73, R1 = 5.00 , R2 = 10.0 , R3 = 15.0 ,...Ch. 27 - In Fig. 27-5a, find the potential difference...Ch. 27 - In Fig. 27-8a, calculate the potential difference...Ch. 27 - SSM A controller on an electronic arcade game...Ch. 27 - An automobile gasoline gauge is shown...Ch. 27 - SSM The starting motor of a car is turning too...Ch. 27 - Two resistors R1 and R2 may be connected either in...Ch. 27 - The circuit of Fig. 27-25 shows a capacitor, two...Ch. 27 - In Fig. 27-41, R1 = 10.0 , R2 = 20.0 , and the...Ch. 27 - In Fig. 27-76, R= 10 . what is the equivalent...Ch. 27 - a In Fig. 27-4a, show that the rate at which...Ch. 27 - In Fig. 27-77, the ideal batteries have emfs 1 =...Ch. 27 - Figure 27-28 shows a portion of a circuit through...Ch. 27 - Thermal energy is to be generated in a 0.10 ...Ch. 27 - Figure 27-29 shows three 20.0 resistors. Find the...Ch. 27 - A 120 V power line is protected by a 15 A fuse....Ch. 27 - Figure 27-63 shows an ideal battery of emf = 12...Ch. 27 - SSM A group of N identical batteries of emf and...Ch. 27 - SSM In Fig. 27-48, R1 = R2 = 10.0 , and the ideal...Ch. 27 - SSM In Fig. 27-66, the ideal battery has emf = 30...Ch. 27 - In Fig. 27-81, the ideal batteries have emfs 1 =...Ch. 27 - In Fig. 27-82, an ideal battery of emf = 12.0 V...Ch. 27 - The following table gives the electric potential...Ch. 27 - In Fig. 27-83, 1 = 6.00 V, 2 = 12.0 V, R1= 200 ...Ch. 27 - A three-way 120 V lamp bulb that contains two...Ch. 27 - In Fig. 27-84, R1 = R2 = 2.0 , R3 = 4.0 , R4 = 3.0...
Additional Science Textbook Solutions
Find more solutions based on key concepts
Consider a golf club hitting a golf ball. To a good approximation, we can model this as a collision between the...
College Physics: A Strategic Approach (3rd Edition)
PRACTICE 1.3 The melting point of table salt is 1474oF. What temperature is this on the Celsius and Kelvin scal...
Chemistry (7th Edition)
Calculate the lattice energy of CaCl2 using a Born-Haber cycle and data from Appendices F and L and Table 7.5. ...
Chemistry & Chemical Reactivity
What volume in milliliters of a 0.121 M sodium hydroxide solution is required to reach the equivalence point in...
Introductory Chemistry (6th Edition)
The following data were obtained from a disk-diffusion test. Antibiotic Zone of Inhibition A 15 mm B 0 mm c 7 m...
Microbiology: An Introduction
Which type of cartilage is most plentiful in the adult body?
Anatomy & Physiology (6th 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
- The timing device in an automobile's intermittent wiper system is based on an RC rime constant and utilizes a 0.500F capacitor and a variable resistor. Over whatrange must R be made to vary to achieve time constants from 2.00 to 15.0 s?arrow_forwardThe temperature near the center of the Sun is thought to be 15 million degrees Celsius ( 1.5107oC ) (or kelvin). Through what voltage must a singly charged ion be accelerated to have the same energy as the average kinetic energy of ions at this temperature?arrow_forwardQ (C) capacitor P kapasitor P 0.63 Q. 0.37 Q. 2 uF 3 µF 37 80 5 uF (a) (b) FIGURE 2 RAJAH 2 The graph in FIGURE 2(a) shows how the charge, Q on a capacitor P changes with time, I when it is charged through a 20 Q resistor. Determine the capacitance of capacitor P. (a) Graf dalam RAJAH 2(a) menunjukkan bagaimana cas, Q pada satu kapasitor P berubah dengan masa, t apabila ia dicas melalui satu perintang 20 2. Tentukan kapasitans bagi kapasitor P. (b) Capacitor P is then arranged as shown in FIGURE 2(b). Determine the effective capacitance. Kapasitor P kemudian disusun seperti RAJAH 2(b). Tentukan kapasitans berkesan. 2.arrow_forward
- A capacitor of capacitance 5.0×10-6 F is discharging through a 4.0-MΩ resistor.At what time will the energy stored in the capacitor be half of its initial value?arrow_forwardA resistor with R = 850 Ωis connected to the plates of a charged capacitor with capacitanceC = 4.62 mF. Just before the connection is made, the charge on the capacitoris 6.90 mC. (a) What is the energy initially stored in the capacitor?(b) What is the electrical power dissipated in the resistor just afterthe connection is made? (c) What is the electrical power dissipated inthe resistor at the instant when the energystored in the capacitor hasdecreased to half the value calculated in part (a)?arrow_forwardSuppose that R = 4.0 kΩ What is the time constant for the discharge of the capacitor?arrow_forward
- In the figure R1 = R2 = 10.22 0, and the ideal battery has emf g = 12.08 V. (a) What value of R3 maximizes the rate at which the battery supplies energy and (b) what is that maximum rate? R1 R (a) Number Units Units (b) Numberarrow_forwardA 2.00-nF capacitor with an initial charge of 4.31 µC is discharged through a 2.88-kN resistor. (a) Calculate the current in the resistor 9.00 us after the resistor is connected across the terminals of the capacitor. (Let the positive direction of the current be define dQ > 0.) dt such that The current through the resistor is considered to be negative, so that I = dQ/dt. mA (b) What charge remains on the capacitor after 8.00 us? (c) What is the (magnitude of the) maximum current in the resistor? Аarrow_forwardIn the figure ₁ = 2.40 V, 2 = 0.821 V, R₁ = 4.260, R₂ = 2.67 0, R3 = 4.99 Q, and both batteries are ideal. What is the rate at which energy is dissipated in (a) R₁, (b) R₂, and (c) R3? What is the power of (d) battery 1 and (e) battery 2? www R₁ 18₁ R₂ R₂8₂ (a) Number (b) Number (c) Number (d) Number (e) Number i i Units Units Units Units Unitsarrow_forward
- Watts plssarrow_forwardIn the figure ₁ = 4.03 V, 2 = 0.838 V, R₁ = 5.400, R₂ = 1.660, R3 = 5.39 Q, and both batteries are ideal. What is the rate at which energy is dissipated in (a) R₁, (b) R₂, and (c) R3? What is the power of (d) battery 1 and (e) battery 2? www R₁ R₂ - 18₁ Rs Ef (a) Number i 1.35 Units W (b) Number 0.121 Units W (c) Number i 0.310 (d) Number i (e) Number i Units W Units W Units Warrow_forwardA 3.00 M2 resistor and a 1.00 µF capacitor are connected in series with an ideal battery of emf & = 4.00 V. At 1.00 s after the connection is made, what are the rates at which (a) the charge of the capacitor is increasing? (b) energy is being stored in the capacitor? (c) thermal energy is appearing in the resistor? (d) energy is being delivered by the battery?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill
DC Series circuits explained - The basics working principle; Author: The Engineering Mindset;https://www.youtube.com/watch?v=VV6tZ3Aqfuc;License: Standard YouTube License, CC-BY