Physics For Scientists And Engineers: Foundations And Connections, Extended Version With Modern Physics
1st Edition
ISBN: 9781305259836
Author: Debora M. Katz
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Question
Chapter 29, Problem 93PQ
To determine
Show that the charge on a discharging capacitor is given as
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
100.0kN and C
Given the following RC circuit, with R
time constant T. Then let a voltage of 45.0 V be applied to a charging capacitor.
How long will it take for the capacitor to reach four fifths of the original charge Qmaz?
12.5µF, determine the
R
I
V
This problem involves analyzing an RC circuit. See the circuit diagram below.
Switch closes
at t = 0 s.
А.
When the switch closes at t = 0, the capacitor will begin to charge. What is AVc a
very long time after the switch has closed? After a very long time, what is the maximum charge
on the capacitor, Qmax in terms of a combination of problem variables Ɛ, C or R?
%3D
Apply Kirchhoff's loop law starting clockwise from the lower left corner. Write down the loop
equation for this circuit. How is the current through the resistor related to the instantaneous
capacitor charge? Is I = + dQ/dt or I = – dQ/dt? Explain.
|
В.
The Kirchhoff loop equation from part (A) should be a differential equation in terms
of dQ/dt. Using the differential equation technique “separation of variables" show that charge
as a function of time is given by Q(t) = Qmax(1 – e-t/t).
С.
Using the result of part (B) determine and expression for the current as a function of
time 1(t).
Sketch Q (t) and I(t) from t = 0 to t…
In a RC circuit connected to a battery, when the switch S is closed, charge on the capacitor
rises to 1 % of the final value in 2 seconds. If the capacitor is 86 μF, what would be the
value of R which will charge the capacitor? Choose the closest answer to the value you
calculated.
바
10 ΚΩ
50 ΚΩ
2.5 ΚΩ
0.5 ΚΩ
1.5 ΚΩ
5 ΚΩ
A.
B.
C.
D.
E.
F.
www
Chapter 29 Solutions
Physics For Scientists And Engineers: Foundations And Connections, Extended Version With Modern Physics
Ch. 29.1 - What are the SI units of ?Ch. 29.1 - Prob. 29.2CECh. 29.2 - Prob. 29.3CECh. 29.4 - Prob. 29.5CECh. 29.4 - Prob. 29.6CECh. 29.5 - Prob. 29.7CECh. 29 - Study the symbols in Table 29.2. Then, without...Ch. 29 - Prob. 2PQCh. 29 - Prob. 3PQCh. 29 - Suppose you need to measure the potential...
Ch. 29 - Prob. 5PQCh. 29 - Prob. 6PQCh. 29 - A real battery (modeled as an ideal emf device in...Ch. 29 - Prob. 8PQCh. 29 - Two circuits made up of identical ideal emf...Ch. 29 - Prob. 10PQCh. 29 - Prob. 11PQCh. 29 - Prob. 12PQCh. 29 - Eight real batteries, each with an emf of 5.00 V...Ch. 29 - Prob. 14PQCh. 29 - Prob. 15PQCh. 29 - Prob. 16PQCh. 29 - Prob. 17PQCh. 29 - Prob. 18PQCh. 29 - Prob. 19PQCh. 29 - An ideal emf device with emf is connected to two...Ch. 29 - Prob. 21PQCh. 29 - Prob. 22PQCh. 29 - Prob. 23PQCh. 29 - Prob. 24PQCh. 29 - Prob. 25PQCh. 29 - Prob. 26PQCh. 29 - Determine the currents through the resistors R2,...Ch. 29 - The emf devices in the circuits shown in Figure...Ch. 29 - Prob. 29PQCh. 29 - Prob. 30PQCh. 29 - Prob. 31PQCh. 29 - Prob. 32PQCh. 29 - Prob. 33PQCh. 29 - Prob. 34PQCh. 29 - A Figure P29.35 shows a combination of six...Ch. 29 - A Each resistor shown in Figure P29.36 has...Ch. 29 - Each resistor shown in Figure P29.36 has a...Ch. 29 - Prob. 38PQCh. 29 - Prob. 39PQCh. 29 - The emf in Figure P29.40 is 4.54 V. The...Ch. 29 - Figure P29.41 shows three resistors (R1 = 14.0 ,...Ch. 29 - Figure P29.42 shows five resistors and two...Ch. 29 - The emfs in Figure P29.43 are 1 = 6.00 V and 2 =...Ch. 29 - Prob. 44PQCh. 29 - Figure P29.45 shows five resistors connected...Ch. 29 - Figure P29.46 shows a circuit with a 12.0-V...Ch. 29 - Two ideal emf devices are connected to a set of...Ch. 29 - Two ideal emf devices are connected to a set of...Ch. 29 - Three resistors with resistances R1 = R/2 and R2 =...Ch. 29 - Prob. 51PQCh. 29 - Prob. 52PQCh. 29 - Prob. 53PQCh. 29 - Prob. 55PQCh. 29 - At time t = 0, an RC circuit consists of a 12.0-V...Ch. 29 - A 210.0- resistor and an initially uncharged...Ch. 29 - Prob. 58PQCh. 29 - A real battery with internal resistance 0.500 and...Ch. 29 - Figure P29.60 shows a simple RC circuit with a...Ch. 29 - Prob. 61PQCh. 29 - Prob. 62PQCh. 29 - Prob. 63PQCh. 29 - Ralph has three resistors, R1, R2, and R3,...Ch. 29 - Prob. 65PQCh. 29 - An ideal emf device is connected to a set of...Ch. 29 - Prob. 67PQCh. 29 - An ideal emf device (24.0 V) is connected to a set...Ch. 29 - Prob. 69PQCh. 29 - What is the equivalent resistance between points a...Ch. 29 - A capacitor with initial charge Q0 is connected...Ch. 29 - Prob. 73PQCh. 29 - Prob. 74PQCh. 29 - Prob. 75PQCh. 29 - Prob. 76PQCh. 29 - Figure P29.77 shows a circuit with two batteries...Ch. 29 - In the RC circuit shown in Figure P29.78, an ideal...Ch. 29 - Prob. 79PQCh. 29 - Calculate the equivalent resistance between points...Ch. 29 - In Figure P29.81, N real batteries, each with an...Ch. 29 - Prob. 82PQCh. 29 - Prob. 83PQCh. 29 - Prob. 84PQCh. 29 - Figure P29.84 shows a circuit that consists of two...Ch. 29 - Prob. 86PQCh. 29 - Prob. 87PQCh. 29 - Prob. 88PQCh. 29 - Prob. 89PQCh. 29 - Prob. 90PQCh. 29 - Prob. 91PQCh. 29 - Prob. 92PQCh. 29 - Prob. 93PQCh. 29 - Prob. 94PQCh. 29 - Prob. 95PQ
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
- At time t = 0, an RC circuit consists of a 12.0-V emf device, a 60.0- resistor, and a 150.0-F capacitor that is fully charged. The switch is thrown so that the capacitor begins to discharge. a. What is the time constant t of this circuit? b. How much charge is stored by the capacitor at t = 0.5, 2, and 4?arrow_forwardEight real batteries, each with an emf of 5.00 V and an internal resistance of 0.200 , are connected end to end in a loop as in Figure P29.13. What is the terminal voltage across one of the batteries between points a and b?arrow_forwardThree resistors with resistances R1 = R/2 and R2 = R3 = R are connected as shown, and a potential difference of 225 V is applied across terminals a and b (Fig. P29.49). a. If the resistor R1 dissipates 75.0 W of power, what is the value of R? b. What is the total power supplied to the circuit by the emf? c. What is the potential difference across each of the three resistors?arrow_forward
- (a) What is the average power output of a heart defibrillator that dissipates 400 J of energy in 10.0 ms? (b) Considering the high-power output, why doesn’t the defibrillator produce serious bums?arrow_forwardTwo ideal emf devices are connected to a set of resistors as shown in Figure P29.47. If 1 = 6.00 V, R1 = 10.00 , R2 = 5.00 , R3 = 15.00 , R4 = 20.00 , and the current through R4 is 0.250 , what is the emf 2?arrow_forwardTwo circuits made up of identical ideal emf devices ( = 1.67 V) and resistors (R = 35.9 ) are shown in Figure P29.8. What is the potential difference Vb Va a. for circuit 1 and b. for circuit 2? What is the current in the resistor c. in circuit 1 and d. in circuit 2?arrow_forward
- Determine the currents through the resistors R2, R5, R6, and R7 in the set of junctions and branches shown in Figure P29.27. Hint: Use Kirchhoffs junction rule, be sure to consider the branches where a current is shown, and assume the branches that appear disconnected are connected to other parts of the circuit. FIGURE P29.27arrow_forward(a) Determine the equilibrium charge on the capacitor in the circuit of Figure P27.46 as a function of R. (b) Evaluate the charge when R = 10.0 . (c) Can the charge on the capacitor be zero? If so, for what value of R? (d) What is the maximum possible magnitude of the charge on the capacitor? For what value of R is it achieved? (c) Is it experimentally meaningful to take R = ? Explain your answer. If so, what charge magnitude does it imply? Figure P27.46arrow_forward(a) During surgery, a current as small as 20.0 ? applied directly to the heart may cause ventricular fibrillation. If the resistance of the exposed heart is 300 , what is the smallest voltage that poses this danger? (b) Does your answer imply that special electrical safety precautions are needed?arrow_forward
- b. A capacitor in a RC circuit is charged for a long time as shown in the Figure below, where the battery voltage V=6V. The switch s is flipped from a to b and the capacitor discharges through the R = 4 MQ resistor. 4 seconds after the switch is flipped to discharge the capacitor, the voltage across the capacitor is 3 V. What are (a) The time constant of this circuit (b) The capacitance of the capacitor (c) The current in the circuit and the charge on the capacitor just before the switch is flipped from a to b. (d) The current in the circuit immediately after the switch is flipped from a to barrow_forwardUsing your data, answer the following questions: a. To three decimal places, what fraction of the total charge does a capacitor in an RC circuit have after charging for 4.15 time constants; the fraction f such that q(4.15t) = fQmaxarrow_forward78. A In the RC circuit shown in Figure FOR P29.78, an ideal battery with emf CHEST E and internal resistance r is con- no bruta 101 nected to capacitor C. The switch OTU S is initially open and the capacitor noilor is uncharged. At t = 0, the switch 20 is closed. srit word or abs gnizu dmod odi unslaviups 15/vol S ε reutills α.— himmisiob of W+0.000 21 d I f es bspar 21251 in 152 s ban a. Determine the charge q on the capacitor at time t. Tro b. Find the current in the branch b-e at time t. What is the the 1569 € 210121231 910 current as t goes to infinity? 100% www r b e digi Div ST 0 R + 20, 251 29gnado 101000 9.00 V bilov adi tol noia201qzs FIGURE P29.77 5.00 265 Ω www STEVO R www.c FIGURE P29.78 poses. 79. N A 12.0-V battery is used to cho **** 21 memisa M.ET C - - с d b bes 19lbbigarrow_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 LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- College PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax CollegePrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
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
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:OpenStax College
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
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