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Fundamentals of Physics, Volume 1, Chapter 1-20
10th Edition
ISBN: 9781118233764
Author: David Halliday
Publisher: WILEY
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Textbook Question
Chapter 27, Problem 39P
GO In Fig. 27-50, two batteries with an emf ℰ = 12.0 V and an internal resistance r = 0.300 Ω are connected in parallel across a resistance R. (a) For what value of R is the dissipation rate in the resistor a maximum? (b) What is that maximum?
Figure 27-50Problems 39 and 40.
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103 In Fig. 27-83, E, = 6.00 V, E, =
12.0 V, R, = 200 N, and R, = 100 N.
%3!
%3D
R.
What are the (a) size and (b) direction
(up or down) of the current through
resistance 1, the (c) size and (d) direc-
tion of the current through resistance
2, and the (e) size and (f) direction of
the current through battery 2?
Figure 27-83 Problem 103.
A PHY-102 connected a RC circuit
using a 3 MQ resistor, 1 µF
capacitor, and 4 V battery. The
rate at which the energy is being
stored (in 10-6 w) in the capacitor
at t = 1s is:
O 1.13
O 0.95
O 3.82
O 1.08
2.74
14 O In Fig. 27-32a, both batteries have emf & = 1.20 V and the
external resistance R is a variable resistor. Figure 27-32b gives the
electric potentials V between the terminals of each battery as func-
tions of R: Curve 1 corresponds to battery 1, and curve 2 corre-
sponds to battery 2. The horizontal scale is set by R, = 0.20 2. What
is the internal resistance of (a) battery 1 and (b) battery 2?
0.5
-0.3
R (2)
(a)
(6)
(A)A
Chapter 27 Solutions
Fundamentals of Physics, Volume 1, Chapter 1-20
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...
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- 95 In Fig. 27-79, E, = 6.00 V, = 12.0 V, R = 100 0, R, = 200 N, and R, = 300 N. One point of the circuit is grounded (V = the (a) size and (b) direction (up or down) of the current through resistance 1, the (c) size and (d) direction (left or right) of the current through resistance 2, and the (e) size and (f) direction of the current through resistance 3? (g) What is the electric potential at point A? 0), What arearrow_forwardChapter 27, Problem 039 GO In the figure two batteries of emf E = 11.0 V and internal resistance r = 0.306 are connected in parallel across a resistance R. (a) For what value of R is the dissipation rate in the resistor a maximum? (b) What is that maximum? HF 8 FWW 8 Rarrow_forwardIn the figure two batteries of emf E = 11.0V and internal resistance r = 0.240 Q are connected in parallel across a resistance R. (a) For what value of R is the dissipation rate in the resistor a maximum? (b) What is that maximum? R ww (a) Number i Units (b) Number i Unitsarrow_forward
- A capacitor of capacitance C = 7.5 μF is initially uncharged. It is connected in series with a switch of negligible resistance, a resistor of resistance R = 11.5 kΩ, and a battery which provides a potential difference of VB = 110 V (a) Calculate the current I a very long time after the switch has been closed in A. (b) Calculate the time t after which the current through the resistor is one-third of its maximum value in s. (c) Calculate the charge Q on the capacitor when the current in the resistor equals one third its maximum value in C.arrow_forwardIn the figure R1= R2= 10.04 Q, and the ideal battery has emf = 12.15 V. (a) What value of R3 maximizes the rate at which the battery supplies energy and (b) what is that maximum rate? R1 Ry Rs (a) Number i Units (b) Number i Units Warrow_forwardDetermine Vc in the capacitor in the circuit under de conditions. * 6 H all 10 A 6Ω 2Ω VC 4 F 30V O 5V O 15V O 7.5Varrow_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_forwardf RR is the total resistance of two resistors, connected in parallel, with resistances R1R1 and R2R2, then 1R=1R1+1R21R=1R1+1R2. If the resistances are measured in Ohms as R1=25Ω,R2=42ΩR1=25Ω,R2=42Ω, with possible error of 1%1% in each case, estimate the maximum error in the calculated value of RR.arrow_forwardTwo cells of emfs E, = 1.5 V and E,= 2.0 V and inter- nal resistances r, = 1.0 Q and r2 = 1.5 N respectively are connected to an external resistor R = 2.5 2 as %3| %3D shown in Fig. 22.23. Find the potential difference (a) between points A and B (b) between points A and C (c) across R. E1 E2 А r2 E D ww R Fig. 22.23arrow_forward
- How long will it take a charged 80-uF capacitor to lose 30% of its initial energy when it is allowed to discharge through a 45-2 resistor?arrow_forward6 Res-monster maze. In Fig. 27-21, all the resistors have a resis- tance of 4.0 0 and all the (ideal) batteries have an emf of 4.0 V. What is the current through resistor R? (If you can find the proper loop through this maze, you can answer the question with a few seconds of mental calculation.) ww ww w- wwarrow_forwardProblem 37: Consider the following circuit of three resistors (R1, R2, and R3), with batteries that have emfs é - 19.5 V and & = 38.5 V, and internal resistances r and rz. 0.50 Randomized Variables R 2.50 & = 19.5 V 8 = 38.5 V R, 6.0 2 R 1.52 0.5A Otheexpertta.com Part (a) Find the current I1, in amps. Numeric :A numeric value is expected and not an expression. Part (b) Find the current I2, in amps. Numeric :A numeric value is expected and not an expression. Part (c) Find the current I3 in amps. Numeric :A numeric value is expected and not an expression.arrow_forward
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