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 97P
SSM A group of N identical batteries of emf ℰ and internal resistance r may be connected all in series (Fig. 27-80a) or all in parallel (Fig. 27-80b) and then across a resistor R. Show that both arrangements give the same current in R if R = r.
Figure 27-80 Problem 97.
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103 In Fig. 27-83, E, = 6.00 V, E, =
12.0 V, R, = 200 N, and R, = 100 N.
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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.
6 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-
ww
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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- 97 SSM A group of N identical batteries of emf E and internal re- sistance r may be connected all in series (Fig. 27-80a) or all in par- allel (Fig. 27-806) and then across a resistor R. Show that both arrangements give the same current in Rif R = r. N batteries in series ..... (a) N batteries in parallel 3- (6)arrow_forward95 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_forwardIn Fig. 27-26, the ideal batterieshave emfs E1=150 V and E2=50 Vand the resistances are R1 = 3.0 0 andR2 = 2.0 0. If the potential at P is 100 V,what is it at Q?arrow_forward
- 35 (a) For the circuit shown in Fig. 20-27, let & = 10 V, R = 5.0 N, and C = 0.1 F. What is the current at b just after the switch is closed? (b) How much charge will have passed b by the time %3D %3D %3D the current goes to zero? (c) Find the current at the instant the capacitor has a charge of 0.20 C. 9. Soitch Sarrow_forward27-1. In Figure, the ideal batteries have emfs E,= 10.0 V and Ez = 0.500 E, , and the resistances are each 4.00 2. What is the current in (a) resistance 2 and (b) resistance 3? ww R +18, 8,arrow_forward80 In Fig. 27-73, R1 = 5.00 0, R2 = 10.0 0, R3= 15.0 n, C= 5.00 µF, |C = 10.0 µF, and the ideal battery R. %3D has emf & = 20.0 V.Assuming that the circuit is in the steady state, what is the total energy stored in the two R1 C2 capacitors?arrow_forward
- 71 In Fig. 27-69, R¡ = 20.0 N, R, 10.0 2, and the ideal battery has emf E = 120 V. What is the current at point a if we close (a) only switch S1, (b) only switches S, and S2, and (c) all three switches? S2 S3 a +18 RE RE R R1- + R1 R2 R2 Figure 27-69 Problem 71.arrow_forwardAdditional Problems 70 Go Each of the six real batteries in Fig. 27-68 has an emf of 20 V and a resistance of 4.0 n. (a) What is the current through the (external) resistance R = 4.0 0? (b) What is the potential difference across each battery? (c) What is the power of each battery? (d) At what rate does each battery transfer energy to internal thermal energy? Figure 27-68 Problem 70.arrow_forwardA capacitor of capacitance C= 10 µF is connected to a resistance R = 2 2 and a battery of emf E= 5 V of negligible internal resistance. After 20 µs of completing the circuit, find C HH R WW E (a) power delivered by the battery (b) power dissipated as heat (c) rate of energy stored in the capacitorarrow_forward
- *33 O In Fig. 27-44, the current in resistance 6 is i, = 1.40 A and the resistances are R1 = R2 = R3 = 2.00 N, R, = 16.0N, R3 = 8.00 N, and R, = 4.00 2. What is the emf of the ideal battery? R R2 Rs R6 Rg Figure 27-44 Problem 33.arrow_forward*62 Figure 27-64 shows the circuit of a flashing lamp, like those attached to barrels at highway construction sites. The fluorescent lamp L (of negligible capacitance) is connected in parallel across the capacitor C of an RC circuit. There is a current through the lamp only when the potential difference across it reaches the breakdown volt- Figure 27-64 Problem 62. age V1; then the capacitor discharges completely through the lamp and the lamp flashes briefly. For a lamp with breakdown voltage VL = 72.0 V, wired to a 95.0 V ideal battery and a 0.150 µF capacitor, what resistance Ris needed for two flashes per second?arrow_forward*33 O In Fig. 27-44, the current in resistance 6 is i, = 1.40 A and the resistances are R1 = R2 = R3 = 2.00 N, R, = 16.0N, R3 = 8.00 N, and R, = 4.00 2. What is the emf of the ideal battery? %3D R R2 R4 16 R6 Figure 27-44 Problem 33.arrow_forward
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