Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Textbook Question
Chapter 27, Problem 102P
The following table gives the electric potential difference VTacross the terminals of a battery as a function of current i being drawn from the battery, (a) Write an equation that represents the relationship between VT and i. Enter the data into your graphing calculator and perform a linear regression fit of VT versus i. From the parameters of the fit, find (b) the battery's emf and (c) its internal resistance.
| i(A): | 50.0 | 75.0 | 100 | 125 | 150 | 175 | 200 |
| VT(V): | 10.7 | 9.00 | 7.70 | 6.00 | 4.80 | 3.00 | 1.70 |
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The following table gives the electric potential difference VT across the terminals of a battery as a function of current i being drawn from the battery. (a) Write an equation that represents the relationship between VT and i. Enter the data into your graphing calculator and perform a linear regression fit of VT versus i. From the parameters of the fit, find (b) the battery’s emf and (c) its internal resistance. i(A): 50.0 75.0 100 125 150 175 200 VT(V): 10.7 9.00 7.70 6.00 4.80 3.00 1.70
Given two batteries: one with voltage Vand internal resistance r1; another with also voltage Vand internal resistance r2. Which of the
following is true if we connect them in parallel the positive terminal of one connected to the negative of the other?
O The answer cannot be found on the other choices.
The total voltage will be V, while the total internal resistance is (r1-1 + r21)1.
No voltage will remain, while the total internal resistance is (rıi
-1
+
r2
O The total voltage will be 2V, while the total internal resistance is (r11 + r2)1.
Given two batteries: one with voltage V and internal resistance r₁; another with also voltage V and internal resistance r2. Which of the
following is true if we connect them in parallel the positive terminal of one connected to the negative of the other?
O The total voltage will be V, while the total internal resistance is (₁−1 + √2-1)-1.
O The answer cannot be found on the other choices.
The total voltage will be 2V, while the total internal resistance is (r₁-1 + r₂-1)-1.
No voltage will remain, while the total internal resistance is (r₁-1 + √₂-1)-1.
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...
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