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 90P
(a) In Fig. 27-4a, show that the rate at which energy is dissipated in R as thermal energy is a maximum when R = r. (b) Show that this maximum power is P = ℰ2/4r.
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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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