Explanation Given data: The resistance of all the wires is same. Consider the resistance of each wire as R . Refer to the Figure Q22.10 in the textbook for five different dimension wires. From the Figure the dimensions of the wires are written as follows. Length of the wire 1 ( L 1 ) is L . Radius of the wire 1 ( r 1 ) is r . Length of the wire 2 ( L 2 ) is L . Radius of the wire 2 ( r 2 ) is 2 r . Length of the wire 3 ( L 3 ) is 2 L . Radius of the wire 3 ( r 3 ) is 2 r . Length of the wire 4 ( L 4 ) is 2 L . Radius of the wire 4 ( r 4 ) is r . Length of the wire 5 ( L 4 ) is 4 L . Radius of the wire 5 ( r 4 ) is 2 r . Formula used: Write the expression for resistance of a wire in terms of resistivity and dimensions. R = ρ L A (1) Here, ρ is the resistivity of wire, L is the length of the wire, and A is the cross-section area of the wire. Write the expression for cross-section area of the wire as follows. A = π r 2 (2) Here, r is the radius of the wire. Explanation: Rearrange the expression in equation (1) for the resistivity of the wire as follows. ρ = R A L From equation (2), substitute π r 2 for A , ρ = π r 2 R L (3) Calculation of resistivity of wire 1: Modify the expression in equation (3) to find the resistivity of wire 1 as follows. ρ 1 = π ( r 1 ) 2 R L 1 Substitute L for L 1 , and r for r 1 , ρ 1 = π ( r ) 2 R L = π r 2 R L Calculation of resistivity of wire 2: Modify the expression in equation (3) to find the resistivity of wire 2 as follows. ρ 2 = π ( r 2 ) 2 R L 2 Substitute L for L 2 , and 2 r for r 2 , ρ 2 = π ( 2 r ) 2 R L = 4 ( π r 2 R L ) Calculation of resistivity of wire 3: Modify the expression in equation (3) to find the resistivity of wire 3 as follows

College Physics: A Strategic Approach (4th Edition)

4th Edition

ISBN: 9780134704180

Author: Knight

Publisher: PEARSON

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Chapter 22, Problem 11CQ

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To rank: The resistivities of five different wires from the largest to the smallest.

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Chapter 22, Problem 10CQ

Chapter 22, Problem 12CQ

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Chapter 22 Solutions

College Physics: A Strategic Approach (4th Edition)

Ch. 22 - Prob. 2CQ Ch. 22 - Prob. 3CQ Ch. 22 - Prob. 4CQ Ch. 22 - All wires in Figure Q22.519 are made of the same...Ch. 22 - A wire carries a 4 A current. What is the current...Ch. 22 - Prob. 7CQ Ch. 22 - Cells in the nervous system have a potential...Ch. 22 - a. Which directionclockwise or...Ch. 22 - Prob. 10CQ Ch. 22 - Prob. 11CQ

Ch. 22 - The two circuits in Figure Q22.12 use identical...Ch. 22 - The two circuits in Figure Q22.13 use identical...Ch. 22 - Prob. 14CQ Ch. 22 - Rank in order, from largest to smallest, the...Ch. 22 - The circuit in Figure Q22.16 has three batteries...Ch. 22 - Prob. 17CQ Ch. 22 - Prob. 18CQ Ch. 22 - Over time, atoms boil off the hot filament in an...Ch. 22 - Prob. 20CQ Ch. 22 - A 100 W lightbulb is brighter than a 60 W...Ch. 22 - Lightbulbs are typically rated by their power...Ch. 22 - Lightbulbs are typically rated by their power...Ch. 22 - A copper wire is stretched so that its length...Ch. 22 - The potential difference across a length of wire...Ch. 22 - Prob. 26MCQ Ch. 22 - A resistor connected to a 3.0 V battery dissipates...Ch. 22 - If a 1.5 V battery stores 5.0 kJ of energy (a...Ch. 22 - Figure Q22.29 shows a side view of a wire of...Ch. 22 - A person gains weight by adding fatand therefore...Ch. 22 - Prob. 31MCQ Ch. 22 - The current in an electric hair dryer is 10 A. How...Ch. 22 - Prob. 2P Ch. 22 - Three wires meet at a junction. Wire 1 has a...Ch. 22 - When a nerve cell depolarizes, charge is...Ch. 22 - A wire carries a 15 A current. How many electrons...Ch. 22 - In a typical lightning strike, 2.5 C flows from...Ch. 22 - Prob. 7P Ch. 22 - In an ionic solution, 5.0 1015 positive ions with...Ch. 22 - Prob. 9P Ch. 22 - What are the values of currents IB and IC in...Ch. 22 - The currents through several segments of a wire...Ch. 22 - How much electric potential energy does 1.0 C of...Ch. 22 - What is the emf of a battery that increases the...Ch. 22 - A 9.0 V battery supplies a 2.5 mA current to a...Ch. 22 - Prob. 16P Ch. 22 - An electric catfish can generate a significant...Ch. 22 - A Wire with resistance R is connected to the...Ch. 22 - Wires 1 and 2 are made of the same metal. Wire 2...Ch. 22 - Prob. 20P Ch. 22 - Resistivity measurements on the leaves of corn...Ch. 22 - Prob. 22P Ch. 22 - A motorcyclist is making an electric vest that,...Ch. 22 - Prob. 24P Ch. 22 - A 3.0 V potential difference is applied between...Ch. 22 - Prob. 26P Ch. 22 - Prob. 27P Ch. 22 - Prob. 28P Ch. 22 - Figure P22.29 shows the...Ch. 22 - Figure P22.30 is a...Ch. 22 - In Example 22.6 the length of a 60 W, 240 ...Ch. 22 - The electric field inside a 30-cm-long copper wire...Ch. 22 - A copper wire is 1.0 mm in diameter and carries a...Ch. 22 - Two identical lightbulbs are connected in series...Ch. 22 - Prob. 35P Ch. 22 - a. What is the resistance of a 1500 W (120 V) hair...Ch. 22 - Prob. 37P Ch. 22 - A 70 W electric blanket runs at 18 V. a. What is...Ch. 22 - A 60-cm-long heating wire is connected to a 120 V...Ch. 22 - An electric eel develops a potential difference of...Ch. 22 - Prob. 41P Ch. 22 - A 3.0 V battery powers a flashlight bulb that has...Ch. 22 - A heating element in a toaster dissipates 900 W...Ch. 22 - Prob. 44GP Ch. 22 - Prob. 45GP Ch. 22 - The hot dog cooker described in the chapter heats...Ch. 22 - Air isnt a perfect electric insulator, but it has...Ch. 22 - The biochemistry that takes place inside cells...Ch. 22 - High-resolution measurements have shown that an...Ch. 22 - When an ion channel opens in a cell wall (see...Ch. 22 - The total charge a battery can supply is rated in...Ch. 22 - Prob. 52GP Ch. 22 - The heating element of a simple heater consists of...Ch. 22 - Variations in the resistivity of blood can give...Ch. 22 - A 40 W (120 V) lightbulb has a tungsten filament...Ch. 22 - Prob. 56GP Ch. 22 - When the starter motor on a car is engaged, there...Ch. 22 - Prob. 58GP Ch. 22 - The two segments of the wire in Figure P22.59 have...Ch. 22 - Prob. 60GP Ch. 22 - Prob. 61GP Ch. 22 - Prob. 62GP Ch. 22 - Prob. 63GP Ch. 22 - Prob. 64GP Ch. 22 - An immersion heater used to boil water for a...Ch. 22 - The graph in Figure P22.66 shows the current...Ch. 22 - Its possible to estimate the percentage of fat in...Ch. 22 - If you touch the two terminals of a power supply...Ch. 22 - The average resistivity of the human body (apart...Ch. 22 - MCAT-Style Passage Problems Lightbulb Failure...Ch. 22 - MCAT-Style Passage Problems Lightbulb Failure...Ch. 22 - MCAT-Style Passage Problems Lightbulb Failure...Ch. 22 - MCAT-Style Passage Problems Lightbulb Failure...

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