Explanation Given data: Refer to Figure Q22.10 in the textbook for the dimensions of five different 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 material in terms of resistivity and dimensions. R = ρ L A (1) Here, ρ is the resistivity of material, L is the length of the material, and A is the cross-section area of the material. Write the expression for cross-section area of the material as follows. A = π r 2 (2) Here, r is the radius of the material. Explanation: The resistivity of the wire depends on the type of the material that used for its manufacturing. As all five wires are made up of same material, the value of resistivity is same for all wires. From equation (2), substitute π r 2 for A in equation (1), R = ρ L π r 2 (3) Calculation of resistance of wire 1: Modify the expression in equation (3) to find the resistance of wire 1 as follows. R 1 = ρ L 1 π ( r 1 ) 2 Substitute L for L 1 , and r for r 1 , R 1 = ρ L π ( r ) 2 = ρ L π r 2 Calculation of resistance of wire 2: Modify the expression in equation (3) to find the resistance of wire 2 as follows. R 2 = ρ L 2 π ( r 2 ) 2 Substitute L for L 2 , and 2 r for r 2 , R 2 = ρ L π ( 2 r ) 2 = 1 4 ( ρ L π r 2 ) = 0

4th Edition

ISBN: 8220106755235

Author: Field

Publisher: PEARSON

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Question

Chapter 22, Problem 10CQ

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

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Chapter 22, Problem 9CQ

Chapter 22, Problem 11CQ

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Chapter 22 Solutions

EBK COLLEGE PHYSICS

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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