Explanation Given data: A battery and a resistor are wired into a circuit. The power dissipated by the original resistor ( P original ) is 4.0 W. It is required to find the power dissipated by the new resistor. The resistance of the new resistor is twice resistance of the original resistor. From the given data, the potential difference across the resistor does not change with the replace of the resistor but the magnitude of the current varies with the replacement of the resistor. That is, potential difference is same in both the cases. Consider the potential difference of battery as Δ V . Consider the resistance of the original resistor as R . Then the resistance of the new resistor becomes 2 R . R original = R R new = 2 R Formula used: Write the expression for power dissipated by the resistor as follows. P = ( Δ V ) 2 R (1) Here, Δ V is the potential difference of the battery, and R is the resistance of the resistor. Explanation: Calculation of power dissipated by the new resistor ( P new ) : Modify the expression in equation (1) for the power dissipated by the original resistor as follows. P original = ( Δ V ) 2 R original Substitute 4.0 W for P original , and R for R original , 4

College Physics: A Strategic Approach (4th Edition)

4th Edition

ISBN: 9780134609034

Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field

Publisher: PEARSON

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Question

Chapter 22, Problem 18CQ

To determine

To find: The power dissipated by the new resistor.

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Chapter 22, Problem 17CQ

Chapter 22, Problem 19CQ

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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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