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

2nd Edition

ISBN: 9781323390719

Author: Knight

Publisher: PEARSON C

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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

Chapter 22 Solutions

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