A voltage ?V is applied to a series configuration of n resistors, each of resistance R. The circuit components are reconnected in a parallel configuration, and voltage ?V is again applied. Show that the power consumed by the series configuration is 1/n2 times the power consumed by the parallel configuration.

College Physics
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ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:Paul Peter Urone, Roger Hinrichs
Chapter20: Electric Current, Resistance, And Ohm's Law
Section: Chapter Questions
Problem 14CQ: The power dissipated in a resistor is given by P = V2/R, which means power decreases if resistance...
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A voltage ?V is applied to a series configuration of n resistors, each of resistance R. The circuit components are reconnected in a parallel configuration, and voltage ?V is again applied. Show that the power consumed by the series configuration is 1/n2 times the power consumed by the parallel configuration.

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