A voltage ΔV is applied to a series configuration of n resistors,each of resistance R. The circuit components are reconnectedin a parallel configuration, and voltage ΔV is againapplied. Show that the power consumed by the series configurationis 1/n2 times the power consumed by the parallelconfiguration.

University Physics Volume 2
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Chapter10: Direct-current Circuits
Section: Chapter Questions
Problem 52P: A 2.00- and a 7.50F capacitor can be connected in series or parallel, as can a 25.0- and a 100k...
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A voltage ΔV is applied to a series configuration of n resistors,
each of resistance R. The circuit components are reconnected
in a parallel configuration, and voltage ΔV 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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