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Is electric power(P)directly proportional or inversely proportional to the Resistance(R) of a circuit?

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Is electric power(P)directly proportional or inversely proportional to the Resistance(R) of a circuit?

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In those power equations involving resistance, we normally treat resistance as the constant, so P is directly proportional to I^2 or to V^2 where I and V are the variables. However you are making resistance the variable, so you have to make I and V the constants of proportionality. So yes, if you hold I constant, P is directly proportional to R but if you hold V constant, P is inversely proportional to R These are both consistent with Ohm’s Law.

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