If the circuit voltage remains the same and resistance is halved, what happens to power according to P = V^2 / R?

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Prepare for the NCCER Introduction to Electrical Circuits exam. Utilize flashcards and multiple choice questions with hints and explanations to excel on your test.

Multiple Choice

If the circuit voltage remains the same and resistance is halved, what happens to power according to P = V^2 / R?

Explanation:
With the voltage fixed, power varies inversely with resistance. Using P = V^2 / R, halving the resistance makes the denominator half, so the power becomes P' = V^2 / (R/2) = 2V^2 / R = 2P. So the power doubles. This lines up with the idea that current I = V/R doubles when R is halved (for the same V), and since P = VI, the power doubles as well.

With the voltage fixed, power varies inversely with resistance. Using P = V^2 / R, halving the resistance makes the denominator half, so the power becomes P' = V^2 / (R/2) = 2V^2 / R = 2P. So the power doubles. This lines up with the idea that current I = V/R doubles when R is halved (for the same V), and since P = VI, the power doubles as well.

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