Which formula expresses power as voltage squared divided by resistance?

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Study for the Mechatronics End-of-Pathway (EOP) Test. Explore flashcards and multiple-choice questions, each with hints and explanations. Prepare confidently for your exam!

Multiple Choice

Which formula expresses power as voltage squared divided by resistance?

Explanation:
Power in a circuit can be written in several equivalent ways, and the form that uses voltage and resistance comes from combining P = VI with Ohm’s law V = IR. If you substitute I with V/R in P = VI, you get P = V*(V/R) = V^2 / R. This checks out in units too, since V^2 per ohm simplifies to watts. You can arrive at other valid forms as well—for example, using P = VI with V = IR gives P = I^2R. But when you know voltage and resistance, expressing power as V^2 over R is the direct way to link voltage to power through the resistance.

Power in a circuit can be written in several equivalent ways, and the form that uses voltage and resistance comes from combining P = VI with Ohm’s law V = IR. If you substitute I with V/R in P = VI, you get P = V*(V/R) = V^2 / R. This checks out in units too, since V^2 per ohm simplifies to watts.

You can arrive at other valid forms as well—for example, using P = VI with V = IR gives P = I^2R. But when you know voltage and resistance, expressing power as V^2 over R is the direct way to link voltage to power through the resistance.

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