Which formula expresses power in terms of voltage and 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 in terms of voltage and resistance?

Explanation:
Power is the product of voltage and current, P = V I. To express this using voltage and resistance, replace current with V divided by R from Ohm’s law (V = I R), so I = V / R. Substituting into the power formula gives P = V (V / R) = V^2 / R. This is the form that uses voltage and resistance directly, and it checks out dimensionally as watts (volt squared per ohm). The other common expressions involve current (I^2 R or V I) and don’t meet the requirement of using voltage and resistance alone.

Power is the product of voltage and current, P = V I. To express this using voltage and resistance, replace current with V divided by R from Ohm’s law (V = I R), so I = V / R. Substituting into the power formula gives P = V (V / R) = V^2 / R. This is the form that uses voltage and resistance directly, and it checks out dimensionally as watts (volt squared per ohm). The other common expressions involve current (I^2 R or V I) and don’t meet the requirement of using voltage and resistance alone.

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