Which formula expresses power using voltage and resistance?

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Multiple Choice

Which formula expresses power using voltage and resistance?

Explanation:
Power in a resistor can be written in several equivalent ways. When you know the voltage across the component and its resistance, the appropriate expression is P = V^2 / R. This comes from Ohm’s law V = IR and the power relation P = I^2 R. Substituting I = V/R into P = I^2 R gives P = (V/R)^2 × R = V^2 / R, which uses voltage and resistance directly. The form P = I^2 R uses current and resistance, and P = V I uses voltage and current; neither expresses power with both voltage and resistance. Since R × I would yield a voltage, not power, it doesn’t describe power.

Power in a resistor can be written in several equivalent ways. When you know the voltage across the component and its resistance, the appropriate expression is P = V^2 / R. This comes from Ohm’s law V = IR and the power relation P = I^2 R. Substituting I = V/R into P = I^2 R gives P = (V/R)^2 × R = V^2 / R, which uses voltage and resistance directly. The form P = I^2 R uses current and resistance, and P = V I uses voltage and current; neither expresses power with both voltage and resistance. Since R × I would yield a voltage, not power, it doesn’t describe power.

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