Which equation expresses power in terms of current and resistance?

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Multiple Choice

Which equation expresses power in terms of current and resistance?

Explanation:
Power can be expressed in terms of current and resistance by combining the definitions of power and Ohm’s law. Start with the basic definition P = IV. Then use Ohm’s law V = IR to replace voltage with current times resistance. Substituting gives P = I(IR) = I^2 R. This form uses only current and resistance, giving the correct units for power (watts) because A^2·Ω = W. For example, if a current of 2 A flows through a 3 Ω resistor, the power dissipated is 2^2 × 3 = 12 W. Other forms like P = IV or P = V^2/R involve voltage, not solely current and resistance, and P = IR is not a valid expression for power.

Power can be expressed in terms of current and resistance by combining the definitions of power and Ohm’s law. Start with the basic definition P = IV. Then use Ohm’s law V = IR to replace voltage with current times resistance. Substituting gives P = I(IR) = I^2 R. This form uses only current and resistance, giving the correct units for power (watts) because A^2·Ω = W. For example, if a current of 2 A flows through a 3 Ω resistor, the power dissipated is 2^2 × 3 = 12 W. Other forms like P = IV or P = V^2/R involve voltage, not solely current and resistance, and P = IR is not a valid expression for power.

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