Which expression gives electrical power in terms of current and resistance?

Get ready for the NCCER Introduction to Electrical Circuits exam. Study with multiple choice questions, each question comes with hints and explanations. Ace your exam with confidence!

Multiple Choice

Which expression gives electrical power in terms of current and resistance?

Explanation:
Power is the rate at which energy is converted in a circuit. When current flows through a resistor, the voltage across that resistor is V = IR. The power delivered to the resistor is P = V × I. Substituting V with IR gives P = I × (IR) = I^2 × R, which uses only current and resistance. This matches the requirement to express power in terms of current and resistance. The other common forms, like P = V × I or P = V^2 / R, involve voltage and aren’t written solely with current and resistance. An incorrect-looking form like P = V × R doesn’t yield correct power units, so it’s not valid.

Power is the rate at which energy is converted in a circuit. When current flows through a resistor, the voltage across that resistor is V = IR. The power delivered to the resistor is P = V × I. Substituting V with IR gives P = I × (IR) = I^2 × R, which uses only current and resistance. This matches the requirement to express power in terms of current and resistance. The other common forms, like P = V × I or P = V^2 / R, involve voltage and aren’t written solely with current and resistance. An incorrect-looking form like P = V × R doesn’t yield correct power units, so it’s not valid.

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