In an AC circuit with a constant resistance, how is RMS current related to RMS voltage and resistance?

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Study for the Ontario Power Generation (OPG) Orange 1 Test. Ace your exam with multiple choice questions and detailed explanations. Prepare confidently!

Multiple Choice

In an AC circuit with a constant resistance, how is RMS current related to RMS voltage and resistance?

Explanation:
Ohm's law for a resistor in AC uses RMS values the same way as with DC: the RMS voltage across the resistor equals the RMS current through it times the resistance. To find the current in terms of voltage and resistance, rearrange this relationship to I_rms = V_rms / R. This reflects the intuitive idea that for a fixed resistance, higher voltage pushes more current. For a quick check, if V_rms is 120 V and R is 30 Ω, I_rms is 4 A. The other forms either give the voltage in terms of current or mix units in ways that don’t yield current in amps, so they don’t describe the current correctly.

Ohm's law for a resistor in AC uses RMS values the same way as with DC: the RMS voltage across the resistor equals the RMS current through it times the resistance. To find the current in terms of voltage and resistance, rearrange this relationship to I_rms = V_rms / R. This reflects the intuitive idea that for a fixed resistance, higher voltage pushes more current. For a quick check, if V_rms is 120 V and R is 30 Ω, I_rms is 4 A. The other forms either give the voltage in terms of current or mix units in ways that don’t yield current in amps, so they don’t describe the current correctly.

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