In an AC circuit with a given RMS voltage of 230 V and resistance of 23 Ω, what is I_rms?

• A. 5 A
• B. 10 A
• C. 23 A
• D. 230 A

Answer: (B)

In a resistive AC circuit, current follows Ohm’s law using RMS values: I_rms = V_rms / R. With a voltage of 230 V and a resistance of 23 Ω, the current is 230 / 23 = 10 A. That’s the correct result because it directly uses the RMS quantities given.

The other numbers would require different resistances: 5 A would need 230 V / 46 Ω, 23 A would need 230 V / 10 Ω, and 230 A would need 230 V / 1 Ω. Since the problem uses RMS values, the 10 A answer is the appropriate one.