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Ac Voltage Expression

Easyphysics

Instantaneous AC voltage form V = V0 sin(ω t) has rms value:

Select the correct option:

V0/2

V0/√2

V0 √2

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Subject: physics
Chapter: electromagnetic induction and ac
Topic: ac voltage expression
Difficulty: Easy
Year: 2025

Solution

Correct Answer:

V0/√2

The rms (root mean square) value is the effective value of AC that produces the same average heating effect as a DC voltage of that value. For a sinusoidal wave $V (t) = V_{0} sin (ω t)$ : $V_{r m s} = \frac{1}{T} \int_{0}^{T} V (t)^{2} d t$ $V_{r m s} = \frac{V _{0}}{2} \approx 0.707 V_{0}$ . Standard household voltage (e.g., $230 V$ ) is given as the rms value.

This easy difficulty physics question is from the chapter electromagnetic induction and ac, covering the topic of ac voltage expression. It appeared in the 2025 exam.

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Ac Voltage Expression

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