Question

The RMS value of a sinusoidal alternating current is

• A. \(0.637I_m\)
• B. \(0.707I_m\)
• C. \(1.414I_m\)
• D. \(I_m\)

Hint:

For sinusoidal AC, \(I_{\text{rms}}=\frac{I_m}{\sqrt2}=0.707I_m\).

Answer 1

The Correct Option is B

Concept: For sinusoidal alternating current: \[ i=I_m\sin\omega t \]

Step 1: RMS value is: \[ I_{\text{rms}}=\frac{I_m}{\sqrt2} \]

Step 2: Since: \[ \frac{1}{\sqrt2}=0.707 \] \[ I_{\text{rms}}=0.707I_m \] Therefore: \[ \boxed{0.707I_m} \]