Question

The form factor of a sinusoidal alternating current is

• A. \(1.11\)
• B. \(1.414\)
• C. \(0.707\)
• D. \(0.637\)

Hint:

For sinusoidal AC, form factor is \(1.11\) and peak factor is \(1.414\).

Answer 1

The Correct Option is A

Concept: Form factor is defined as: \[ \text{Form factor}=\frac{\text{RMS value}}{\text{Average value}} \]

Step 1: For sinusoidal AC: \[ I_{\text{rms}}=\frac{I_m}{\sqrt2}=0.707I_m \]

Step 2: Average value over half cycle: \[ I_{\text{avg}}=\frac{2I_m}{\pi}=0.637I_m \]

Step 3: Form factor: \[ \frac{0.707I_m}{0.637I_m} \] \[ =1.11 \] Therefore: \[ \boxed{1.11} \]