Question

An alternating electric current is represented by the equation \( i = 0.6 \sin 100 \pi t \). The frequency of the alternating current is:

• A. \( 50 \pi \)
• B. 50
• C. \( 100 \pi \)
• D. 100

Hint:

Frequency \( f \) is obtained by comparing angular frequency \(\omega\) to \(2\pi f\).

Answer 1

The Correct Option is B

The general form of AC current is \( i = I_0 \sin(2 \pi f t) \). Given: \( i = 0.6 \sin(100 \pi t) \), so \[ 2 \pi f = 100 \pi \implies f = \frac{100 \pi}{2 \pi} = 50 \text{ Hz}. \]