Question:
The equation of an alternating current is \(14\sin(1256t)\), determine the frequency.
The equation of an alternating current is \(14\sin(1256t)\), determine the frequency.
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To find the frequency from the angular frequency, use the formula \( f = \frac{\omega}{2\pi} \).
Updated On: Apr 21, 2025
- 100 Hz
- 50 Hz
- 150 Hz
- 200 Hz
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The Correct Option is D
Solution and Explanation
The equation of the alternating current is in the form \( A\sin(\omega t) \), where \( \omega = 2\pi f \) is the angular frequency. Given \( \omega = 1256 \), we can calculate the frequency \( f \) as:
\[
f = \frac{\omega}{2\pi} = \frac{1256}{2\pi} \approx 200 \, \text{Hz}
\]
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