Question

8. 8. The equation of an alternating current is I = 50 sin 200 πt. What is the frequency of alternating

current ?
​

Answer 1

Equation of alternating current is :

$\sf \: l = 50 sin(200\pi t) - - - - - (1)$

General equation of AC current is,

$\sf l = l_osin( \omega t - kx) - - - - - (2)$

Comparing equations (1) and (2), we can deduce that :

$\longrightarrow \sf \omega = 200 \pi\\ \\ \longrightarrow \sf \: 2\pi \times \nu = 200\pi \\ \\ \longrightarrow \sf \: \nu = \dfrac{200\pi}{2\pi} \\ \\ \longrightarrow \boxed{ \boxed{\sf \: \nu = 100 \ Hz}}$

Frequency of the alternating current is 100Hz.