Question

An ac generator produced an output voltage $E=170\sin 377t$ volts, where $t$ is in seconds. The frequency of ac voltage is

• A. $50Hz$
• B. $110Hz$
• C. $60Hz$
• D. $230Hz$

Answer 1

The correct option is C $60Hz$

An ac generator produced an output voltage,

$E=170\sin 377$ volts, where $t$ is in seconds.

Compare this with standard equation of voltage ,$E=E_0\sin \omega t$

So, $E_0=170$ and $\omega =377$

We know,

Frequency=angular frequency /$2\pi$

e.g., frequency $=\frac{\omega }{2\pi }$

$\begin{array}{c}=\frac{377}{\left(2\times 3.14\right)}\\ =\frac{377}{6.28}\\ =60.0318\approx 60Hz\end{array}$

Hence,

The frequency of ac voltage is $60HZ$