Answer to Question #190407 in Electricity and Magnetism for Akash barani

Question

 The equation for an alternating current is given by i = 77 sin 314t. Find the peak current, 

frequency, time period and instantaneous value of current at t = 2 ms

Answer 1

Solution:-

Equation in general form

$i(t)=I_m \cdot Sin{(2 \pi f \cdot t)}$

Now,

Peak current $I_m=77A$

Frequency $f=\frac{314}{2\pi}=\frac{314}{2\cdot 3.14}=50 \frac{1}{s}$

Time period $T=\frac{1}{f}=\frac{1}{50}=0.02s$

Instantaneous value at t=2 ms.

$i(0.002)=77 \cdot Sin{(314 \cdot 0.002)}=45.24A$