Given i
2 sin(377t  60°), compute the current at t
3 ms

To compute the current at t = 3 ms, we need to substitute t = 3 ms into the given equation.

The equation is i = 2 sin(377t - 60°).

First, convert 3 ms to seconds because the frequency in the equation is in terms of seconds. So, t = 3 ms = 0.003 s.

Now, substitute t = 0.003 s into the equation:

i = 2 sin(377 * 0.003 - 60°)

Now, calculate the value inside the sine function:

= 2 sin(1.131 - 60°)

Now, convert 60 degrees to radians because the sine function in most calculators uses radians. 60 degrees is approximately 1.0472 radians.

So, the equation becomes:

= 2 sin(1.131 - 1.0472)

Now, calculate the value inside the sine function:

= 2 sin(0.0838)

Finally, calculate the sine of 0.0838 and multiply by 2:

i ≈ 2 * 0.0836

i ≈ 0.1672 A

So, the current at t = 3 ms is approximately 0.1672 A.