Question

An a.c. current is given by i = 100 sin 100. It will achieve a value of 50 A after — second.​

Answer 1

Given:

Alternating current given as i = 100sin(100t).

To find:

Time required to reach a current value of 50 Amperes.

Calculation:

$i = 100 \sin(100t)$

Now, current of 50 amperes is achieved:

$\implies \: 50 = 100 \sin(100t)$

$\implies \: \dfrac{50}{100} = \sin(100t)$

$\implies \: \sin(100t) = \dfrac{1}{2}$

$\implies \: 100t = \dfrac{\pi}{6}$

$\implies \: t = \dfrac{\pi}{600} \: sec$

So, 50 amperes reached after π/600 seconds.