An a.c. current is given by i = 100 sin 100. It will achieve a value o

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