The instantaneous value of an alternating current is given by `i=50 sin(100 pit)`. It will achieve a value of 25 A after a time interval of

Options

A. a. `1/300 sec`
B. b. `1/600 sec`
C. c. `1/1200 sec`
D. d. `1/500 sec`

Answer

D

Explanation

`i=50 sin (100 pi t)`
`:. 25 = 50 sin (100 pi t)`
`1/2 = sin (pi)/6 = sin (100 pi t)`
`:. 100 pi t = (pi)/6 :. T = 1/600 s`.