If the rms current in a 50 Hz ac circuit is 5 A, the value of the current `1//300` second after its value becomes zero is

Options

A. `5 sqrt(2) A`
B. `5 sqrt((3)/(2))A`
C. `(5)/(6) A`
D. `(5)/(sqrt(2))A`

Answer

2

Explanation

Here, `I_("rms") = 5 A, upsilon = 50 Hz, t = (1)/(300) s`
`I_(0) = sqrt(2) I_("rms") = 5 sqrt(2) A`.
From `I = I_(0) sin omega t = I_(0) sin 2 pi upsilon t`
`I = 5 sqrt(2) sin (2 pi xx 50 xx (1)/(300))`
`= 5 sqrt(2) "sin" (pi)/(3) = 5 sqrt(2) (sqrt(3))/(2) = 5 sqrt((3)/(2)) A`