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

b

Explanation

(b) rms value of current , `I_(rms) = ` 5A
frequency of source , f = 50 Hz
peak value of current , `I_(0)= sqrt(2) xx I_(rms) = sqrt(2) xx 5 ` A
Instantaneous value of current is given by
`I = I_(0) `sin 2 `pi`ft
here, t = `(1)/(300)`s
`therefore I = sqrt(2) xx 5 sin (2 pi xx 50 xx (1)/(300) ) `
= ` 5 sqrt(2) sin (pi)/(3) = 5 sqrt(2) xx (sqrt(3))/(2) = 5 sqrt((3))/(2) )` A