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If the rms current in a 50 Hz ac circui...

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

A

`5 sqrt(2) A `

B

`5 sqrt(3//2) A`

C

`5//6 A`

D

`5 // sqrt(2) A `

Text Solution

Verified by Experts

The correct Answer is:
B
Given , `v = 50 hz , I_(rms) = 5 A `
`t = (1)/(300) s`
We have to find I (t)
`I_(0) ` = Peak value `= sqrt(2) xx I_(rms) = sqrt(2) xx 5 = 5 sqrt(2 ) A `
`I = I_(0) sin omega t = 5 sqrt(2) sin 2 pi v t = 5 sqrt(2) 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
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