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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:
2
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`
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Knowledge Check

  • If the rms current in a 50 Hz a.c. circuit is 5 A, the value of the currents 1/300 s after its value becomes zero is

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