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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, `underset(rms)(I)` = 5 A
`t = 1/300` s
We have to find I(t)
`underset(o)(I)` = Peak value = `sqrt 2underset(rms)(I)` = `sqrt 2 xx 5`
= `5sqrt 2` A
I = `underset(o)(I) sin omegat = 5sqrt 2sin 2pivt = 5sqrt 2sin 2pivt = 5sqrt 2sin 2pi xx 50 xx 1/300`
`5sqrt 2 sin pi/3` = `5sqrt 2 xx sqrt 3 / 2` = `5sqrt 3/2` A
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