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A resistance of 20ohms is connected to a...

A resistance of `20ohms` is connected to a source of an alternating potential `V=220sin(100pit)`. The time taken by the current to change from its peak value to r.m.s. value is

A

0.2 sec

B

0.25 sec

C

`25 xx 10 ^(-3)sec`

D

`2.5 xx 10 ^(-3) ` sec

Text Solution

Verified by Experts

The correct Answer is:
D
`i = (V)/(R) = (220)/(20) sin (100 pi t)`
`rArr (11)/(sqrt(2)) = 11 sin (100 pi t)`
`rArr pi t = (pi)/(4) rArr t = (1)/(400) sec = 25 xx 10 ^(-3) sec`
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