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In an ac circuit an alternating voltage ...

In an ac circuit an alternating voltage `e = 200 sqrt(2) sin 100t` volts is connected to a capacitor of capacity 1 `muF.` The rms.value of the current in the circuit is

A

20 mA

B

10 mA

C

100 mA

D

200 mA

Text Solution

Verified by Experts

The correct Answer is:
A

We have
`e = 200 sqrt2 sin 100 t , V _(0) = 200 sqrt2 V`
`C = 1 mu F`
`w = 100 rad //s`
`X _(C) = (1)/(w C) = (1)/(100 xx 10 ^(-6)) = 10 ^(4) Omega`
`I _(rms) = (V _(rms))/( X _(C)) = (200 sqrt2)/( sqrt2. 10 ^(4))`
`I _(rms) = 20 m A`
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