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If a capacitor of 8 mu F is connected to...

If a capacitor of `8 mu F` is connected to a 220 V, 100 Hz ac source and the current passing through it is 65 mA, then the rms voltage across it is

A

`129.4 V`

B

`12.94 V`

C

`1.294 V`

D

15 V

Text Solution

Verified by Experts

The correct Answer is:
B
Here, `V_("rms")=220 V,I_("rms")=65 mA = 0.065 A`
`C = 8 mu F = 8xx10^(-6)F, upsilon = 100 Hz`
Capacitive reactance,
`X_(C )=(1)/(2pi upsilon C)=(1)/(2xx3.14xx100xx8xx10^(-6))=199 Omega`
Then rms voltage across the capacitor is
`V_("Crms")=I_("rms")X_(C )=0.065xx199=12.94 V`
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