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A 50 Hz, AC source of 20 V is connected ...

A 50 Hz, AC source of 20 V is connected across R and C as shown in figure. The voltage across R is 12 V. the voltage across C is

A

8 V

B

16 V

C

10 V

D

not possible to determine unless values of R and C are given

Text Solution

Verified by Experts

The correct Answer is:
B
`v=50 Hz, V=20 V, V_(R)=12 V`
In case of RC circuit, `V=sqrt(V_(R)^(2)+V_(C)^(2))`
`rArr" "(20)^(2)=(12)^(2)+(V_(C))^(2)`
`rArr" "(V_(C))^(2)=400-144=256 rArr V_(C)=16 V.`
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