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Two capacitrors of 2 muF and 4 muF are c...

Two capacitrors of `2 muF and 4 muF` are connected in parallel. A third capacitor of `6 muF` is connected in series. The combaination is connected across a 12 V battery. The voltage across `2 mu F` capacitor is

A

2 V

B

8 V

C

6 V

D

1 V

Text Solution

Verified by Experts

The correct Answer is:
C
`C_(p) = 2 + 4 = 6 muF`
` (1)/(C) = (1)/(6) +(1)/(6) +(1)/(6) = (2)/(3) =(1)/(3) or C = 3 muF`
Total `Q = CV = 3xx 12 = 36 muF`
Voltage across `6 muF` capactior ` = (36 muC)/(6 muF) = 6V`
`therefore ` Voltage across each of `2 muF` and `4 muF` capacitors
= 12 V - 6V
V = 6V
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