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Three capacitors C1 = 3muF, C2 = 6muF an...

Three capacitors `C_1 = 3muF, C_2 = 6muF and C_3 = 10muF` are connected to a 50 V battery as shown in the figure below:

Calculate :
The equivalent capacitance of the circuit between points A and B.

A

`12muF, 150muC`

B

`4.75 muF, 100muC`

C

`12muF, 100muC`

D

`4.75muF, 150muC`

Text Solution

Verified by Experts

The correct Answer is:
C
`C_(1) and C_(2)` are connected in series
`C_(s) =(C_(1)C_(2))/(C_(1)+C_(2))= (3muF.6muF)/( 9muF) = 2muF`
`C_(s)` and `C_(3)` are connected in parallel
`:. C_(p) =C_(s) +C_(3) = 2muF +10muF =12 muF`
The charge Q on `C_(s) = C_(s)V`
`=2muF.50V =100muC`
The charge on `C_(1)` is 100muC`
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