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Two capacitors C(1) and C(2) are connect...

Two capacitors `C_(1)` and `C_(2)` are connected in a circuit as shown in figure. The potential difference `(V_(A) - V_(B))` is

A

`8 V`

B

`-8 V`

C

`12 V`

D

`12 V`

Text Solution

Verified by Experts

The correct Answer is:
B
Consider the diagram below going through the path shown
`12 - V_(A) + V_(B) - 24 +V_(D) - V_(C) = 0`
`rArr V_(A) - V_(B) = 12 + V_(D) - V_(C) -24 = -12 + ((Q)/(4muF))`

`rArr (-Q)/(2muF) = -12 + (Q)/(4muF) rArr Q[(1)/(2) + (1)/(4)] = 12muC`
`rArr Q = (12xx8)/(6)muC = 16muC`
`V_(A) - V_(B) = (-Q)/(C_(1)) = (-16muC)/(2muF) = -8V`
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