Question 270: Electrostatics & Capacitance

Question

Three capacitors C
1
= 2$\mu$F, C
2
= 6$\mu$F and C
3
= 12$\mu$F are connected as shown in figure. Find the ratio of the charges on capacitors C
1
, C
2
and C
3
respectively :
![](https://imagex.cdn.examgoal.net/1ktqsdhxg/69ebad96-adfe-4613-ae82-fe45ab452ef8/722cdc40-190b-11ec-9e1c-4f8f7e7dad5b/file-1ktqsdhxh.jpeg)

Accepted Answer

(V
D
$-$ V) C
2
+ (V
D
$-$ 0) C
3
= 0
(V
D
$-$ V) 6 + (V
D
$-$ 0) 12 = 0
V
D
$-$ V + 2V
D
= 0
V
D
= ${V \over 3}$
q
2
= (V $-$ V
D
) C
2
= $\left( {V - {V \over 3}} ight)$ (6 $\mu$F)
q
2
= (4V) $\mu$F
q
3
= (V
D
$-$ 0) C
3
= ${{V \over 3}}$ $	imes$ 12$\mu$F = 4V$\mu$F
q
1
= (V $-$ 0) C
1
= V(2$\mu$F)
q
1
: q
2
: q
3
= 2 : 4 : 4
q
1
: q
2
: q
3
= 1 : 2 : 2
![](https://imagex.cdn.examgoal.net/1ktqse5v9/55e17add-0fe5-4e34-8eb5-c7aa7a41dd66/84aae650-190b-11ec-9e1c-4f8f7e7dad5b/file-1ktqse5va.png)

Answer

2 : 1 : 1

Answer

2 : 3 : 3

Answer

1 : 2 : 2

Answer

3 : 4 : 4

Electrostatics & Capacitance

Three capacitors C 1 = 2\muF, C 2 = 6\muF and C 3 = 12\muF are connected as shown in figure. Find the ratio of the charges on capacitors C 1 , C 2 and C 3 respectively :

Choose the correct answer: