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 :

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

Answer

2 : 1 : 1

Answer

2 : 3 : 3

Answer

1 : 2 : 2

Answer

3 : 4 : 4

Electrostatics & Capacitance

Three capacitors C 1 = 2$\muF, C 2 = 6\muF and C 3 = 12\mu$F 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: