Question 752: Electrostatics & Capacitance

Question

Two metallic spheres of radii 1 cm and 3 cm are given charges of $$-$$1 $$ 	imes $$ 10
$$-$$2
C and 5 $$ 	imes $$  10
$$-$$2
C, respectively. If these are connected by a conducting wire, the final charge on the bigger sphere is

Accepted Answer

At equilibrium potential of both sphere becomes same if charge of sphere one x and other sphere Q Ã¢ÂÂ x
then where  Q = 4 ÃÂ 10
Ã¢ÂÂ2
C
v
1
= v
2
$${{kx} \over {1\,cm}} = {{k\left( {Q - x} ight)} \over {3\,cm}}$$
3x = Q Ã¢ÂÂ x   $$ \Rightarrow $$   4x = Q
$$x = {Q \over 4} = {{4 	imes {{10}^{ - 2}}} \over 4}C = 1 	imes {10^{ - 2}}$$
Q' = Q Ã¢ÂÂ x = 3 ÃÂ 10
Ã¢ÂÂ2
C

Answer

2 $$ 	imes $$ 10
$$-$$2
C

Answer

3 $$ 	imes $$ 10
$$-$$2
C

Answer

4 $$ 	imes $$ 10
$$-$$2
C

Answer

1 $$ 	imes $$ 10
$$-$$2
C

Electrostatics & Capacitance

Two metallic spheres of radii 1 cm and 3 cm are given charges of $-1 \times 10 -2 C and 5 \times 10 -$2 C, respectively. If these are connected by a conducting wire, the final charge on the bigger sphere is

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