Home
Class 12
PHYSICS
Two metallic spheres of radii 1 cm and 2...

Two metallic spheres of radii `1 cm` and `2 cm` are given charges `10^(-2) C` and `5 xx 10^(-2) C` respectively. If they are connected by a conducting wire, the final charge on the smaller sphere is

A

`3 xx10^(-2)C`

B

`1 xx10^(-2)C`

C

`4 xx10^(-2)C`

D

`2 xx10^(-2)C`

Text Solution

Verified by Experts

The correct Answer is:
D
`V_1=V_2implies(KQ_1)/(r_1)=(KQ_2)/(r_2)implies Q_1/Q_2=r_1/r_2`
Total charge of the system `Q= 6 xx10^(-2)C`
Final charge on small sphere –
`Q_1=(r_1/(r_1+r_2))Q`
`Q_1 =(1/(1+2))xx6 xx10^(-2)=2 xx10^(-2)C`
Promotional Banner

Similar Questions

Explore conceptually related problems

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

Two metallic sphere of radii 1 cm and 3 cm are given charges of 4xx10^(-2)C and respectively. If these are connected by a counducting wire, the final charge on the bigger sphere is

Two metal spheres of radii 0.01 m and 0.02 m are given a charge of 15 mC and 45 mC, respectively. They are then connected by a wire. The final charge on the first is …xx10^(-3) C .

Two spheres of radii 1 cm and 2 cm have been charged with 1.5 xx 10^(-8) and 0.3 xx 10^(-7) coulomb of posiitve charge. When they are connected with a wire, charge :

Two conducting spheres of radii 5 cm and 10 cm are given a charge of 15mu F each. After the two spheres are joined by a conducting wire, the charge on the smaller sphere is

Two insulated metal spheres of raddi 10 cm and 15 cm charged to a potential of 150 V and 100 V respectively, are connected by means of a metallic wire. What is the charge on the first sphere?

Figure shows two conducting spheres separated by large distance and of radius 2 cm and 3 cm containing charges 10 muC and 20 muC respectively. When the spheres are connected by a conducting wire then find out following : (i) Ratio of the final charge. (ii) Final charge on each sphere. (iii) Ratio of final charge densities. (iv) Heat produced during the process.