Question

Two identical conducting spheres are charged by induction and then

separated by a large distance; sphere-1 has charge +Q and sphere-2 has charge

–Q. A third sphere is initially uncharged. If sphere-3 is touched to sphere-1 and

separated and then touched to sphere-2 and separated, what is the final charge

on each of the three spheres?

​

Answer 1

Given : sphere-1 has charge +Q and sphere-2 has charge  –Q. A third sphere is initially uncharged. If sphere-3 is touched to sphere-1 and  

separated and then touched to sphere-2 and separated,

To find : final charge  on each of the three spheres

Solution:

Sphere 1  Charge  = Q

Sphere 2 Charge = - Q

Sphere 3 Charge =   0  

sphere-3 is touched to sphere 1

=> Sphere 1 & Sphere 3 Charges = (Q + 0)/2  = Q/2

Sphere 1  Charge  = Q/2

Sphere 2 Charge = - Q

Sphere 3 Charge =   Q/2

sphere-3 is touched to sphere 2

=>  Sphere 2 & Sphere 3 Charges = (-Q + Q/2)/2  = -Q/4

Final Charges on Sphere :

Sphere 1  Charge  = Q/2

Sphere 2 Charge = - Q/4

Sphere 3 Charge =   -Q/4

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