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?
Answers
Step-by-step explanation:
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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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