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A and B are two identical spherical charged bodies which repel each other with force F, kept at a finite distance. A third uncharged sphere of the same size is brought in contact with sphere B and removed. It is then kept at mid-point of A and B. Find the magnitude of force on C.
  • a)
    F/2
  • b)
    F/8
  • c)
    F
  • d)
    Zero
Correct answer is 'C'. Can you explain this answer?
Most Upvoted Answer
A and B are two identical spherical charged bodies which repel each ot...
Solution:

Given: Two identical spherical charged bodies A and B which repel each other with force F, kept at a finite distance.

When an uncharged sphere C is brought in contact with sphere B, it will acquire some charge by induction. Due to the repulsion between the two positively charged spheres A and B, they will have less charge on them as compared to their original charge. Therefore, the charge on sphere C will be greater than the charge on spheres A and B.

Now, when sphere C is brought at the mid-point of A and B, it will experience forces from both A and B. Since sphere A and B have less charge on them, the force on sphere C due to A and B will be less than F.

Therefore, the net force on sphere C will be zero as the forces due to A and B will cancel out each other.

Hence, the correct answer is option (c) Zero.
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Community Answer
A and B are two identical spherical charged bodies which repel each ot...
After contact charge on b and c are q/2
let chard on A be +q and B have-a
net force on c
due to A =4kqq/2r*2 =2f
due to B =4kqq/4r*2=f
net =2f-f =f
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A and B are two identical spherical charged bodies which repel each other with force F, kept at a finite distance. A third uncharged sphere of the same size is brought in contact with sphere B and removed. It is then kept at mid-point of A and B. Find the magnitude of force on C.a)F/2b)F/8c)Fd)ZeroCorrect answer is 'C'. Can you explain this answer?
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