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Two equally charged identical metal spheres A and B repel each other with a force of 2.0 ×10–5 N. Another identical uncharged sphere C is made to touch A and then placed at the midpoint between A and B. What is the net force on C?
  • a)
    6 × 10-6 N along BC
  • b)
    5 × 10-4 N along BC
  • c)
    2 × 10-5 N along BC
  • d)
    3 × 10-2 N along BC
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Two equally charged identical metal spheres A and B repel each other ...
When sphere C touches A then charges on A = q/2 and on C = a/2.
Net force on C
Free Test
Community Answer
Two equally charged identical metal spheres A and B repel each other ...
Given Information:
- Sphere A and B are identical and equally charged.
- A and B repel each other with a force of 2.0 × 10^−5 N.
- Sphere C is uncharged.

Explanation:
- When sphere C is touched with sphere A, it acquires the same charge as A.
- Since C is placed at the midpoint between A and B, the electric field due to A and B cancels out at the position of C.
- The net force on C will be zero because the forces due to A and B cancel each other out.

Calculation:
- The force between A and C will be equal in magnitude but opposite in direction to the force between B and C.
- The force between A and C = 2.0 × 10^−5 N
- The force between B and C = 2.0 × 10^−5 N
- The net force on C = (2.0 × 10^−5 N) - (2.0 × 10^−5 N) = 0
Therefore, the net force on C is 0 N along BC.
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Two equally charged identical metal spheres A and B repel each other with a force of 2.0 ×10–5 N. Another identical uncharged sphere C is made to touch A and then placed at the midpoint between A and B. What is the net force on C?a)6 × 10-6 N along BCb)5 × 10-4 N along BCc)2 × 10-5 N along BCd)3 × 10-2 N along BCCorrect answer is option 'C'. Can you explain this answer?
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