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two spherical conductors B &C having equal radii and carrying equal charges with them repel eachother with a force F when kept at a small distance apart . a third spherical conductor A having same charge as that of B but uncharged is brought in contact with B and then with C and finally removed away from both . what is the new force of repulsion between B & C ?

  1. two spherical conductors B &C having equal radii and carrying equal charges with them repel eachother with a force F when kept at a small distance apart . a third spherical conductor A having same charge as that of B but uncharged is brought in contact with B and then with C and finally removed away from both . what is the new force of repulsion between B & C ?

Grade:12th pass

1 Answers

Arun
25757 Points
2 years ago
Let B and C have charge Q each initially and are seperated by r distance.
∴ Coulomb force between them, F= 
r 
2
 
KQ 
2
 
​ 
  ...........(1)
Now an identical uncharged spherical conductor A is brought in contact with B. They will share equal charge among themselves.
Charge on A= 
2
Q
​ 
                         
Charge on B= 
2
Q
​ 
 
 
Now the conductor A is brought in contact with C. They will share equal charge among themselves.
∴ Charge on A or C = 
2
Q+ 
2
Q
​ 
 
​ 
 = 
4
3Q
​ 
 
 
New coulomb force between B and C:
F 
′
 = 
r 
2
 
K 
2
Q
​ 
 × 
4
3Q
​ 
 
​ 
 = 
8
3
​ 
  
r 
2
 
KQ 
2
 
​ 

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