Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Electric Charges and Fields

Question:

Read the passage and answer the question.

Two spherical conductors B and C having equal radii and carrying equal charges in them repel each other with a force F, when kept apart at some distance. A third spherical conductor having same radius as that of B but uncharged, is brought in contact with B, then brought in contact with C and finally removed away from both. The new force of repulsion between B and C is:

Following from last question, what is the charge on A?

Options:

3Q/8

3Q/4

3Q/2

Q/2

Correct Answer:

3Q/4

Explanation:

Every time two bodi

When an identical uncharged spherical conductor A  is brought in contact with charged sphere B.
By symmetry, the total charge will be shared equally among them, as both have equal radii.
  Charge on A and B =Q/2            
 
Now, when the conductor A is brought in contact with C
They will also share equal charge among themselves, as both have equal radii.
  Charge on  A and C  =$\frac{Q+\frac{Q}{2}}{2}$=3Q/4