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

Question

Quantrex Academy · Accepted Answer

Correct answer: D. (3 F)/(8)

Let the spherical conductors B and C have same charge as q . The electric force between them is F=(1)/(4 π _0) (q^2)/(r^2) r , being the distance between them. When third uncharged conductor A is brought in contact with B , then charge on each conductor q_A=q_B=(q_A+q_B)/(2)=(0+q)/(2)=(q)/(2) When this conductor A is now brought in contact with C , then charge on each conductor q_A=q_C=(q_A+q_C)/(2)=((q / 2)+q)/(2)=(3 q)/(4) Hence, electric force acting between B and C is aligned F^ =(1)/(4 π _0) (q_B q_C)/(r^2) & =(1)/(4 π _0) ((q / 2)(3 q / 4))/(r^2) & =(3)/(8)[(1)/(4 π _0) (q^2)/(r^2)]=(3 F)/(8) aligned

Two spherical conductors B and C having equal radii and carrying...

Options

Correct answer

Step-by-step solution

More from Electrostatics