An isolated system consists of two conducting spheres A and B . Sphere A has fiv

Question

An isolated system consists of two conducting spheres A and B. Sphere A has five times the radius of sphere B. Initially, the spheres are given equal amounts of positive charge and are isolated from each other. The two spheres are then connected by a conducting wire.
Note: The potential of a sphere of radius R that carries a charge Q is V = kQ/R, if the potential at infinity is zero.

Reference: Ref 19-11

Determine the ratio of the charge on sphere A to that on sphere B, qA/qB, after the spheres are connected by the wire.

Explanation / Answer

after connecting by a conducting wire

then their potential should be equal

Va= Vb

V = Kq/r

ra = 5rb

kqA/5rb = kqB/rb

qA/qB = 5

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