An isolated system consists of two conducting spheres \( A \) and \( B \). Sphere \( A \) has fi... VIDEO
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 \( V=k Q / R \), if the potential at infinity is zero.
Which one of the following statements is true after the spheres are connected by the wire?
(A) The electric potential of \( A \) is \( 1 / 25 \) as large as that of \( B \).
(B) The electric potential of \( A \) equals that of \( B \).
(C) The electric potential of \( A \) is 25 times larger than that of \( B \).
(D) The electric potential of \( A \) is \( 1 / 5 \) as large as that of \( B \).
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