Two metallic spheres of radii, r₁ and r₂are far apart but are connected by a thin wire. Their combined charge is Q. Find (i) the charge on the sphere of radius r₁ and (ii) their common potential.

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Solution

As the sphere are connected by a thin wire, their electric potentials are same
so,
kQ/r1 = kq/r2
or
Q/q = r1/r2

thus, the charge on the sphere of radius r1 will be

Q = (r1/r2).q

the combined electric potential would be
kQ/r1 + kq/r2
= kq/r2 + kq/r2
= 2 (kq/r2)

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Two metallic spheres of radii, r1 and r2are far apart but are connected by a thin wire. Their combined charge is Q. Find (i) the charge on the sphere of radius r1 and (ii) their common potential.

As the sphere are connected by a thin wire, their electric potentials are sameso,kQ/r1 = kq/r2orQ/q = r1/r2 thus, the charge on the sphere of radius r1 will be Q = (r1/r2).q the combined electric potential would bekQ/r1 + kq/r2= kq/r2 + kq/r2= 2 (kq/r2)

Two metallic spheres of radii, r₁ and r₂are far apart but are connected by a thin wire. Their combined charge is Q. Find (i) the charge on the sphere of radius r₁ and (ii) their common potential.

As the sphere are connected by a thin wire, their electric potentials are same
so,
kQ/r1 = kq/r2
or
Q/q = r1/r2

thus, the charge on the sphere of radius r1 will be

Q = (r1/r2).q

the combined electric potential would be
kQ/r1 + kq/r2
= kq/r2 + kq/r2
= 2 (kq/r2)