# A Hollow Metal Sphere and a Solid Metal Sphere of Equal Radii Are Given Equal Charges. Which of the Two Will Have Higher Potential? - Physics

Short Note

A hollow metal sphere and a solid metal sphere of equal radii are given equal charges. Which of the two will have higher potential?

#### Solution

The potential of a metal sphere is directly proportional to the charge q given to it and inversely proportional to its radius r. i.e. V = q/(4pi∈_0r)

Since both the spheres are conductors with the same radius and charge, the charge given to them appears on the surface evenly. Thus, the potential on the surface or within the sphere will be the same, no matter the sphere is hollow or solid.

Concept: Electric Potential
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#### APPEARS IN

HC Verma Class 11, Class 12 Concepts of Physics Vol. 2
Chapter 9 Capacitors
Short Answers | Q 3 | Page 163