Department of Pre-University Education, Karnataka course PUC Karnataka Science Class 12
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# 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

ConceptElectric Potential

#### Question

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.

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#### APPEARS IN

HC Verma Solution for Concepts of Physics - Vol. 2 (2018 to Current)
Chapter 9: Capacitors
Short Answers | Q: 3 | Page no. 163

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Solution A Hollow Metal Sphere and a Solid Metal Sphere of Equal Radii Are Given Equal Charges. Which of the Two Will Have Higher Potential? Concept: Electric Potential.
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