Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 12
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A Point Charge Q is Placed at the Origin. Find the Electrostatic Energy Stored Outside the Sphere of Radius R Centred at the Origin. - Physics

Sum

A point charge Q is placed at the origin. Find the electrostatic energy stored outside the sphere of radius R centred at the origin.

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Solution

Given :
Charge on the sphere = Q

Radius of the sphere = R

Capacitance of the sphere, `C = 4pi∈_0R`

Thus, the energy of the sphere is given by 

`E = 1/2 CV^2`

= `1/2 xx 4pi∈_0R xx Q_2/(4pi∈_0R)^2`

= `Q^2/(8pi∈_0R)`

Concept: Energy Stored in a Capacitor
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APPEARS IN

HC Verma Class 11, Class 12 Concepts of Physics Vol. 2
Chapter 9 Capacitors
Q 41 | Page 168
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