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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.

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प्रश्न

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

संख्यात्मक
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उत्तर

Given :
Charge on the sphere = Q

Radius of the sphere = R

Capacitance of the sphere, C = 4πε0R

Thus, the energy of the sphere is given by 

`E = 1/2 CV^2`

= `1/2 xx 4pi∈_0RC = Q_2/(4pi∈_0R)^2`

= `Q^2/(8pi∈_0R)`

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अध्याय 31: Capacitors - Exercises [पृष्ठ १६८]

APPEARS IN

एचसी वर्मा Concepts of Physics Volume 1 and 2 [English]
अध्याय 31 Capacitors
Exercises | Q 41 | पृष्ठ १६८

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