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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: a sphere
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mukulss (493)

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a conducting sphere of a radius a has charge Q on it.
it is enclosed by an neutral conducting concentric spherical shell havin inner radius 2a and outer radius 3a.

find the electroststic energy of the system

please reply

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mukulss (493)

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hello???

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bhuvankar (7)

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is it 11/12 KQ2???                    (Q2---------Qsquare)
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mukulss (493)

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no man it is 5kQ^2/12a

plaese nyone see to it???

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mukulss (493)

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right answers??????

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feynmann (2438)

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See the electric field at a distance r from the origin is given by
 
E  = K Q / r^2
 
Now energy density U = 1/2 o E^2
 
                            
So the total energy is   
 U* 4 pi r^2 dr   (  from  to 3a )  +   U *4 pi r^2 dr   (  from a to 2a )
 
Carrying out this integral and noting that 4 pi o = 1/K , we get total energy = 5 / 12 K Q ^2 /a
 
We are breaking the limit in this fashion because we know that E inside any conducting shell = 0 in the electrostatic case .
  
                                                                           
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mukulss (493)

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thnx a lot feymann

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