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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: Capacitors.............
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nknikhilesh1 (108)

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Two charges spheres have equal energy.Compare their radius if they have charges 400 and 200 units.

    
allamraju (3422)

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The self potential energy of spheres=KQ2/2R which is same for both.


Hence,Q12/R1=Q22/R2 R1/R2=(Q1/Q2)2=4/1.


So,R1:R2=4:1.


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Prajju (164)

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very simple,
=> E1=E2
=> Q1^2/2C1=Q2^2/2C2
=> ( 400*400 ) / ( 4*3.14 *R1)=(200*200)/(4*3.14*R2)
=> 4/R1=1/R2
=> Thus, R1:R2 =4:1

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