Force on one Hemisphere by another!
Consider a uniformly charged solid dielectric sphere of total charge Q and radius R . The force exerted by one hemisphere on other hemisphere is?
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1 solution
Not able to understand the last step of integration
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d ( R 2 − x 2 ) = − 2 x d x
( ′ R ′ i s a c o n s t a n t . )
By doing this, integration becomes simpler, and comes out to be ( R 2 − x 2 )
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Oh thank u very much, can u tell me the source of the problem and plz the a reply posted by me on ur note.
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@Kyle Finch – This question came in our mock test for JEE Adanced.
The geometric of a hemisphere is 3 R / 8 above its center; wouldn't it make sense for the force to be 4 π ϵ ( 3 R / 4 ) 2 ( Q / 2 ) ( Q / 2 ) = 9 π ϵ R Q 2 ?