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CBSE Class 12-science Answered

1.two isolated metal spheres Aandb have radiir and 2r respectively and same cchargeq.find which of the two sphers have greater:capacitance and energy density just outside the surface of the spheres.
b.show that the equipotential surfaces are closed together in the regions of strongfield and far apart in  the regions of weak field.draw equipotential surfaces for and electric diole.
c.concentric equipotential surfaces due to a charged body placed at the centre are shown .identify the polarity of the charge and draw the electric field lines due to it.
Asked by mahamood.iphone | 05 Jan, 2016, 03:35: PM
answered-by-expert Expert Answer
1.
 
begin mathsize 12px style Capacitance space of space sphere space straight A comma space straight C subscript straight A equals 4 πε subscript 0 straight r space space space space space space left parenthesis straight i right parenthesis Capacitance space of space sphere space straight B comma space straight C subscript straight B equals 4 πε subscript 0 left parenthesis 2 straight r right parenthesis space space space space space space left parenthesis ii right parenthesis Form space left parenthesis straight i right parenthesis space and space left parenthesis ii right parenthesis space we space can space say space that comma straight C subscript straight B space greater than space straight C subscript straight A energy space density space space outside space the space surface space of space the space sphere comma space straight u space equals space 1 half straight epsilon subscript 0 straight E squared Electric space field space outside space the space sphere comma space straight E equals straight sigma over straight epsilon subscript 0 equals straight Q over Aε subscript 0 straight u space equals space 1 half straight epsilon subscript 0 open parentheses straight Q over Aε subscript 0 close parentheses squared rightwards double arrow straight u proportional to 1 over straight A squared space space space space space space space space space space left parenthesis iii right parenthesis Let space straight u subscript straight A space be space the space energy space density space of space sphere space straight A space and space straight u subscript straight B space be space the space energy space density space of space sphere space straight B Therefore comma space straight u subscript straight A space greater than space straight u subscript straight B end style
Note: Kindly ask other question as a separate query.
Answered by Priyanka Kumbhar | 05 Jan, 2016, 05:33: PM

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