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1 Feb 2012 21:25:54 IST

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numerical of gauss theorem

Physics

27 identical drops of mercury are charged to the same potential of 10 volt . what will be the potential if all the charged drops are made to combine to form one large drop. assume the drops to the spherical.

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SHUBHAM TANDON

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1 Feb 2012 21:27:01 IST

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numerical of gauss theorem

nageen

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1 Feb 2012 21:42:20 IST

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let r be the radius of each small drop

the capacitance of the drop is

the charge on each sphere is Q=CV...WHERE Q is charge C is capacitance and V is potential

the charge on 27 spheres is 27CV

THE radius of the larger sphere formed is 3r

the capacitance of this sphere is

since charge is conserved it rmains the same

the potential then is V1=Q/C1

Q=CV

V1=CV/C1=10/3

PLZ LET ME KNOW IF THE ANSWER IS CORRECT

nageen

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1 Feb 2012 21:43:02 IST

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let r be the radius of each small drop

the capacitance of the drop is

the charge on each sphere is Q=CV...WHERE Q is charge C is capacitance and V is potential

the charge on 27 spheres is 27CV

THE radius of the larger sphere formed is 3r

the capacitance of this sphere is

since charge is conserved it rmains the same

the potential then is V1=Q/C1

Q=CV

V1=CV/C1=10/3

PLZ LET ME KNOW IF THE ANSWER IS CORRECT

edison

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Joined: 19 Oct 2006

Posts: 7537

15 Feb 2012 11:43:19 IST

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Apply law of conservation of charge for all the drops and use the expression for capacitance of a spherical capacitor.

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