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Grade 12IIT JEE Entrance Exam

A cone made of insulating material has a total charge Q spread uniformly over its sloping surface. Calculate the energy required to bring a small charge q from infinityt to the apex A of the cone. The cone has a slope length L..

Zunaid Sorathiya

11 Years agoGrade 12

1 Answer

Arun

6 Years ago

given, charge Q on the cone is uniformly spread over its sloping surface.

Let be the surface charge density. the charge on an elementary area of cone of side length dx at a distance x from the apex A[ as shown in figure. ] is given by,

=now the potential at the apex due to this element is given by,

V =

=

=

now, total charge on the cone is given by, Q =

=

so, V =

now, workdone to bring a small test charge q from infinity to the apex of the cone is W = qV =

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