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A cone made of insulating material has a total charge Q spread uniformly over its sloping surface. Calculate the work done in bringing a small test charge q from infinity to the apex of the cone. The cone has a slope length L.

A cone made of insulating material has a total charge Q spread uniformly over its sloping surface. Calculate the work done in bringing a small test charge q from infinity to the apex of the cone. The cone has a slope length L.

Grade:11

1 Answers

Arun Kumar IIT Delhi
askIITians Faculty 256 Points
9 years ago
Let the angle between the cone is
Every charged particle on the Cone is has a force on q but force along the direction toward the center is not cancelled and others are. Try to visualize in case you feel problem.
Hieght of the cone =h
distance of particle =x
integrate from 0 to L for charge q at a distance z which is constant.

Then Integrate the integrated

Thanks & Regards
Arun Kumar
IIT Delhi
Askiitians Faculty

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