On finding - Electric Potential - at the vertex of a right circular insulating cone?

The cone is given a uniform surface charge density ( helpfull if calculated for uniform volume charge density also separately ), say sigma ( § ).

Use Gauss law if possible ( also I suppose that it would be easier with that with my experiance with tougher problems ).

The slant height is l
The base radius is R
The height is R
The field there is E
The potential there is V

Use the above variables ( preferably - no problem if you are using the variables of a previously solved question );

Thanks --- A dedicated student.

Additional Details:

21 minutes ago
Also please write the potential energy required to bring a +ve test charge q from infinity upto there...

As this is the form in which i need to represent the answer it would be nice if i got it in that form...

Another point is that we can use a right cylindrical gaussian surface with base same as that of the cone ( and ign

Answer:
Definitely a nontrivial problem. One of the hard parts here is in figuring out what to do with the base. If this were a segment of a sphere instead of a flat base, the problem would be simpler.

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On finding - Electric Potential - at the vertex of a right circular insulating cone?

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