Electrostatics || A cone charged unifomly, find intensity

AI Thread Summary
To find the electrostatic field intensity at the top of a uniformly charged cone, one must use the charge density and integrate over the volume of the cone using cylindrical coordinates. The relevant equation involves a triple integral that accounts for the geometry of the cone. Participants in the discussion express uncertainty about how to set up and solve this integral. Familiarity with cylindrical coordinates and volume integration techniques is essential for solving the problem. Proper guidance on these mathematical concepts can facilitate the solution process.
Ciumko
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Homework Statement


A cone of height H and base radius A is charged with charge Q uniformly distributed in all its volume. Find electrostatic field intensity at the top of the cone.

DATA: H, A, Q

Homework Equations


E=ρ/(4πε0) ∫Ω dΩ/R2)

and R is a vector (rr^+zz^) r^ and z^ are versors

The Attempt at a Solution


Don't have idea how to integrate this, hope anyone can help me.
 
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Use cylindrical coordinates. This gives you a triple integral.
 
How do I do this?
 
Ciumko said:
How do I do this?
Are you familiar with cylindrical coordinates?
Do you know how to write an integral over a volume using such?
Both topics can be easily found on the net.
 
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