Exercise field created by a cone portion
Field created by a portion of a cone.
Consider a portion of a cone of half-angle at the apex a and R1 limit rays and R2 (R1 <R2).
This system is loaded on the surface with non-uniform density:
![](https://4.bp.blogspot.com/-1GF4qKjY5Uk/U3CVccFoWzI/AAAAAAAACpg/mskxnNrqzzQ/s1600/20.gif)
a is a constant homogeneous to a length and r the radius of the cone at a point on its axis of symmetry.
Determine the electrostatic field at the top of the cone O.
![](https://1.bp.blogspot.com/-ZIqQUQ2W5zQ/U3CVjel2lVI/AAAAAAAACpo/Iog4OpHUVVk/s1600/21.gif)
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