Electrostatics || A cone charged unifomly, find intensity

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Homework Help Overview

The problem involves calculating the electrostatic field intensity at the top of a uniformly charged cone, characterized by its height and base radius. The charge is distributed throughout the volume of the cone.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the use of cylindrical coordinates for setting up the integral needed for the calculation. There are questions about how to perform the integration and how to express the integral over a volume.

Discussion Status

Some participants are seeking clarification on the integration process and the use of cylindrical coordinates, while others are providing hints about the necessary mathematical setup. There is an ongoing exploration of the problem without a clear consensus on the approach.

Contextual Notes

Participants express uncertainty about the integration technique and the application of cylindrical coordinates, indicating a need for foundational understanding of these concepts in the context of the problem.

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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