The discussion revolves around calculating the electric field at a distance 'a' from the end of a solid uniform charge volume shaped like a cone. Participants are exploring the integration of charge distributions and the resulting electric field, with specific focus on the geometry of the cone and the appropriate mathematical setup.
Some participants have provided guidance on the need for detailed descriptions of variables and integrals. There is acknowledgment of the complexity of the electric field from a charged disk and the necessity to consider the geometry of the cone. Multiple interpretations of the problem are being explored, but no consensus has been reached.
Participants note that the problem involves a three-dimensional setup and that the height of the cone and the distance from its end are crucial for the calculations. There are indications of missing information regarding the base width of the cone and the specifics of the charge distribution.
You'll have to provide a better problem description than that if you want to receive any meaningful help. As it stands I can sort of understand that you want to integrate over a charge distribution and determine the resulting electric field at some point.I-aM-Lost said:Homework Statement
Electric field at a distance 'a' from the end of a solid uniform charge volume
dq = Pdv
dv = (pi)(y)(dy)
A = (pi)(y)
dE = f(dq)
Homework Equations
What is the starting integral
The Attempt at a Solution
limits from 0 to b
(k)(p)(pi)(y)(dy)
E = --------------------
(b+a-y)^2
gneill said:You'll have to provide a better problem description than that if you want to receive any meaningful help. As it stands I can sort of understand that you want to integrate over a charge distribution and determine the resulting electric field at some point.
But I have no idea what the shape of the distribution is, so I can't check your setup in any way. Also, you didn't actually ask a question, merely presented some work.
gneill said:So this is a 3D problem? You'll have a triple integral to cover the volume if you want to do it all in one go. maybe choose cylindrical coordinates. Otherwise you might attack it as a stack of disks with a single integral, provided that you know the field from a uniformly charged disk...
gneill said:So where are you at with regards the field from a single disk? Have you derived an expression for the electric field on the axis of a charged disk?
## f(x) = \int_0^b\left( (k)(p)(pi-y)(dy) \right ) ## all over (b+a-y)^2gneill said:It would be better to write out your equations on a single line so that space preservation is not a concern. That or place your text inside code tags " [ code ] ... [ /code ] " (without the spaces inside the square brackets). Best of all learn to use Latex syntax and write your equations using it. For example:
## f(x) = \int_0^\pi \left( 3x^2 + 2x \right) dx ##
As for your problem, you need to describe what it is you're doing in detail. What the variables are, what the integral you're describing is meant to sum. The electric field on the axis of a uniformly charged disk is not as simple as that of a point charge! Take a look at the Hyperphysics website entry.