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electrifice

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## Homework Statement

A uniform charge (with density D) is distributed over a cone of radius R and height z. The axis of the cone is coincident with the x-axis. Find the total electric field due to the cone along the x axis.

## Homework Equations

E = kqq/r^2

## The Attempt at a Solution

This is really just a hypothetical problem to help study for my midterm so I need to make sure that I have the right idea.

For the first part...

.../2(pi).../ z.../(-R/z)x + R

...|...|...|

kD |da...|dz...| (1/r^2)r(dr)

...|...|...|

.../ 0.../ 0.../ 0

(Sorry for the messy-looking integral)

All of that will be multiplied by the cosine of the angle that the cone's laterals make with the x-axis. Does that look reasonably correct? Now for the second part... I am not able to set up a proper integral to be able to describe a hollow cone. Would dQ just be D*2(pi)r*(dr)? I think the second part should be easier than the first, but I just can't figure out the integral.

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