Calculating Electric Field E^pho in Cylindrical Coordinates

MidnightR
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How would I go about working out the Electric Field E(X) in cylindrical coordinates? The question is,

Suppose pho = pho(r) find E^pho. Suggestion to use Greens & Gauss theorem
 
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so you already have the field in cartesian coords?
 
lanedance said:
so you already have the field in cartesian coords?

http://www.phys.ufl.edu/~dorsey/phy6346-00/lectures/lect01.pdf

1.7
 
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use your words midnight, you can do it...

what ideas do you have?
 
MidnightR said:
Suppose pho = pho(r) find E^pho.m

by the way what do you mean by this?
 
lanedance said:
by the way what do you mean by this?

This is my biggest problem, trying to figure out what the hell my lecturer means :S I mean I assume he wants us to find it in cylindrical coords by the diagram & reference to r^2 = x^2 + y^2...
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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