# Integrating in the cylindrical coordinate system

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• Jan 12th 2012, 05:26 AM
testing12
Integrating in the cylindrical coordinate system
Hi everyone please see the problem below:
http://img515.imageshack.us/img515/6356/img0743br.jpg

Im trying to learn how to evaluate 3a. NOTICE: ap is a vector(boldfaced). My prof vagely mentioned something about not being able to integrate directly since as the direction of phi chances so does the direction ap. I know this seems unclear as this has me confused aswell and i cant find any information in my text regarding this. Can someone please help me understand how to integfrate this?

(p, phi , z)
p = radial distance from z-axis
phi = angle in radians meansured from "x-axis"
z=z as in cartesian.

Thank you!
• Jan 12th 2012, 08:20 AM
testing12
Re: Integrating in the cylindrical coordinate system
I should also add, this has applications in field Theory or Electromagnetics if that help clarify the question.
• Jan 14th 2012, 04:06 AM
testing12
Re: Integrating in the cylindrical coordinate system
Is anyone able to suggest anything I can read for the above problem?
• Jan 14th 2012, 05:06 AM
HallsofIvy
Re: Integrating in the cylindrical coordinate system
Not without knowing what $\displaystyle a_\rho$ is!
• Jan 14th 2012, 12:18 PM
testing12
Re: Integrating in the cylindrical coordinate system
Quote:

Originally Posted by HallsofIvy
Not without knowing what $\displaystyle a_\rho$ is!

ap is the vector pointing in the p direction, where:
(p, phi , z)
p = radial distance from z-axis
phi = angle in radians meansured from "x-axis"
z=z as in cartesian.
• Jan 15th 2012, 08:07 AM
testing12
Re: Integrating in the cylindrical coordinate system
Is anyone able to suggest anything I can read for the above problem?