PDA

View Full Version : Cylindrical coordinates


Carol_m
Sep11-08, 08:24 AM
Hello there,

I was wondering if someone can help me with this problem.

I have different charges distributed in the space as a cylinder. The axis of the "cylinder" is the Y axis. And I have one charge at certain distance (let s say pp) from the "cylinder", how do I calculate the vector from this charge to each particle (in cylindrical coordinates)?

Also, how do I calculate the vector from one particle to another in cylindrical coordinates?.

At the moment I have define the vector as \vec{R}=R_{\rho}\hat{\rho}+R_{\varphi}\hat{\varphi }+R_{y}\hat{y}

where R_{\rho}=R*sin(\frac{\varphi2-\varphi1}{2}), R_phi=R*cos(\frac{\varphi2-\varphi1}{2}) and R_{y}=y1-y2

R=sqrt(radius^2-2*radius^2*cos(\varphi2-\varphi1)),
y1 and y2 is the respectively distance to the centre and \varphi2, \varphi1 is the angle of each particle regarding axis X.

ps. sorry if my notation is not very good but I am new in this forum and I am not sure how this works!
Hope I explain myself clear enough! :)