Need help with vector calculue (i think thats wht it is)

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SUMMARY

The discussion revolves around solving a physics problem involving vector calculus, specifically the electric potential of a charge moving in a circular path. The formula V = (1/4πε) (Qc/(rc - r · v)) is utilized, where the charge Q moves in a circle of radius a at a constant speed w. The user initially struggles with determining the vector position r to the field point R but ultimately resolves the issue by creating a simple graph instead of relying on complex calculations.

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Homework Statement


this is for a physics problem

so formula i need to solve V=1/4[tex]\pi[/tex][tex]\epsilon[/tex] (Qc/(rc-r [tex]\bullet[/tex] v)
the particle Q moves in a circle of radius a at constant speed w circle is in xy plane at t=0 charge is at (a,0)on x axis. find potentail of charge in z axis.

Homework Equations


The Attempt at a Solution


so i never really know how to find the r the vector position to field point R
I always put like r=(z2+r2) or something but don't know how they find it. For here they did
r= z z^- a(coswt x^ +sinwt y^) than they got
r2=z2 +a2
than they got to something similar to what i always guess r=(z+a)1/2
so how would i figure this out? What is this exactly called so i can maybe find some youtube videos
thanks
 
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nvm i figured it out didnt have to go threw the r=z Z^... i just make a simple graph
 

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