- #1
Cantspel
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Homework Statement
A ring of radius a is made from a charge wire with a uniform charge density λ.
a) Calculate the electric potential due to the ring as a function of distance from its center along the axis of the ring passing through the center, perpendicular to its plane
b) If a particle of mass m with a charge identical to that of the ring displaced ever so slightly from the ring's center what speed will the particle eventually attain after being repulsed by the ring.
Homework Equations
V = k∫(1/r)dq[/B]
The Attempt at a Solution
[/B]
So for a I drew the ring here is my best redraw of it in ms paint below. After drawing it i used dq = λ dL than i plug that into V = k∫(1/r)dq and I plug (a2 + d2)1/2 for r. getting me V = k∫(λdL)/(a2 + d2)1/2 getting me
V = (kλL)/(a2 + d2)1/2 since L = 2πa I can replace it in the fuction. So I get V = (2kλπa)/(a2 + d2)1/2
I have to clue weather or not this is right and have no idea how to begin part b.