Deflection Angle in a Repulsive Coulomb Field

Pyroadept
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Homework Statement


Find the deflection angle of a particle moving in a repulsive Coulomb field.


Homework Equations





The Attempt at a Solution


Hi everyone,
I can do this no problem if I just knew the equation for a repulsive Coulomb field! Can anyone please help me with this?

Thanks
 
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Hi Pyroadept! :wink:

Isn't that just a force of 1/r2 radially outward? :smile:
 
tiny-tim said:
Hi Pyroadept! :wink:

Isn't that just a force of 1/r2 radially outward? :smile:

So, at the risk of sounding incredibally stupid, that would mean a potential energy of U = 1/r?
 
A potential of 1/r …

potential energy would be q/r (for a body with charge q). :smile:

(or is it minus that? :confused:i get confused :redface:)
 
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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