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jdwood983
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Homework Statement
What is the (volume) charge density of a ring of radius [tex]r_0[/tex] and uniform charge density [tex]\lambda[/tex]?
Homework Equations
The Dirac Delta Function
The Attempt at a Solution
I've done a few line charge densities of straight wires along an axis (usually z, but on x as well), but I'm getting stuck at using the delta functions when wrapping the wire around in a circle. I am pretty sure I'll want the ring to be lying in the y-z plane, as the problem continues with an integral with [tex]\cos\theta[/tex] in the integrand and [tex]\theta[/tex], being measured from the z-axis, should give me a delta function there to make the integral easier.
Any suggestions?