So I originally solved a different problem which was to find the magnetic field for a loop of current and got: B=\frac{{μ_0}Ir^2}{2(r^2+z^2)^\frac{3}{2}}
Then the problem changed and it was a charged loop rotating and using your help with dl I got: B=\frac{{μ_0}qr^3ω}{4πr(r^2+z^2)^\frac{3}{2}}...
I understand that there are many similarities between the magnetic field above a current loop and the magnetic field above a spinning charged loop. The issue is, how do I incorporate the charge density into the problem?
The differential element of current di = (2πdq)/ω and dq = λdl so...
Homework Statement
Find the magnetic field at position z (z=0 in the plane of the ring) along the rotation axis for a circular ring of radius r, carrying a uniform linear charge density λ, and rotating about its axis with angular velocity ω.
Homework Equations
I=q/t
ω=2πf
f=1/period...