- #1
Niles
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Hi
When solving Biot-Savarts law for a current loop of radius R, the magnetic field on the axis of the loop is given by (in Tesla)
[tex]
B(z) = \mu_0I\frac{R^2}{(R^2+z^2)^{\frac{3}{2}}}
[/tex]
where I is the current through the loop. However, this derivation assumes that the loop has an infinitesimal thickness. But how is the "proper" way to take into account the fact that a current loops has a finite thickness?
My book on Electrodynamics (Griffiths) does not address this issue, and it is something I have thought about for some time.Niles.
When solving Biot-Savarts law for a current loop of radius R, the magnetic field on the axis of the loop is given by (in Tesla)
[tex]
B(z) = \mu_0I\frac{R^2}{(R^2+z^2)^{\frac{3}{2}}}
[/tex]
where I is the current through the loop. However, this derivation assumes that the loop has an infinitesimal thickness. But how is the "proper" way to take into account the fact that a current loops has a finite thickness?
My book on Electrodynamics (Griffiths) does not address this issue, and it is something I have thought about for some time.Niles.