Biot-Savarts law

by Niles
Tags: biotsavarts
 P: 1,863 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) $$B(z) = \mu_0I\frac{R^2}{(R^2+z^2)^{\frac{3}{2}}}$$ 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. Best, Niles.
 Quote by Niles 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) $$B(z) = \mu_0I\frac{R^2}{(R^2+z^2)^{\frac{3}{2}}}$$ 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. Best, Niles.