Magnet field of a coil

The Magnet field along the axis of a coil.


Parameters

coil 1 radius
a \(mm\)
coil 1 current
I \(mA\)
coil 2 radius
x \(mm\)
coil 2 height
z \(mm\)
coil1 turn
`n_1` \(\)
coil 2 turn
`n_2` \(\)

Output

Magnet along axis `B_z`

`B_z={mu_0 a^2 I n_1}/{2(a^2+z^2)^(3/2)}`

Magnet at coil2 Bz

Magnet at coil 2 Br

Magnet Potential `A_phi`

Poloidal magnet flux `Psi`

`Psi=2 pi x A_phi`

Mutual Inductance `L_12`

`L_12=phi/I=oint A*dl=2 pi x A_phi`