What Is the Correct Formula for the Self Inductance of a Solenoid?

[Monsu]

hey,
i was just confused here, which is the right formula for finding the self inductance of a solenoid, given the number of turns, the cross-sectional area, the length, and the current.

is it L = Uo x Ur x N^2 x A / L
(Uo = mu o, Ur = mu r)??


pls if it is wrong, let me know the right formula.
thanks!
Monsurat.

 

[maverick280857]

I think...it is $$L = \mu n^2 LA$$ where n = number of turns per unit length = N/L. Yours is correct.

 

[wais]

Hi Monsurat,

The correct formula for finding the self inductance of a solenoid is L = (μ0μrN^2A)/l, where μ0 is the permeability of free space, μr is the relative permeability of the material inside the solenoid, N is the number of turns, A is the cross-sectional area, and l is the length of the solenoid.

It is important to note that the units for self inductance are in henrys (H), so make sure to use the appropriate units for each variable in the formula.

I hope this helps clarify any confusion you had. Let me know if you have any other questions.