Inductance via number of turns and coil volume

The inductance of a coil (a solenoid) can be expressed as a function of the material’s permeability, the number of turns in the coil per unit length and its volume.

Links:

  1. Physics LibreTexts, formula 14.3.12.

inductance

inductance of the coil.

Symbol:

L

Latex:

\(L\)

Dimension:

inductance

absolute_permeability

absolute_permeability of the inside of the coil.

Symbol:

mu

Latex:

\(\mu\)

Dimension:

inductance/length

specific_coil_turn_count

Number of turns in the coil per unit length.

Symbol:

n

Latex:

\(n\)

Dimension:

1/length

volume

volume of the coil.

Symbol:

V

Latex:

\(V\)

Dimension:

volume

law

L = mu * n^2 * V

Latex:
\[L = \mu n^{2} V\]