Enter the number of turns in the coil, the permeability of the material, the cross-sectional area of the coil, and the length of the coil into the calculator to determine the self-inductance. This calculator can also evaluate any of the variables given the others are known.

Self Inductance Formula

The following formula is used to calculate the self-inductance.

L = N^2 * P * A / l

Variables:

  • L is the self inductance
  • N is the number of turns in the coil
  • P is the permeability of the material
  • A is the cross-sectional area of the coil
  • l is the length of the coil

To calculate the self inductance, square the number of turns in the coil, then multiply the result by the permeability of the material and the cross-sectional area of the coil. Divide this result by the length of the coil.

What is a Self Inductance?

Self-inductance, also known as simply inductance, is a property of an electrical circuit where a change in the current flowing through the circuit induces an electromotive force (EMF) that opposes the change in current. This phenomenon is a result of Faraday’s law of electromagnetic induction. The unit of self-inductance is the henry (H). It is a crucial concept in electromagnetism and is used in many electrical devices such as transformers and inductors.

How to Calculate Self Inductance?

The following steps outline how to calculate the Self Inductance.


  1. First, determine the number of turns in the coil (N).
  2. Next, determine the permeability of the material (?).
  3. Next, determine the cross-sectional area of the coil (A).
  4. Next, determine the length of the coil (l).
  5. Next, gather the formula from above = L = N^2 * ? * A / l.
  6. Finally, calculate the Self Inductance.
  7. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

number of turns in the coil (N) = 5

permeability of the material (?) = 2

cross-sectional area of the coil (A) = 3

length of the coil (l) = 4