If a current flows through a wire wound, a flux is produced through each turn as a result of magnetic flux density as shown in Figure 2.1. The relation between the flux density and the flux through each turn can be represented as

$\Psi ={\displaystyle \int \overline{B}\cdot d\overline{s}}$ |
(2.1) |

If there are *N* turns, then we define the flux linkage as

$\lambda =N\Psi =N{\displaystyle \int \overline{B}\cdot d\overline{s}}$ |
(2.2) |

Inductance is defined as the ratio of flux linkage to the current flowing through the windings and defined by

$L=\frac{\lambda}{I}=\frac{N\Psi}{I}$ |
(2.3) |

The inductance defined by Equation 2.3 is also known as self-inductance of the core that is formed by the windings. The core can be an air core or a magnetic core.

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