Flux linkage

Flux linkage
Common symbols	${\displaystyle \Psi }$
SI unit	weber (Wb)
Other units	maxwell
In SI base units	kg⋅m2⋅s−2⋅A−1
Dimension	M L2 T−2 I−1

In electrical engineering the term flux linkage is used to define the interaction of a multi-turn inductor with the magnetic flux as described by the Faraday's law of induction. Since the contributions of all turns in the coil add up, in the over-simplified situation of the same flux ${\displaystyle \Phi }$ passing through all the turns, the flux linkage (also known as flux linked) is ${\displaystyle \Psi =n\Phi }$, where ${\displaystyle n}$ is the number of turns.^[1] The physical limitations of the coil and the configuration of the magnetic field make some flux to leak between the turns of the coil, forming the leakage flux^[2] and reducing the linkage. The flux linkage is measured in webers (Wb), like the flux itself.