Inductance - in Circuit Analysis

In Circuit Analysis

The generalization to the case of K electrical circuits with currents i_m and voltages v_m reads

Inductance here is a symmetric matrix. The diagonal coefficients L_m,m are called coefficients of self inductance, the off-diagonal elements are called coefficients of mutual inductance. The coefficients of inductance are constant as long as no magnetizable material with nonlinear characteristics is involved. This is a direct consequence of the linearity of Maxwell's equations in the fields and the current density. The coefficients of inductance become functions of the currents in the nonlinear case, see nonlinear inductance.