Exact closed-form formula for partial mutual inductances of rectangular conductors

In this brief, we propose a new exact closed-form mutual inductance equation for rectangular conductors. We express the mutual inductance between two parallel rectangular conductors as a weighted sum of self inductances. We do not place any restrictions on the alignment of the two parallel rectangular conductors. Moreover, they could be coplanar or reside on different layers. Most important, experimental results show that our formula is numerically more stable than that derived by Hoer and Love.