Series: Consider N inductor are connected in series, and voltage drop across each inductor is v1, v2, .......vn.
According to KVL
\(v=v_{1}+v_{2}.....+v_{n}\)
But \(v=L\frac{di}{dt}\)
The equivalent inductance of series connected induction is the sum of the individual inductors.
Parallel: Consider N inductor are connected in parallel,
According to KCL
But \(i_{k}=\frac{1}{L_{K}}\int^t_{t_{0}}v\,dt+i_{K(t_{0})};hence,\)
Where
The equivalent impedance of parallel inductor is reciprocal of the sum of the reciprocals of the individual inductances.
