In a series circuit, connecting inductors will result in total inductance that is:

When connecting inductors in a series circuit, the total inductance can be calculated by simply adding the individual inductances together. The formula for total inductance (L_total) in a series configuration is:

[ L_{\text{total}} = L_1 + L_2 + L_3 + ... + L_n ]

This summation indicates that the total inductance will always be greater than the individual inductors due to the cumulative effect of each inductor's ability to store energy in its magnetic field. Each inductor adds its own magnetic field to the circuit, which contributes to a greater overall inductance.

The assumption here is that there is no mutual inductance between the inductors, meaning that their magnetic fields do not interact in a way that would reduce the total inductance. Therefore, the total inductance in a series circuit will always be greater than the value of the largest inductor present in the series. This accumulation of inductive properties leads to an increase in total inductance, substantiating that the total inductance is indeed always greater than the largest individual inductor in the circuit.

In contrast, options that suggest the total inductance can be equal to the smallest inductor, less than the sum of individual