Which formula would you use to find total inductance in a series circuit?

To determine the total inductance in a series circuit, the correct approach is to sum the individual inductances of the inductors connected in series. The formula used for this calculation is the straightforward addition of the inductance values: (L_t = L_1 + L_2 + L_3). This method relies on the principle that in a series circuit, the magnetic fields from each inductor contribute to the overall inductance, much like resistors in series contribute to total resistance.

For instance, if you have three inductors in series with inductance values of (L_1), (L_2), and (L_3), the total inductance (L_t) is simply the sum of those values. This principle is critical in the design of circuits where precise control of inductance is required.

In contrast, other formulas presented do not apply to series configurations. The multiplication of inductances applies in parallel configurations or when calculating mutual inductance, not when adding inductors in series. Similarly, dividing inductance values is also associated with a different circuit configuration and is not relevant for determining total inductance in series. Thus, summing the individual inductances is the only correct method for calculating total inductance