When inductors are connected in series in an electrical circuit, they are arranged one after the other in the same current path. Connecting inductors in series results in a total inductance that is different from each individual inductor's value. To find the total inductance of inductors in series, you simply add their inductances together.

The formula for finding the total inductance (L_total) of inductors in series is:

L_total = L₁ + L₂ + L₃ + ... + Ln

Where:
- L_total is the total inductance of the series combination.
- L₁, L₂, L₃, ... , Ln are the individual inductances of the inductors in series.

When inductors are connected in series, the total inductance increases. This is because the magnetic fields produced by each inductor add together, leading to a stronger overall magnetic field. Consequently, the total inductance in series is greater than any individual inductance in the series.

It's important to note that when inductors are connected in series, the total resistance in the circuit also increases because the resistance values add up. The total impedance in the series circuit is the square root of the sum of the squares of the individual inductive reactances and resistances:

Z_total = √(R₁² + (XL₁ + XL₂ + XL₃ + ... + XLn)²)

Where:
- Z_total is the total impedance of the series combination.
- R₁ is the resistance in the circuit.
- XL₁, XL₂, XL₃, ... , XLn are the inductive reactances of the individual inductors.

In practical applications, inductors are often connected in series when higher inductance values are required. This can be seen in transformers or more complex circuit configurations where different inductors are combined to achieve specific electrical characteristics.