Inductance

Step 1: Understanding parallel connection of inductors.
When two inductors are connected in parallel, the total current splits between the two inductors. The inductance opposes changes in current, and in parallel circuits, the inductive reactance (opposition to AC) behaves in a manner similar to resistances in parallel.
Step 2: Formula for equivalent inductance.
The formula for the equivalent inductance of two inductors and connected in parallel is: This shows that the reciprocal of the total inductance is the sum of the reciprocals of the individual inductances.
Step 3: Conclusion.
Since is the sum of the reciprocals of and , the equivalent inductance is always less than either or .