Inductance of a solenoid with isolated loops and separate power supplies

[rocket4382]

I found this formula to approximate the inductance of a coil of wire. But what if a solenoid were composed of N separate loops, where each loop of the solenoid is connected to its own battery? That is, what if the solenoid had the same number of loops and the same geometry, except that each loop is isolated from the others and has its own separate power supply. How would you calculate the inductance of such a solenoid? (See attached Snapshot.jpg)

 

[AbhinavJ]

You could calculate the induction due to each loop and add them up to find the total induction.