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Inductance in Parallel Circuits

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Inductance in Parallel Circuits

Inductance in a parallel circuit is the inverse of the sum of the reciprocals of each component. This sounds pretty difficult but it is not. Not if you learn the use of the reciprocal key 1/x on your calculator.

Here's how it works. Inductance total in a parallel circuit is found by entering the values of:

the first component, then pressing the 1/x key, then the plus + key,
the second component, then pressing the 1/x key, then the plus + key,
the third component, then pressing the 1/x key, then the plus + key,
the fourth component, then pressing the 1/x key, then the equals key =,
then the 1/x key one last time. Then read the answer.

So the formula with calculator key strokes for inductance in a parallel circuit with four components is:

Lt = L1 1/x + L2 1/x + L3 1/x + L4 1/x = 1/x

The result is the total inductance in a parallel circuit with 4 components.

The 1/x key can be used to quickly find a single missing inductance in a parallel circuit when the total inductance is known. Here are the formulas:


If L1 is missing, Lt 1/x - L2 1/x - L3 1/x - L4 1/x = 1/x = read answer
If L2 is missing, Lt 1/x - L1 1/x - L3 1/x - L4 1/x = 1/x = read answer
If L3 is missing, Lt 1/x - L1 1/x - L2 1/x - L4 1/x = 1/x = read answer
If L4 is missing, Lt 1/x - L1 1/x - L2 1/x - L3 1/x = 1/x = read answer

Find practice problems HERE.

Find audio support HERE.

Find inductance story problems HERE

Find audio support for inductance story problems HERE.

 

 

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