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When I was in school for Biomedical Engineering, while playing with numbers I noticed a pattern while calculating an equation, so I tested it. This is for relatively simple equations but maybe there is a way to incorporate it at a higher level. I would imagine while crunching numbers there may be some benefit. IE a computer calculating these parameters quicker. I can't remember the exact equation it held true for but it looks like it works on multiple equations now whilst using a calculator. This may prove useful in understanding electricity or perhaps even laying out a circuit, but what do I know, I'm just a dumb grunt.

If you are calculating inductance and L1 = 18 and L2 = 36, then the total inductance in parallel LP= 12...which is 1/3 of L2 or 2/3 of L1

This works for Capacitance for calculating the in-series value as well. Basically, if one value is half of the second value, then the value you are seeking is 2/3 of the initial value or 1/3 of the second. This can be thrown around in different ways and proves true in the cases I've tested. Not sure if some one else has discovered it but I just enjoy playing with patterns. Enjoy!

If you are calculating inductance and L1 = 18 and L2 = 36, then the total inductance in parallel LP= 12...which is 1/3 of L2 or 2/3 of L1

This works for Capacitance for calculating the in-series value as well. Basically, if one value is half of the second value, then the value you are seeking is 2/3 of the initial value or 1/3 of the second. This can be thrown around in different ways and proves true in the cases I've tested. Not sure if some one else has discovered it but I just enjoy playing with patterns. Enjoy!

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