Calculate the total resistances that can be obtained by combining three 100Ω resistances in all possible ways.
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This is blowing my mind.
Let's say I've a bunch of 100 Ohm resistors, all identical.
How is it possible that if I combine them in parallel, I can get something that has less resistance?
Check this out:
----100OHM---
---| |---
----100OHM---
This is effectively a 50 Ohm resistor!
It was already hard for current to get through one resistor (at 100Ohms), but I combined two resistors together, and now it became easier for current to go through!
If I take ten 100 Ohm resistors in parallel:
Explanation:
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