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I follow you abcde..
You mention current will flow where resistance is zero.
If both path have resistance, it will flow through both, current being larger in the one with lesser resistance..
But here at the junction,
if current just goes through one resisitor, there is 3 ohms resistance
If it goes through both the pathways, there is 3.3333 ohms resistance...
So why does it not take two pathways?
Resistance is not negligible in any of the pathway.
You mention current will flow where resistance is zero.
If both path have resistance, it will flow through both, current being larger in the one with lesser resistance..
But here at the junction,
if current just goes through one resisitor, there is 3 ohms resistance
If it goes through both the pathways, there is 3.3333 ohms resistance...
So why does it not take two pathways?
Resistance is not negligible in any of the pathway.