Why doesn't all the current flow down the path with the weaker resistance instead of dividing and going through both resistors (in a parallel setup with 2 unequal resistors)?
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"Current takes the path of least resistance" is just a phrase people say but it's not totally accurate. When one path through the circuit has 0 resistance (a short), it is true that current follows that path only. It isn't true when you have multiple paths, with nonzero resistance, though. A better way of saying it would be "current flows through all paths in an amount inversely proportional to their resistance." This is basically just a fancy way of stating ohm's law.
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That statement implies there are multiple possible paths.
The signal, at each instance of time, 'sees' ONE circuit which can depend upon whether the signal is constant (DC) or alternating (AC).
– Randy Zeitman Oct 29 '18 at 22:05