When adding a resistor in parallel to a circuit, why does the resistance across the source drop?
(See answer below)
adding a resistor provides another path for the current to travel.
it reduces the current in the rest of the parallel part of the circuit.
the same voltage will be able to drive more current through the new circuit because some of the current will pass through the new resistor.
so that apparent resistance that the voltage sees will be lower.
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