Electric current always takes a path with minimum resistance. Prove this mathematically by using 2 resistors of any values of your choice. Assume any value of the source voltage
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It's not true. To see this, you can try an experiment with some batteries and light bulbs. Hook up two bulbs of different wattages (that is, with different resistances) in parallel with a single battery:
------------------------------------------ | | | Battery Bulb 1 Bulb 2 | | | ------------------------------------------
Both bulbs will light up, although with different brightnesses. That is, current is flowing through the one with more resistance as well as through the one with less resistance.
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