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The amount of current that flows in a circuit is proportional to the voltage and inversely proportional to the resistance, as per Ohms law (I=V/R) where I is current.

When resistances (IE loads) are connected in series, the total resistance is the sum of the loads (IE Rtotal = R1 + R2 + R3 ...)
When they are connected in parallel, the total resistance is the inverse sum of the reciprocals of each resistance (IE 1/Rtotal = 1/R1 + 1/R2 + 1/R3 ...)
Therefore in parallel the total resistance is much lower, and therefore at the same voltage more current will flow.

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