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When considering standard household electricity, it will likely be a 120V circuit. Ohm's law says current equal voltage divided by resistance (I = V/R). Watts are a unit of power and are I * V.
Assuming a standard lightbulbs of the same general type, higher wattage / hr indicates a greater brightness. With Voltage held constant in this power equation at V=120V, this indicates higher currents will produce a brighter light. Going back to Ohm's law, this is achieved by reducing the resistance.
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