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In a residence assume you are referring to 120 volt supply. Watts = amps x volts x Power Factor. Now Power factor is one for resistive loads like incandescent light bulbs. Power Factor can vary from zero to one when inductive loads like motors are added. So the maximum theoretical wattage would be about 15 A x 120 V. However, you de-rate a breaker to 80% of capacity so as not to continually trip breaker. Therefore, the answer you are looking for in a practical sense is 120 x 15 x .8 = 1440 watts or 1.44 kilowatts.

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Q: How many watts does a 15 amp breaker provide?
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