A heater, represented as a purely resistive element, dissipates 1000 Watts of heat when connected across a 230-volt DC source. If the heater was to be connected instead to a sinusoidal AC source, what should be the amplitude (peak value) so that the average heat dissipated by the heater remains the same?

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter12: Power System Controls
Section: Chapter Questions
Problem 12.4P
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A heater, represented as a purely resistive element, dissipates 1000 Watts of heat when connected across a 230-volt DC source. If the heater was to be connected instead to a sinusoidal AC source, what should be the amplitude (peak value) so that the average heat dissipated by the heater remains the same? 

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