An industrial process heater delivers power from a 480-V dc generator to a 30- load resistance that

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An industrial process heater delivers power from a 480-V dc generator to a 30-Ω load resistance that produces 7680-W heat when fully on. A reduced operation requires only 4224 W of average heat generation rate. Determine 

(1) The required series rheostat resistance and the process energy efficiency and 

(2) The switching duty ratio D and the energy efficiency if an ideal power electronics control is employed.

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