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26 November, 20:47

An alternator provides 20 A of peak current at 100 V peak AC to a resistive electric heater. How much heating power is delivered to the load?

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  1. 26 November, 21:36
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    - - The resistance of the heater is (volts/current) = 5 ohms

    - - The heating (RMS) value of a sinusoidal AC is V (peak) / √2. For this particular alternator, V (peak) = 100V, so the heating (RMS) equivalent is 70.71 V.

    - - The heating power delivered to the electric heater is (E²/R).

    Power = (100/√2) ² / 5

    Power = 5,000 / 5

    Power = 1,000 watts
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