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Q#1
Sinusoidal Steady State Analysis
GATE EE 1996
MCQ
+1 mark
-0.33 marks
A water boiler at home is switched on the a.c. mains supplying power at 230V/50Hz. The frequency of instantaneous power consumed by the boiler is
0 Hz
50 Hz
100 Hz
150 Hz
Explanation:
Power consumed by boiler = 
where V = voltage across boiler =
Here, 
Note that 230V is rms value of the supply voltage
R = resistance of Boiler circuit coil
Where 
Hence frequency of P is 100Hz
Note: The instantaneous power in a single phase AC Circuit oscillates at twice the supply frequency.
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