A device 'X' is connected to an AC source. The variation of voltage, current and power in one complete cycle is shown in figure. a) Which curve shows power consumption over a full cycle? b) What is the average power consumption over a cycle? c) Identify the device X.

A device 'X' is connected to an AC source. The variation of voltage, c

1.	A device 'X' is connected to an AC source. The variation of voltage, current and power in one complete cycle is shown in figure. a) Which curve shows power consumption over a full cycle? b) What is the average power consumption over a cycle? c) Identify the device X.
Answer» Solution :a) We know that Power = P = VI that is curve of power will be having MAXIMUM amplitude, equals to MULTIPLICATION of amplitudes of voltage (V) and current (I) curve. So, the curve will be represented by A. b) As shown by SHADED area in the diagram, the full cycle of the graph consists of one positive and one negative symmetrical area. HENCE, average power over a cycle is zero. c) As the average power is zero, hence the device may be inductor (L) or capacitance (C) or the SERIES combination of L and C.

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A device 'X' is connected to an AC source. The variation of voltage, current and power in one complete cycle is shown in figure. a) Which curve shows power consumption over a full cycle? b) What is the average power consumption over a cycle? c) Identify the device X.

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