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  • A device ‘X’ is connected to an a .c source. The variation of voltage, current and power in one complete cycle is shown in Fig 7.5. (a) Which curve shows power consumption over a full cycle? (b) What is the average power consumption over a cycle?

A device ‘X’ is connected to an a .c source. The variation of voltage, current, and power in one complete cycle is shown in Fig 7.5.

(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’.

Answers (1)

(a)The power consumption curve is typically a rectified or pulsating curve that oscillates with the same frequency as the voltage and current.

\text {Power (P)}=\text {VI}
Power consumption will have the maximum amplitude between the three curves.

(b)The average power over a complete AC cycle is the average of the instantaneous power over that period. Average Power consumption is zero covering a positive and a similar negative area in a complete cycle.

(c) By examining the voltage, current, and power curves, one can identify whether the device is resistive, inductive, capacitive, or a combination of these. For the given circuit, the phase difference between V and I is \frac{\pi }{2}. The device ‘X’ can be an inductor or capacitor or a series combination of inductors and capacitors.

 

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