alternating-currents Question 6

Question: Q. 5. A device ’ $X$ ’ is connected to an ac source $V=V_{0}$ $\sin \omega t$. The variation of voltage, current and power in one complete cycle is shown in the following figure.

U] [CBSE SQP 2015-2016]

(i) Which curve shows power consumption over a full cycle?

(ii) Identify the device ’ $X$ ‘.

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Solution:

Ans. (i) $A$

$1 / 2$

(ii) Capacitor

[CBSE Marking Scheme 2016] 11/2

Detailed Answer :

(i) Power’s frequency is double of current or voltage frequency.

(ii) From the graph, the phase difference between $V$ and $I$ is $\frac{\pi}{2}$ so device ’ $X$ ’ may be an inductor ( $L$ ) or capacitor (C) but since current (graph $C$ ) leads the voltage (graph $B$ ), device is capacitor.



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