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Question

In an AC circuit, the box contains a capacitor or an inductor. The voltage across the source is as shown.


The following graphs are Vbox vs time (t) and Vresistance vs t. Which of the following graph(s) are correct.

A
If the box contains the inductor
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B
If the box contains the inductor
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C
If the box contains the capacitor
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D
If the box contains the capacitor
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Solution

The correct option is B If the box contains the inductor

When the box contains an inductor, phasor diagram is



Hence VL is leading V of the source. Hence A is not possible. As VR is lagging V. B is possible.

When the box contains a capacitor, phasor diagram is


Here VR is leading V of the source. Hence C is not possible.VC is lagging V. D is also not possible.

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