Which of the following phasor diagram represents the series LCR circuit at resonance?

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VSSC (ISRO) Technician B: Electronic Mechanic Previous Year Paper (Held on 10 Dec 2017)
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Answer (Detailed Solution Below)

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Detailed Solution

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Concept:

In series LCR circuits, Resonance is a condition in which the inductive reactance and capacitive reactance are equal and lie opposite in phase, so cancel out each other. Only, resistance is left as impedance.

The frequency at which the series LCR circuit goes into resonance is:

At resonance, the impedance of the series LCR circuit is minimum and hence the current is maximum.

A series LCR circuit is as shown:

The phasor diagram is as shown below:

At resonance, XL = XC, i.e. the voltage across the inductor and capacitor are equal and opposite. The resultant phasor diagram at resonant frequency will, therefore, be:

The impedance - frequency curve is shown below:

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