Question
Download Solution PDFWhich of the following phasor diagram represents the series LCR circuit at resonance?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
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:
\(f = \frac{1}{{2π }}\sqrt {\frac{1}{{LC}}}\)
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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