Question
Download Solution PDFAt resonance the impedance is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
- The ac circuit containing the capacitor, resistor, and inductor is called an LCR circuit.
- For a series LCR circuit, the total potential difference of the circuit is given by:
Where VR = potential difference across R, VL = potential difference across L and VC = potential difference across C
- For a series LCR circuit, Impedance (Z) of the circuit is given by:
Where R = resistance, XL =induvtive reactance and XC = capacitive reactive
EXPLANATION :
- Resonance of an LCR circuit is the frequency at which capacitive reactance is equal to the inductive reactance, Xc = XL, then the value of impedance is given by
\(\Rightarrow Z = \sqrt {{R^2} + {{\left( {{X_L} - {X_C}} \right)}^2}} \)
- At resonance, the value of impedance is purely resistive. Hence, option 1 is the answer
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