In parallel resonance impedance is

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Examoogle · Accepted Answer

Maximum

Explanation: In a parallel resonance circuit, the impedance is at its maximum due to the cancellation of the reactive components. This occurs when the inductive reactance equals the capacitive reactance. As a result, the circuit behaves as a purely resistive circuit. Working Principle: The working principle behind this phenomenon is based on the concept of resonance in AC circuits, where the voltage and current are in phase. At resonance, the impedance of the circuit is purely resistive, and the power factor is unity. Key Formulas: $Z = \frac{1}{\sqrt{\frac{1}{R^2} + (\omega L - \frac{1}{\omega C})^2}}$ — Impedance of a parallel RLC circuit; $\omega L = \frac{1}{\omega C}$ — Condition for parallel resonance Key Points: At parallel resonance, the impedance of the circuit is maximum; The power factor of the circuit is unity at resonance Advantages: Maximum impedance at resonance; Unity power factor Applications: Tuning circuits; Filter circuits Additional Info: Resonant Frequency: The resonant frequency is given by $f_0 = \frac{1}{2\pi \sqrt{LC}}$. Wrong Options Explained: Option A is incorrect because the impedance is maximum, not minimum, at parallel resonance. Option C is incorrect because the impedance is not both minimum and maximum. Answer: B is correct — The impedance of a parallel resonance circuit is maximum due to the cancellation of reactive components. Exam Tip: For problems involving resonance, always remember to calculate the resonant frequency using the given values of inductance and capacitance.

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