The value of impedance in a series LCR circuit at resonance is
Correct answer: A. minimum
- A. minimum
- B. maximum
- C. infinity
- D. zero
Explanation
Impedance in a Series LCR Circuit:Impedance (Z) in a series LCR circuit represents the total opposition to the flow of alternating current (AC) and is calculated as:Z = √(R² + (XL - XC)²)where:R: ResistanceXL: Inductive reactanceXC: Capacitive reactanceResonance in a Series LCR Circuit:Resonance occurs at a specific frequency (f_r) where the inductive reactance (XL) exactly cancels out the capacitive reactance (XC). Mathematically, this means:XL = XCDuring resonance, the imaginary component of the impedance equation (XL - XC) becomes zero. As a result, the square root operation in the impedance formula simplifies to:Z = √(R²)Therefore, at resonance, the impedance of the series LCR circuit reduces to:Z = RConclusion:Since resistance (R) is a positive value, the impedance of the series LCR circuit at resonance becomes minimum and equal to the resistance (R) of the circuit
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Alternating current varies periodically, so phase relationships become essential when current passes through a resistor, capacitor or inductor. The chapter distinguishes resistance from capacitive and inductive reactance, explains phase lead and lag, and connects changing electric and magnetic fields with the production and properties of electromagnetic waves.
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