Pick your Circuit Configuration, then enter values for Resistance (R), Inductance (L), Capacitance (C), and Frequency (f) to calculate your circuit's Impedance Magnitude, along with the Phase Angle, Resonant Frequency, Quality Factor (Q), and Inductive Reactance.
Impedance Magnitude
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Phase Angle
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Resonant Frequency
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Quality Factor (Q)
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Inductive Reactance
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Capacitive Reactance
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An RLC circuit is an electrical circuit consisting of a resistor (R), inductor (L), and capacitor (C) connected together in series or parallel. These circuits are fundamental building blocks in electronics and are commonly used in radio receivers, televisions, and filter applications.
For a series RLC circuit, impedance Z = √(R² + (XL - XC)²), where XL is inductive reactance and XC is capacitive reactance. For parallel circuits, the calculation involves reciprocals of individual impedances. The phase angle is calculated using arctan((XL - XC)/R).
The resonant frequency is the frequency at which the inductive and capacitive reactances are equal, calculated as f₀ = 1/(2π√(LC)). At this frequency, the circuit impedance is minimized in series circuits and maximized in parallel circuits.
Yes, resistance affects the total impedance magnitude and determines the circuit's behavior at resonance. While reactances cancel at resonant frequency, the resistance determines the minimum impedance value and affects the quality factor of the circuit.
The quality factor Q measures how selective a circuit is at its resonant frequency. For series circuits, Q = (1/R)√(L/C), and for parallel circuits, Q = R√(C/L). Higher Q values indicate sharper frequency selectivity and lower energy losses.
In series RLC circuits, components share the same current, and impedance is minimum at resonance. In parallel RLC circuits, components share the same voltage, and impedance is maximum at resonance. The impedance calculations and frequency responses are different for each configuration.
At low frequencies, capacitive reactance dominates (circuit appears capacitive). At high frequencies, inductive reactance dominates (circuit appears inductive). At resonant frequency, reactive components cancel out, leaving only resistance.
Use ohms (Ω) for resistance, millihenries (mH) for inductance, microfarads (µF) for capacitance, and hertz (Hz) for frequency. The calculator will handle the unit conversions internally to provide accurate impedance calculations.