Calculate impedance, phase angle, Q-factor, and resonant frequency for series and parallel RLC circuits with professional accuracy.
Enter your component values to calculate circuit impedance and characteristics
Resonance: 503.29Hz
RLC circuits combine resistive, inductive, and capacitive elements to create complex impedance characteristics
Components connected in series
Z = R + j(ωL - 1/ωC)Components connected in parallel
1/Z = 1/R + 1/(jωL) + jωCRLC circuits are fundamental building blocks in electronic systems
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Common questions about RLC circuit impedance calculations
RLC circuit impedance is the total opposition to alternating current flow in a circuit containing a resistor (R), inductor (L), and capacitor (C). It combines resistance with reactive components (inductive and capacitive reactance) and is measured in ohms (Ω).
For a series RLC circuit: Z = √(R² + (XL - XC)²), where XL = 2πfL (inductive reactance) and XC = 1/(2πfC) (capacitive reactance). For parallel circuits, calculate the reciprocal of impedances first, then invert the sum.
Resonant frequency (f₀) is the frequency at which inductive and capacitive reactances are equal, causing minimum impedance in series circuits or maximum impedance in parallel circuits. It's calculated as f₀ = 1/(2π√(LC)).
Q-factor (Quality factor) measures the sharpness of resonance in an RLC circuit. Higher Q means narrower bandwidth and less energy loss. It's calculated as Q = (1/R)√(L/C) for series circuits. Q-factor is crucial for filter design and tuned circuit applications.
In series RLC circuits, components share the same current but have different voltages. At resonance, impedance is minimum (equal to R). In parallel RLC circuits, components share the same voltage but have different currents. At resonance, impedance is maximum.
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