RLC impedance calculator

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Result

Impedance |Z|61.79 Ω

Phase angle−35.99 °

X_L31.42 Ω

X_C67.73 Ω

Resonant frequency73.41 Hz

Step-by-step solution

Reactances

ω = 2π·50 = 314.2 rad/s

X_L = ωL = 31.42 Ω

X_C = 1/(ωC) = 67.73 Ω

Series impedance

Z = R + j(X_L − X_C) = 50 + j−36.31 Ω

|Z| = √(50² + −36.31²) = 61.79 Ω

φ = atan(−36.31/50) = −35.99°

Resonance

f₀ = 1/(2π√(LC)) = 73.41 Hz

Key formulas

Impedances: Z_R = R, Z_L = jωL, Z_C = 1/(jωC)
Angular frequency: ω = 2πf
Magnitude and angle: |Z| = √(R² + X²), φ = atan(X/R)
Phasor Ohm’s law: V = I·Z

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