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Calculators / Technology / Series RLC impedance

Series RLC impedance calculator

Find impedance magnitude and signed reactance of an ideal series RLC circuit.

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Your result

Impedance magnitude104.03Ω
Net reactance-28.69Ω

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How to calculate

Find impedance magnitude and signed reactance of an ideal series RLC circuit.

Impedance magnitude = sqrt(r^2+(2*pi*f*l/1000-1/(2*pi*f*c/1000000))^2) Ω; Net reactance = 2*pi*f*l/1000-1/(2*pi*f*c/1000000) Ω

Worked example

Resistance (Ω): 100; Inductance (mH): 10; Capacitance (µF): 100; Frequency (Hz): 50.

Impedance magnitude: 104.03 Ω; Net reactance: -28.69 Ω.

Assumptions and limits

Uses ideal components and the units shown. This calculation does not establish component ratings, wiring safety or regulatory compliance. Uses sinusoidal steady state; a positive reactance is inductive and a negative reactance is capacitive.

Results are rounded for display; calculations use unrounded values. Read our calculation methodology.

Understanding the result

Find impedance magnitude and signed reactance of an ideal series RLC circuit.

When this tool is useful

Impedance magnitude = sqrt(r^2+(2*pi*f*l/1000-1/(2*pi*f*c/1000000))^2) Ω; Net reactance = 2*pi*f*l/1000-1/(2*pi*f*c/1000000) Ω

Understanding your inputs

InputWhat to enter
Resistance (Ω)Enter a number of at least 0 and no more than 1000000000000.
Inductance (mH)Enter a number of at least 0 and no more than 1000000000000.
Capacitance (µF)Enter a number of at least 1e-12 and no more than 1000000000000.
Frequency (Hz)Enter a number of at least 1e-12 and no more than 1000000000000.

Frequently asked questions

What assumptions does this calculation use?

Uses ideal components and the units shown. This calculation does not establish component ratings, wiring safety or regulatory compliance. Uses sinusoidal steady state; a positive reactance is inductive and a negative reactance is capacitive.

How is the result calculated?

Impedance magnitude = sqrt(r^2+(2*pi*f*l/1000-1/(2*pi*f*c/1000000))^2) Ω; Net reactance = 2*pi*f*l/1000-1/(2*pi*f*c/1000000) Ω