Series RLC impedance calculator

Calculate impedance magnitude with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use impedance magnitude to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Resistance (Ω)
10
Inductance (mH)
100
Capacitance (µF)
100
Frequency (Hz)
50
Impedance magnitude (Ω)
10.00861

Try another scenario

Resistance (Ω)
11
Inductance (mH)
100
Capacitance (µF)
100
Frequency (Hz)
50
Impedance magnitude (Ω)
11.007828
Calculation method

Calculation method

Impedance magnitude (Ω)

hypot(a,2 × π × d × b ÷ 1000-1 ÷ (2 × π × d × c ÷ 1e6))

Symbols and units
a
Resistance (Ω)
b
Inductance (mH)
c
Capacitance (µF)
d
Frequency (Hz)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Calculation steps and notation

hypot(x, y, …) is sqrt(x²+y²+…), the Euclidean length.

π is the circle constant, approximately 3.141592653589793.

Assumptions & limits

Assumptions & limits

  • Ideal series RLC circuit. Reactances subtract because inductive and capacitive phase shifts oppose.
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Further reading

Method reference ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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