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Series RLC Impedance Calculator

Find impedance, current and phase angle of a series RLC circuit.

Inputs

Results

Impedance101.3924Ω
Current0.09862674A
Phase angle-9.50633°

Chart

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How to use the series rlc impedance calculator

Find impedance, current and phase angle of a series RLC circuit. Enter resistance, inductance, capacitance, frequency, voltage in the fields above; the impedance, current, phase angle are computed instantly and plotted on the chart so you can see how the answer changes.

Formula

Impedance (Ω) = √(R × R+(2 × π × f × L / 1000-1 / (2 × π × f × C × 1e-6))^2)
Current (A) = V / [Impedance]
Phase angle (°) = atan((2 × π × f × L / 1000-1 / (2 × π × f × C × 1e-6)) / R)

Variables

  • R — Resistance (Ω)
  • L — Inductance (mH)
  • C — Capacitance (µF)
  • f — Frequency (Hz)
  • V — Voltage (V)

Worked example

With resistance = 100 Ω, inductance = 50 mH, capacitance = 10 µF, frequency = 200 Hz, voltage = 10 V, the calculator gives impedance ≈ 101.3924 Ω; current ≈ 0.09862674 A; phase angle ≈ -9.50633 °.

Frequently asked questions

What is the formula for the series rlc impedance calculation?

Impedance (Ω) = √(R × R+(2 × π × f × L / 1000-1 / (2 × π × f × C × 1e-6))^2). Current (A) = V / [Impedance]. Phase angle (°) = atan((2 × π × f × L / 1000-1 / (2 × π × f × C × 1e-6)) / R). Here R is resistance (Ω), L is inductance (mH), C is capacitance (µF), f is frequency (Hz), V is voltage (V).

What inputs do I need for the series rlc impedance calculator?

You need resistance in Ω, inductance in mH, capacitance in µF, frequency in Hz, voltage in V. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.

How do I use this calculator?

Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.

Is the result exact?

Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.

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