Circuit Analysis (RLC) Calculator

Analyze a series RLC circuit for impedance, current, phase, resonance, Q factor, and bandwidth.

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What This Calculator Does

This calculator models a driven series RLC circuit at a selected frequency and reports the electrical quantities engineers usually inspect first: impedance, current, reactance balance, resonance, quality factor, and bandwidth.

It combines Resistance, Inductance, Capacitance, Source Voltage to estimate Impedance, Current, Phase Angle.

Formula & Method

Core equations:

X_L=2\pi fL,\quad X_C=\frac{1}{2\pi fC},\quad |Z|=\sqrt{R^2+(X_L-X_C)^2},\quad I=\frac{V}{|Z|},\quad f_0=\frac{1}{2\pi\sqrt{LC}}

Notation used in the formulas: $R$ = Impedance; $x_{1}$ = Resistance; $x_{2}$ = Inductance; $x_{3}$ = Capacitance; $x_{4}$ = Source Voltage; $x_{5}$ = Frequency.

Method summary: inputs are normalized to consistent units, core equations are evaluated, then secondary values are derived and rounded for display.

Use it when checking whether a chosen drive frequency is below, above, or near resonance, or when estimating current magnification and selectivity in a simple tuned series network.

Reference Book

University Physics with Modern Physics

Hugh D. Young and Roger A. Freedman · Pearson

A common undergraduate physics text covering mechanics, electricity, waves, energy, and introductory modern physics.

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Inputs Used

Resistance: Used directly in the calculation.
Inductance: Used directly in the calculation.
Capacitance: Used directly in the calculation.
Source Voltage: Used directly in the calculation.
Frequency: Used directly in the calculation.

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