Physics

RLC Impedance Calculator

Find the impedance of a series RLC circuit.

Calculated Output

Impedance (Ω) 107.7

Phase angle (°) 21.801

Formula: Z = √(R² + (X_L − X_C)²)

Step-by-Step Breakdown

1. Values used:

2. Resistance = 100 Ω

3. Inductive reactance = 80 Ω

4. Capacitive reactance = 40 Ω

6. Impedance = 107.7Ω

7. Phase angle = 21.801°

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The math behind it

Z = √(R² + (X_L − X_C)²). The phase angle is arctan((X_L − X_C)/R).

R = 100, X_L = 80, X_C = 40 → Z ≈ 107.7 Ω at 21.8°.

When is impedance minimum?

At resonance, where X_L = X_C and Z equals R.