Electricity & Magnetism
Impedance (RLC Series)
Total impedance of series RLC circuit.
Variables
ZΩ
Impedance
Total opposition to AC
RΩ
Resistance
Resistance
X_LΩ
Inductive reactance
ωL
X_CΩ
Capacitive reactance
1/(ωC)
Derivation
From phasor addition: V = √(V_R² + (V_L - V_C)²), Z = V/I.
Your notes
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Common questions
What is the Impedance (RLC Series) formula?
Impedance (RLC Series) is written Z = √(R² + (Xₗ - X_C)²). Total impedance of series RLC circuit. It belongs to Electricity & Magnetism, under AC Circuits.
What are the units in Z = √(R² + (Xₗ - X_C)²)?
In SI units, Z is impedance, measured in kg·m²/(A²·s³); R is resistance, measured in kg·m²/(A²·s³); X_L is inductive reactance, measured in kg·m²/(A²·s³); X_C is capacitive reactance, measured in kg·m²/(A²·s³).
How is the Impedance (RLC Series) formula derived?
From phasor addition: V = √(V_R² + (V_L - V_C)²), Z = V/I. The result is Z = √(R² + (Xₗ - X_C)²).