Impedance is resistance and reactance

Impedance combines a circuit’s resistance (real part) and reactance (imaginary part) into a single complex quantity. The definition applies at a specific angular frequency and is used for steady-state AC analysis.

Notation:

1. \(i\) is the imaginary unit.

Conditions:

1. Linear, time-invariant circuit operating in steady-state with sinusoidal excitation.

2. Resistance and reactance are evaluated at the same angular frequency.

Links:

1. Wikipedia – Electrical impedance

impedance

electrical_impedance of the system.

Symbol:

Z

Latex:

\(Z\)

Dimension:

impedance

resistance

electrical_resistance of the system.

Symbol:

R

Latex:

\(R\)

Dimension:

impedance

reactance

electrical_reactance of the system.

Symbol:

X

Latex:

\(X\)

Dimension:

impedance

definition

Z = R + I * X

Latex:

\[Z = R + i X\]