Electrical Admittance (Y) Calculator

Calculate Electrical Admittance

Quickly calculate electrical admittance (Y), a fundamental measure of how easily an AC circuit or component allows current to flow. Our calculator determines admittance from impedance (Z) (resistance R and reactance X), or directly from its real (conductance G) and imaginary (susceptance B) components. This tool is essential for analyzing parallel AC circuits and understanding frequency response.

Formula:

Electrical Admittance (Y) is the reciprocal of impedance (Z) and is represented in Siemens (S). It describes how easily an AC current flows through a circuit.

The primary formula for admittance is:

Y = G + jB

Where:

  • Y: Electrical Admittance (Siemens, S)
  • G: Conductance (Siemens, S), the real part of admittance
  • B: Susceptance (Siemens, S), the imaginary part of admittance
  • j: The imaginary unit (√-1)

If you have Resistance (R) and Reactance (X), Conductance (G) and Susceptance (B) can be derived as follows:

G = R / (R² + X²)

B = -X / (R² + X²)

The magnitude of admittance is |Y| = √(G² + B²), and the phase angle is ∠Y = arctan(B/G) (using atan2(B, G) for accurate quadrant calculation).

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