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Electrical Admittance

Calculate the electrical admittance (conductance and susceptance) from resistance and reactance.

Electrical admittance (symbol Y) is the reciprocal of impedance — representing the total ease with which an electrical circuit permits the flow of alternating current. It is the combination of:

  • Conductance — the ability to conduct current
  • Susceptance — the capacity to store energy

Admittance is the sum of conductance and susceptance, measured in siemens (S).

Electrical admittance is mostly used to describe how electrical circuits behave in alternating current (AC) systems. It aids in the analysis of current flow and energy distribution within the circuit and sheds light on how a circuit reacts to applied voltages.

Applications

  • Power System Analysis
  • Circuit Design and Analysis
  • Filter Design
  • Antenna Design
  • Control Systems

About This Calculator

This online calculator computes the admittance (Y) of an electronic circuit or device, which is the inverse of its impedance (Z). To produce the output, the calculator requires the values for:

  • Resistance (R) — measured in ohms (Ω)
  • Reactance (X) — measured in ohms (Ω)

Formula

Y=Z1=1R+jX=RR2+X2XR2+X2jY = Z^{-1} = \frac{1}{R + jX} = \frac{R}{R^2 + X^2} - \frac{X}{R^2 + X^2}j

where:

  • YY = Admittance (S)
  • ZZ = Impedance (Ω)
  • RR = Resistance (Ω)
  • XX = Reactance (Ω)
  • jj = Imaginary unit

Inputs

Resistive component of the impedance in ohms

Reactive component of the impedance in ohms (positive for inductive, negative for capacitive)

Results

Resistance and reactance cannot both be zero
ConductanceSReal part of the admittance in siemens
SusceptanceSImaginary part of the admittance in siemens