Susceptance

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In electrical engineering, the susceptance (B) is the imaginary part of the admittance. In SI units, the susceptance is measured in siemens. Oliver Heaviside first defined this property, which he called permittance, in June 1887.

$Y = G + j B \,$

or

$B = \frac{Y - G} {j} = -j \cdot (Y -G)$

where

Y is the admittance, measured in siemens

G is the conductance, measured in siemens

$j = \sqrt{-1} \,$

B is the susceptance, measured in siemens.

The admittance (Y) is the inverse of the impedance (Z)

$Y = \frac {1} {Z} = \frac {1} {R + j X} = \left( \frac {R} {R^2+X^2} \right) + j \left( \frac{-X} {R^2+X^2} \right) \,$

or

$B = Im(Y) = \left( \frac{-X} {R^2+X^2} \right)$

where

$Z = R + j X \,$

Z is the impedance, measured in ohms

R is the resistance, measured in ohms

X is the reactance, measured in ohms.

Note: The susceptance is not the inverse of the reactance.

The magnitude of admittance is given by:

$\left | Y \right | = \sqrt {G^2 + B^2} \,$

SI electromagnetism units

Conductance, Susceptance, and Admittance

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Categories: Physical quantity | Electrical engineering

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