Characteristic admittance

Characteristic admittance is the mathematical inverse of the characteristic impedance. The general expression for the characteristic admittance of a transmission line is:


 * $$Y_0=\sqrt{\frac{G+j\omega C}{R+j\omega L}}$$

where
 * $$R$$ is the resistance per unit length,
 * $$L$$ is the inductance per unit length,
 * $$G$$ is the conductance of the dielectric per unit length,
 * $$C$$ is the capacitance per unit length,
 * $$j$$ is the imaginary unit, and
 * $$\omega$$ is the angular frequency.

The current and voltage phasors on the line are related by the characteristic admittance as:
 * $$\frac{I^+}{V^+} = Y_0 = -\frac{I^-}{V^-}$$

where the superscripts $$+$$ and $$-$$ represent forward- and backward-traveling waves, respectively.