TeXipedia

mho

Represents electrical conductance (the inverse of resistance) in physics and engineering notation.

Overview

Serves as the reciprocal unit of electrical resistance (ohm), appearing frequently in electrical engineering and physics documentation.

  • Written as an inverted omega symbol (Ω)
  • Used in equations involving electrical conductivity and admittance
  • Common in circuit analysis and electromagnetic theory
  • Particularly useful when expressing parallel circuit calculations where conductances add directly

Examples

Expressing electrical conductance (the inverse of resistance) in Siemens.

G=1R=5℧G = \frac{1}{R} = 5\mho 
G = \frac{1}{R} = 5\mho

Showing the relationship between conductance and resistivity in a conductor.

σ=℧m=1ρ\sigma = \frac{\mho}{\text{m}} = \frac{1}{\rho} 
\sigma = \frac{\mho}{\text{m}} = \frac{1}{\rho}

Calculating parallel conductance in an electrical circuit.

Gtotal=G1+G2=3℧+4℧=7℧G_{total} = G_1 + G_2 = 3\mho + 4\mho = 7\mho 
G_{total} = G_1 + G_2 = 3\mho + 4\mho = 7\mho