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Megamho (M℧) Unit Definition

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The megamho is a multiple of the unit mho (℧) for electrical conductance. The International System of Units (SI) defines the prefix mega (M) as a factor of 106 or 1000000. Per this definition, one megamho is 106 mho. The megamho is represented by the symbol M℧.

Overview

NIST's Guide for the Use of the International System of Units (SI) refers to the mho as an unaccepted special name for an SI unit and indicates that it should be strictly avoided. The SI term siemens is used universally in science and often in electrical applications, while mho is still used in some electronic contexts.

The inverted capital omega symbol (℧), while not an official SI abbreviation, is less likely to be confused with a variable than the letter S when writing on a blackboard or doing algebraic calculations by hand. The usual typographical distinctions (such as italic for variables and roman for units) are difficult to maintain. Likewise, it is difficult to distinguish the symbol S (siemens) from the lower-case s (seconds), potentially causing confusion. So, for example, a pentode’s transconductance of 2.2 mS might alternatively be written as 2.2 m℧ or 2200 μ℧ (most common in the 1930s) or 2.2 mA/V. A handwritten S can also be misread as the frequency-space variable s, commonly used in transfer functions. The ohm had officially replaced the old siemens unit, a unit of resistance, at an international conference in 1881.

Siemens (S)

The siemens is an SI derived unit of electric conductance, electric susceptance, and electric admittance. Conductance, susceptance, and admittance are the reciprocals of resistance, reactance, and impedance respectively. Therefore one siemens is redundantly equal to the reciprocal of one ohm−1) and is also referred to as the mho (℧). The siemens is represented by the symbol S.

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Sources

“Siemens (Unit).” Wikipedia, Wikimedia Foundation, 14 Sept. 2020, en.wikipedia.org/wiki/Siemens_(unit).

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