Units of Electric Conductance - Maple Programming Help

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Units of Electric Conductance

Description

 • Electric conductance has the dimension time cubed electric current squared per length squared mass.  The SI derived unit of electric conductance is the siemens, which is defined as an inverse ohm.
 • Maple knows the units of electric conductance listed in the following table.

 Name Symbols Context Alternate Spellings Prefixes siemens S, mho EMU * mho, mhos SI absiemens abS abmho EMU * abmho, abmhos SI statsiemens statS statmho ESU * statmho, statmhos SI

 An asterisk ( * ) indicates the default context, an at sign (@) indicates an abbreviation, and under the prefixes column, SI indicates that the unit takes all SI prefixes, IEC indicates that the unit takes IEC prefixes, and SI+ and SI- indicate that the unit takes only positive and negative SI prefixes, respectively.  Refer to a unit in the Units package by indexing the name or symbol with the context, for example, siemens[SI] or abS[EMU]; or, if the context is indicated as the default, by using only the unit name or symbol, for example, siemens or abS.
 The units of electric conductance are defined as follows.
 An absiemens is defined as $1.{10}^{9}$ siemens and is energy-equivalent to the unit second per centimeter ($\frac{s}{\mathrm{cm}}$).
 A statsiemens is defined as $\frac{100000.}{{c}^{2}}$ siemens where c is the magnitude of the speed of light, and is energy-equivalent to the unit centimeter per second ($\frac{\mathrm{cm}}{s}$).

Examples

 > $\mathrm{convert}\left('\mathrm{siemens}','\mathrm{dimensions}','\mathrm{base}'=\mathrm{true}\right)$
 $\frac{{{\mathrm{electric_current}}}^{{2}}{}{{\mathrm{time}}}^{{3}}}{{{\mathrm{length}}}^{{2}}{}{\mathrm{mass}}}$ (1)
 > $\mathrm{convert}\left(1.60217733{10}^{-19},'\mathrm{units}','S','\mathrm{abS}'\right)$
 ${1.602177330}{}{{10}}^{{-28}}$ (2)
 > $\mathrm{convert}\left(1.60217733{10}^{-19},'\mathrm{units}','S',\frac{'s'}{'\mathrm{cm}'},'\mathrm{energy}'\right)$
 ${1.602177330}{}{{10}}^{{-28}}$ (3)
 > $\mathrm{convert}\left(1.60217733{10}^{-19},'\mathrm{units}','S','\mathrm{statS}'\right)$
 ${1.439965173}{}{{10}}^{{-7}}$ (4)
 > $\mathrm{convert}\left(1.60217733{10}^{-19},'\mathrm{units}','S',\frac{'\mathrm{cm}'}{'s'},'\mathrm{energy}'\right)$
 ${1.439965173}{}{{10}}^{{-7}}$ (5)