Units of Electric Charge - Maple Programming Help

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Units of Electric Charge

Description

 • Electric charge has the dimension electric current time. The SI derived unit of electric charge is the coulomb, which is defined as an ampere second.
 • Maple knows the units of electric charge listed in the following table.

 Name Symbols Context Alternate Spellings Prefixes coulomb C SI * coulombs SI abcoulomb abC EMU * abcoulombs SI statcoulomb statC ESU * statcoulombs SI electron e Atomic * electrons SI franklin f standard * franklins SI planck_charge planck * planck_charges

 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, coulomb[SI] or e[Atomic]; or, if the context is indicated as the default, by using only the unit name or symbol, for example, coulomb or e.
 The units of electric charge are defined as follows.
 An abcoulomb is defined as $10$ coulombs and is energy-equivalent to the unit square root centimeter square root gram ($\sqrt{\mathrm{cm}g}$).
 A statcoulomb is defined as $\frac{10}{c}$ coulomb where c is the magnitude of the speed of light, and is energy-equivalent to the unit square root cubic centimeter square root gram per second ($\frac{{\mathrm{cm}}^{3/2}\sqrt{g}}{s}$).
 An electron is the electric charge on an electron, or approximately $1.60217733{10}^{-19}$ coulomb.
 A franklin is another name for a statcoulomb.
 A planck charge is defined as the square root of: twice the planck constant times the speed of light times the permittivity of vacuum.

Examples

 > $\mathrm{convert}\left('\mathrm{coulomb}','\mathrm{dimensions}','\mathrm{base}'=\mathrm{true}\right)$
 ${\mathrm{electric_current}}{}{\mathrm{time}}$ (1)
 > $\mathrm{convert}\left(1.602176462{10}^{-19},'\mathrm{units}','C','\mathrm{abC}'\right)$
 ${1.602176462}{}{{10}}^{{-20}}$ (2)
 > $\mathrm{convert}\left(1.602176462{10}^{-19},'\mathrm{units}','C',\sqrt{'\mathrm{cm}''g'},'\mathrm{energy}'\right)$
 ${1.602176462}{}{{10}}^{{-20}}$ (3)
 > $\mathrm{convert}\left(1.602176462{10}^{-19},'\mathrm{units}','C','\mathrm{statC}'\right)$
 ${4.803204197}{}{{10}}^{{-10}}$ (4)
 > $\mathrm{convert}\left(1.602176462{10}^{-19},'\mathrm{units}','C',\frac{{'\mathrm{cm}'}^{\frac{3}{2}}{'g'}^{\frac{1}{2}}}{'s'},'\mathrm{energy}'\right)$
 ${4.803204197}{}{{10}}^{{-10}}$ (5)
 > $\mathrm{convert}\left(1.602176462{10}^{-19},'\mathrm{units}','C','e'\right)$
 ${1.000000000}$ (6)