The Electrostatic System of Units (ESU) - Maple Help

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The Electrostatic System of Units (ESU)

Description

• 

The electrostatic system of units (ESU) has the centimeter, gram, second, and franklin as its base units, where the franklin is energy-equivalent to the unit square root dyne centimeter (cm3/2gs). For naming consistency, the franklin is called the abcoulomb.

• 

When used in conjunction with the UseSystem command, the electrostatic system sets the following units for the given dimensions.

Dimension Name

Unit Name

 

 

length

centimeter

mass

gram

time

second

speed

kyne

acceleration

gal

energy

erg

force

dyne

power

erg per second

pressure

barye

electric current

statampere

electric charge

statcoulomb

electric capacitance

statfarad

magnetic inductance

stathenry

electric conductance

statsiemens

electric resistance

statohm

magnetic flux density

stattesla

electric potential

statvolt

magnetic flux

statweber

plane angle

radian

solid angle

steradian

Examples

Electrostatic units can be converted to their energy equivalents.

convert1,'units','dyne''centimeter''second','statampere','energy'

1

(1)

convert1,'units','dyne''centimeter','statcoulomb','energy'

1

(2)

convert1,'units','cm'32'g'12's','statcoulomb','energy'

1

(3)

If infolevel is set to a greater integer (possible settings are 1 through 5), more detailed information about the computation method is displayed.

infolevel[Units]:=1:

convert1.28523,'system','W','ESU'

convert/system:   "converting to the units erg/s"

1.285230000107

(4)

convert5.2324932,'system','mho','ESU'

convert/system:   "converting to the units statS"

4.7027303611012

(5)

unassign'infolevel[Units]'

withUnits[Standard]:

Units[UseSystem]'ESU'

Notes: 

– 

To enter a unit in 2-D Math input, select the unit from the appropriate Units palette. If the unit you want is not there, select unit and then enter the unit.

– 

In Maple 2015 and later versions, the double brackets around a unit are not displayed unless you are editing the unit.

5'kg''m''s'

5kgms

(6)

combine,'units'

500000gcms

(7)

's'

500000dyn

(8)

'cm'2

500000barye

(9)

See Also

convert/system, convert/units, infolevel, unassign, Units, Units/EnergyConversions, Units/Index, Units/Standard, Units/Systems, Units[UseSystem]


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