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In the CGS-ESU system, charge q is therefore has the dimension to M 1/2 L 3/2 T −1. Other units in the CGS-ESU system include the statampere (1 statC/s) and statvolt (1 erg/statC). In CGS-ESU, all electric and magnetic quantities are dimensionally expressible in terms of length, mass, and time, and none has an independent dimension.
The elementary charge, usually denoted by e, is a fundamental physical constant, defined as the electric charge carried by a single proton (+1 e) or, equivalently, the magnitude of the negative electric charge carried by a single electron, which has charge −1 e. [2] [a]
One difference between the Gaussian and SI systems is in the factor 4π in various formulas that relate the quantities that they define. With SI electromagnetic units, called rationalized, [3] [4] Maxwell's equations have no explicit factors of 4π in the formulae, whereas the inverse-square force laws – Coulomb's law and the Biot–Savart law – do have a factor of 4π attached to the r 2.
Coulomb's law in the CGS-Gaussian system takes the form =, where F is the force, q G 1 and q G 2 are the two electric charges, and r is the distance between the charges. This serves to define charge as a quantity in the Gaussian system.
An electronvolt is the amount of energy gained or lost by a single electron when it moves through an electric potential difference of one volt. Hence, it has a value of one volt, which is 1 J/C, multiplied by the elementary charge e = 1.602 176 634 × 10 −19 C. [2] Therefore, one electronvolt is equal to 1.602 176 634 × 10 −19 J. [1]
Coulomb's equation, used to define charge in these systems, is F = q G 1 q G 2 / r 2 in the Gaussian system, and F = q HL 1 q HL 2 / (4πr 2) in the HL system. The unit of charge then connects to 1 dyn⋅cm 2 = 1 statC 2 = 4π HLC 2, where 'HLC' is the HL unit of charge.
The coulomb (symbol: C) is the unit of electric charge in the International System of Units (SI). [1] [2] It is defined to be equal to the electric charge delivered by a 1 ampere current in 1 second. It is used to define the elementary charge e. [2] [1]
In the CGS system the erg is the unit ... an electron would have a negative value of charge when ... if charge q 1 generates an electrostatic potential V 1, which is ...