founded on the definition of the unit of electricity, Arts. 41, 42, and may be deduced from the equation,
,
which expresses that the resultant force at any point, due to the action of a quantity of electricity at a distance , is found by dividing by . Substituting the equations of dimension (1) and (8), we find
, ,
whence
, ,
in the electrostatic system.
The electromagnetic system is founded on a precisely similar definition of the unit of strength of a magnetic pole, Art. 374, leading to the equation
.
whence
. ,
and
, ,
in the electromagnetic system. From these results we find the dimensions of the other quantities.
626.]
Table of Dimensions.
Dimensions in
Symbol
Electrostatic System
Electromagnetic System
Quantity of electricity
.
Line-integral of electromotive force
.
Quantity of magnetism
.
Electrokinetic momentum of a circuit
Electric current
.
Magnetic potential
Electric displacement
.
Surface-density
Electromotive force at a point
.
Magnetic induction
.
Magnetic force
.
Strength of current at a point
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