510
PROFESSOR CLERK MAXWELL ON THE ELECTROMAGNETIC FIELD.
acts on a cylindrical wire of specific resistance , we have
where F is got from the equation
being the distance from the axis of the cylinder.
Let one term of the value of F be of the form , where T is a function of the time, then the term of which produced it is of the form
Hence if we write
The total counter current of self-induction at any point is
from to .
from to .
Also if be the length of the wire, and R its resistance,
and if C be the current when established in the wire, .
The total counter current may be written
by § (35).