Page:Thomson1881.djvu/5

From Wikisource
Jump to: navigation, search
This page has been proofread, but needs to be validated.


for points outside the sphere,

(2)

Now, by 'Electricity and Magnetism,' § 634, T the kinetic energy

,

in our case,

.

Now

.

substituting for F and

,

since the term

,

evidently vanishes.

Transforming to polars and taking the axis of x as the initial line, the above integral

.

By transforming to polars, as before, we may show that this

Similarly,

;