O Level Physics Notes: The Inverse Square Law for Electromagnetic Waves
Suppose that an area of
which
forms part of the surface of a sphere of radius
receives
wave energy from a point source placed at the centre. If
is
the energy passing through this area of
in
Watts then we say that
is
the wave intensity in
in the diagram below since the power of the source,
is
distributed over the surface of the sphere.
If the distance is now increased to
it
is clear from the diagram above that the same power is spread over an
area of
Consequently the wave intensity is reduced
Similarly
when the distance is increased to
the
wave intensity is
In
general the wave intensity at distance
from
the source is
then
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The inverse square law of the intensity of electromagnetic radiation is directly related to the fact that photons have infinite range. They do not decay as unstable atoms decay. Newton's Law of Gravity and Coulomb's Law for the force between charged particles are also inverse square law, reflecting both the infinite range of the forces and the stability of the particles that carry the force.