411 REFERENCE · Wikibooks
Introduction to Mathematical Physics/Electromagnetism/Exercises
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exoeqhelmoltz
Assume constitutive relations to be:
where represents temporal convolution\index{convolution} (value of
field at time S
depends on values of at preceeding times) and
Show that in harmonical regime () and without
any charges field verifies Helmholtz equation :
Give the expression of .
Show (see ([#References references])) that function :
is solution of
Maxwell--Gauss equation, {\it i. e } it verifies:
Proove charge conservation equation eqconsdelacharge from Maxwell
equations.
Give the expression of electrical potential created by quadripole .
Show from the expression of magnetic energy that force acting on a point
charge with velocity is: