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potential function
created by
dysprosium
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dysprosium
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Mon Jun 04 2001 at 15:13:12
If a
vector
function
A
satisfies
curl A
= 0
then you can define a
scalar
potential function V such that
grad
V =
A
this makes things much easier to deal with, since you now have a (1-component) scalar function instead of an (arbitrarily-large-number-of-components) vector function. You lose accuracy to the degree of an arbitrary additive
constant
, but that can be solved with the
magic
of
boundary value problems
.
A popular use of the potential function in
physics
is the
electric potential
, which is the potential function of the
electric field
in magnetostatic problems. In problems where the
magnetic field
is non-static, the potential formulation becomes more complicated.
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