Charge Distribution in Inhomogeneous Medium
المؤلف:
Sidney B. Cahn Boris E. Nadgorny
المصدر:
A GUIDE TO PHYSICS PROBLEMS
الجزء والصفحة:
part 1 , p 53
7-8-2016
1696
Charge Distribution in Inhomogeneous Medium
A stationary current distribution is established in a medium that is isotropic but not necessarily homogeneous. Show that the medium will in general acquire a volume distribution of charge whose density is (in Gaussian units)
where σ and ε are the conductivity and the dielectric permittivity of the medium and ϕ is the potential.
SOLUTION
From the Maxwell equation for D = εE
we have
(1)
Substituting J/σ for E in (S.3.20.1) (for an isotropic medium where J is the current density), we find
From the condition that the current is stationary and 
substituting back for J,
and so
الاكثر قراءة في مواضيع اخرى
اخر الاخبار
اخبار العتبة العباسية المقدسة
