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Unformatted text preview: eaving
the volume surrounding the surface minus the number
entering the volume
• If En is the component of E perpendicular to the surface,
then ΦE = ∫ E⋅dA = ∫ E n ⋅ dA Gauss Law, Introduction
• Gauss Law is an expression of the general relationship
between the net electric flux through a closed surface
and the charge enclosed by the surface
– The closed surface is often called a Gaussian
• Gauss Law is of fundamental importance in the study of
electric fields E A2
A1 Applying Gauss Law
• Gauss Law is valid for the electric field of any system of
charges or continuous distribution of charge.
• Although Gauss Law can, in theory, be solved to find E
for any charge configuration, in practice it is limited to
– Particularly spherical, cylindrical, or plane symmetry
• Remember, the Gaussian surface is a surface you
choose, it does not have to coincide with a real surface r0
Q Field Due to a Uniform Cha...
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- Winter '13