Gauss’ s Law
that element.
Volume Charge ρ( volume charge density)
ΔQ / ΔV, ΔV is a volume element which includes a large number of microscopica lly charged constituents and ΔQ is charge on that element. C / m 3
Electric field due to above volume charge distribution( for 1 and n volume elements) will be:
Gauss’ s Law
According to Gauss’ s law, the total of the electric flux out of a closed surface is equal to the charge enclosed divided by the permittivity. The total electric flux through a closed surface is zero if no charge is enclosed by the surface.
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Gauss’ s law is true for any closed surface, no matter what its shape or size.
The term q on the right side of Gauss’ s law includes the sum of all charges enclosed by the surface. The charges may be located anywhere inside the surface.
In the situation when the surface is so chosen that there are some charges inside and some outside, the electric field [ whose flux appears on the left side of Eq.( 1.31)] is due to all the charges, both inside and outside S. The term q on the right