Under what conditions does the fact that zero total charge is enclosed by a Gaussian surface imply that the electric field on the Gaussian surface is zero at all points? (a) If the charge enclosed by the Gaussian surface is zero, the electric field is always zero on the surface. (b) If the charge enclosed by the Gaussian surface is zero, the electric field is never zero on the surface. (c) A zero charge inside a Gaussian surface implies zero field on the surface only for certain highly symmetric systems.
Under what conditions does the fact that zero total charge is enclosed by a Gaussian surface imply that the
electric field on the Gaussian surface is zero at all points?
(a) If the charge enclosed by the Gaussian surface is zero, the electric field is always zero on the surface.
(b) If the charge enclosed by the Gaussian surface is zero, the electric field is never zero on the surface.
(c) A zero charge inside a Gaussian surface implies zero field on the surface only for certain highly symmetric
systems.
The electric flux expression through the Gaussian surface is given as:
The electric flux expression for the Gaussian surface with the total charge enclosed on it is given as:
Here εo is the electrical permittivity of the free space, qtotal is the total charge enclosed on the surface, and E is the electric field.
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