In finding the electric field using Gauss law the formula E→=qenc∈0A→ is applicable. In the formula ∈0 is permittivity of free space, A is the area of Gaussian surface and qenc is charge enclosed by the Gaussian surface. This equation can be used in which of the following situation?
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a
Only when the Gaussian surface is an equipotential surface
b
Only when the Gaussian surface is an equipotential surface and E→ is constant on the surface
c
Only when E→= constant on the surface
d
For any choice of Gaussian surface
answer is B.
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Detailed Solution
Gauss Law, ∮E→.dA→=qenc∈0⇒∮E→ dA→ cosθ = qenc∈0If E→ is perpendicular to surface at all points , then angle betweenelectric field and area vector is 0o. It means surface is equipotential⇒∮E→ dA→ = qenc∈0If E→ is constant, it can be taken out of integration sign, ⇒E→ ∮dA→ = qenc∈0⇒E→ A→ = qenc∈0⇒E→ =qenc∈0A→