In finding the electric field using Gauss Law the formula |E| =… | JEE Main 2020 (8 Jan, Shift 1)

Q91JEE Main 2020 · 8 JAN · SHIFT 1Easy

Electric Flux & Gauss's Law

In finding the electric field using Gauss Law the formula $\left|\vec{E}\right| = \frac{q_{enc}}{\varepsilon_0 |A|}$ is applicable. In the formula $\varepsilon_0$ is permittivity of free space, A is the area of Gaussian surface and qenc is charge enclosed by the Gaussian surface. The equation can be used in which of the following situation?

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Answer: (d)

$\oint \vec{E}\cdot d\vec{A} = E A$ only if $\vec{E}$ is normal to the surface everywhere and $|\vec{E}|$ is the same at every point.
$\vec{E}$ is normal to a surface when the surface is equipotential.
So both conditions are needed: (d).

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