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QJEEM20Phda38: JEE Main 2020 Physics - Class 12 JEEM20Phda38 Solution: In finding the electric field using Gauss Law the formula

In finding the electric field using Gauss Law the formula |E→|=qencε0|A| is applicable. In the formula ε0 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?

Multiple Choice Options

  • A Only when |E→| = constant on the surface.
  • B For any choice of Gaussian surface.
  • C Only when the Gaussian surface is an equipotential surface.
  • D Only when the Gaussian surface is an equipotential surface and |E→| is constant on the surface.

Step-by-Step Verified Solution

By Gauss law

∮E→.dA→=qinε0

When E→||A→ and |E→| is constant then

E∫dA=qinε0

⇒EA = qinε0

∴ |E→| should be constant on the surface and the surface should be equipotential.

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