MHT CET 2025 Physics question

The electric field intensity near a conducting surface having uniform surface charge density '' is given by ( = permittivity of free space)

(A) and is parallel to the surface
(B) and is parallel to the surface
(C) and is normal to the surfaceCorrect
(D) and is normal to the surface

Answer: (C)

Solution

Take a small Gaussian pillbox straddling the surface of the conductor. Inside the conductor the field is zero, so flux leaves only through the outer face of area . The field just outside must be normal to the surface, otherwise a tangential component would move the surface charges. Gauss's law gives

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Question ID VK-102457