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COMEDK2019PhysicsElectrostatics

A cylinder of radius r and length l is placed in an uniform electric field E parallel to the axis of the cylinder. The total flux for the surface of the cylinder is given by

Options

  1. Ar² E
  2. B( r²+ l² ) E
  3. CZero
  4. D2 r² E

Correct answer

C. Zero

Step-by-step solution

The given diagram represents a cylinder placed in a uniform electric field. Let ₁ and ₂ be the flux coming out of a circular cross-sectional surface. ₃ is flux through the curved surface. Since, normal to a curved surface is always 90^ to electric field E , so ₃=E d s₃ =E d s₃ 90^ =0 ₁ and ₂ are equal and opposite to each other, hence ₁+ ₂=0 So, total flux through the surface of cylinder is zero.

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