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MHT CET202520 Apr 2025Morning ShiftPhysicsElectrostaticsActual

A hollow cylinder has a charge of ' q ' C within it. If is the electric flux associated with the curved surface B, the flux linked with the plane surface A will be

Options

  1. A3
  2. Bq ₀ -
  3. Cq 3 ₀
  4. D1 2 ( q ₀ - )

Correct answer

D. 1 2 ( q ₀ - )

Step-by-step solution

Flux through plane surface A Applying Gauss's Law to the closed cylindrical surface yields the total flux _ total = q/ ₀ . This total flux equals the sum through the three surfaces: _ total = _A + _B + _C . Given _B = and assuming symmetry _A = _C , substitution gives: q/ ₀ = _A + + _A = 2 _A + Solving for _A : _A = 1 2 ( q ₀ - ) The flux linked with surface A is therefore 1 2 ( q ₀ - ) .

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