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NEET2007PhysicsElectrostaticsActual

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

Options

  1. Aq 2 ₀
  2. B3
  3. Cq ₀ -
  4. D1 2 ( q ₀ - )

Correct answer

D. 1 2 ( q ₀ - )

Step-by-step solution

Total flux through cylinder using Gauss Law By Gauss Law, total flux through the cylinder is given by: ( _ total = q ₀ (1) ) Flux through plane surface (A ) As surfaces ( A & C ) is symmetrical so ( _ A = _ C ) ( _ total = _ A + _ B + _ C = q _ o [ Using Equation (1)] ) Given Flux through curved surface ( _B= ) So, ( aligned & 2 _A+ = q ₀ & _A= 1 2 ( q ₀ - ) aligned )

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