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A thick hollow cylinder of height h and inner and outer radii a and b(b>a) made up of a poorly conducting material of resistivity lies coaxially inside a long solenoid at its middle. The radius of the solenoid is larger than b. Throughout the interior of the solenoid, a uniform time varying magnetic field B= t is produced parallel to solenoid axis. Here is a constant. In this time varying magnetic field

Options

  1. Athe emf induced at a certain radius r ( a < r < b ) in the hollow cylinder is r^2
  2. Bthe induced current circulating in the thick hollow cylinder between radii a and b is i= h 4 (b^2-a^2 )
  3. Cthe resistance offered to the circulation of current by the thick hollow cylinder is R= 2 h b a
  4. Dno electric field is detectable outside the solenoid.

Correct answer

C. the resistance offered to the circulation of current by the thick hollow cylinder is R= 2 h b a

Step-by-step solution

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