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Concepts Of Physics MCQ Edition [Volume 2]PhysicsMagnetic Field due to a Current

An electric current flows along the length of a hollow tube, distributed uniformly over its surface. The magnetic field

Options

  1. Ais zero at the axis
  2. Bis zero immediately outside the tube
  3. Cincreases linearly from the axis to the surface
  4. Dremains constant inside the tube

Correct answer

D. remains constant inside the tube

Step-by-step solution

By Ampere's circuital law, B d l = ₀ I_ enclosed . For any point inside the hollow tube at a distance r from the axis ( r B(2 r) = 0 B = 0 Thus, the magnetic field is zero at all points inside the tube, including the axis. Since it is zero everywhere inside, it remains constant. For a point outside the tube ( r > R ), the enclosed current is the total current I . B(2 r) = ₀ I B = ₀ I 2 r Thus, the magnetic field is non-zero immediately outside the tube and decreases as 1 r .

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