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JEE Main2011PhysicsMagnetic Effects of CurrentActual

A current I flows in an infinitely long wire with cross section in the form of a semicircular ring of radius R . The magnitude of the magnetic induction along its axis is

Options

  1. A₀ I 2 ^2 R
  2. B₀ I 2 R
  3. C₀ I 4 ^2 R
  4. D₀ l ^2 R

Correct answer

D. ₀ l ^2 R

Step-by-step solution

d B = ₀ di 2 R [- i - j ] di = T R Rd = I d d B = ₀ I 2 ^2 R (- i - j ) B =- ₀ I ^2 R j

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