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Two concentric coils of 10 turns each are placed in the same plane. Their radii are 20 cm and 40 cm and carry 0 . 2 A and 0 . 3 A current respectively in opposite directions. The magnetic induction (in tesla ) at the center is

Options

  1. A3 4 μ 0
  2. B5 4 μ 0
  3. C7 4 μ 0
  4. D9 4 μ 0

Correct answer

B. 5 4 μ 0

Step-by-step solution

Two coils carry currents in opposite directions, hence net magnetic field at centre will be difference of the two fields. i e , B n e t = μ 0 4 π . 2 π N i 1 r 1 - i 2 r 2 = 10 μ 0 2 0.2 0.2 - 0.3 0.4 = 5 4 μ 0

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