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AP EAMCET201726 Apr 2017Morning ShiftPhysicsMagnetic Effects of CurrentActual

Two concentric coils of 20 turns each are placed in same plane. Their radii are 30 ~cm and 60 ~cm and carry 0.4 ~A and 0.6 ~A currents respectively in opposite directions. The magnetic induction at the centre in tesla is ....... .

Options

  1. A8 3 ₀
  2. B2 3 ₀
  3. C5 3 ₀
  4. D10 3 ₀

Correct answer

D. 10 3 ₀

Step-by-step solution

As B_ centre = ₀ n I 2 r So, Magnetic field at O , aligned & B_O= ₀ 2 [ n₁ I₁ r₁ - n₂ I₂ r₂ ] & n₁=n₂=20 & B_O= ₀ 4 2 20 [ 0.4 30 10⁻² - 0.6 60 10⁻² ] & = ₀ 2 20 [ 0.8-0.6 60 10⁻² ]= 10 3 ₀ aligned

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