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COMEDK2023PhysicsMagnetic Effects of Current

A square wire of each side l carries a current I . The magnetic field at the mid-point of the square

Options

  1. A4 2 ₀ 4 I l
  2. B8 2 ₀ 4 I l
  3. C16 2 ₀ 4 I l
  4. D32 2 ₀ 4 I l

Correct answer

B. 8 2 ₀ 4 I l

Step-by-step solution

B=4 [ ₀ 4 I a ( ₁+ ₂ ) ] Here, a= l 2 and ₁= ₂=45^ aligned B & =4 ₀ 4 I (l / 2) [ 1 2 + 1 2 ] & B= 16 2 [ ₀ 4 I l ]=8 2 ( ₀ 4 I l ) aligned

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