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Manipal MET2014PhysicsMagnetic Effects of Current

A wire in the form of a square of side a carries a current i . Then, the magnetic induction at the centre of the square wire is (magnetic permeability of free space = ₀ ).

Options

  1. A₀ i 2 a
  2. B₀ i 2 a
  3. C2 2 ₀ i a
  4. D₀ i 2 a

Correct answer

C. 2 2 ₀ i a

Step-by-step solution

Magnetic field due to one side of the square at centre O . array ll B₁= ₀ 4 2 i 45^ a / 2 & B₁= ₀ 4 2 2 i a array Hence, magnetic field at centre due to all sides B_ net =4 B₁= ₀(2 2 i) a

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