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KCET2010PhysicsMagnetic Effects of Current

Magnetic field at the centre of a circular coil of radius R due to i flowing through it is B . The magnetic field at a point along the axis at distance R from the centre is

Options

  1. AB 2
  2. BB 4
  3. CB 8
  4. D8 ~B

Correct answer

C. B 8

Step-by-step solution

The magnetic field at a point along the axis at distance R from the centre of a circular coil of radius R carrying current i is aligned B _ A &= ₀ 2 R ² 4 ( R ²+ R ² )^ 3 / 2 &= ₀ i 2 8 R &= B 8 [ ~B _ centre = B = ₀ i 2 R ] aligned

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