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JEE Main202226 Jul 2022Morning ShiftPhysicsMagnetic Effects of CurrentActual

B X and B Y are the magnetic field at the centre of two coils of two coils X and Y respectively, each carrying equal current. If coil X has 200 turns and 20 cm radius and coil Y has 400 turns and 20 cm radius, the ratio of B X and B Y is

Options

  1. A1 : 1
  2. B1 : 2
  3. C2 : 1
  4. D4 : 1

Correct answer

B. 1 : 2

Step-by-step solution

Magnetic field at the centre of a single coil is B = μ 0 i 2 R If N number of loops are kept closely B = N μ 0 i 2 R Therefore, B x B y = N x N y ⇒ B x B y = 1 2

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