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A long solenoid has 200 turns per cm and carries a current i . The magnetic field at its centre is 6.28 10⁻² Weber / m ^2 . Another long solenoid has 100 turns per cm and it carries a current i / 3 . The value of the magnetic field at its centre is

Options

  1. A1.05 10⁻⁴ Weber/m
  2. B1.05 10⁻² Weber / m ^2
  3. C1.05 10⁻⁵ Weber / m ^2
  4. D1.05 10⁻³ Weber / m ^2

Correct answer

B. 1.05 10⁻² Weber / m ^2

Step-by-step solution

B₂= B₁ n₂ i₂ n₁ i₁ = (6.28 10⁻² )(100 i / 3) 200(i) =1.05 10⁻² ~W / m ^2

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