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NTA Abhyas JEE Main2020PhysicsMagnetic Effects of CurrentPractice

An infinitely long wire carrying current I is along Y axis such that its one end is at point A(0, b) while the wire extends upto + ∞ . The magnitude of magnetic field strength at point (a, 0).

Options

  1. Aμ 0 I 4 π a 1 + b a 2 + b 2
  2. Bμ 0 I 4 π a 1 - b a 2 + b 2
  3. Cμ 0 I 4 π a 1 - a a 2 + b 2
  4. DNone of these

Correct answer

B. μ 0 I 4 π a 1 - b a 2 + b 2

Step-by-step solution

B = μ 0 I 4 π i a sin ⁡ 90 o + sin ⁡ - θ = μ 0 4 π i a 1 - sin ⁡ θ = μ 0 4 π i a 1 - b a 2 + b 2

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