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At what distance from a long straight wire carrying a current of 12 A will the magnetic field be equal to 3 × 10⁻⁵ Wb/m²?

  1. 8 × 10⁻² m
  2. 12 × 10⁻² m
  3. 18 × 10⁻² m
  4. 24 × 10⁻² m

Correct answer: 8 × 10⁻² m

Solution

The magnetic field due to a long straight wire is given by B = μ₀I / (2πr). Substituting B = 3 × 10⁻⁵ Wb/m², I = 12 A, and μ₀ = 4π × 10⁻⁷ T·m/A, solving for r gives r = 8 × 10⁻² m.

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