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Determine the resultant magnetic field, B, given by the formula B = √(B₁² + B₂²).
- B = (μ₀I₁) / (2πd)
- B = (μ₀I₂) / (2πd)
- B = (μ₀I₁) / (4πd)
- B = (μ₀ / 2πd) √(I₁² + I₂²)
Correct answer: B = (μ₀ / 2πd) √(I₁² + I₂²)
Solution
The net magnetic field is calculated using the Pythagorean theorem for the vector sum of two perpendicular magnetic fields, B₁ and B₂. The correct formula is given in option D, which accounts for the contributions of both currents I₁ and I₂.
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