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MHT CET 2025 (21 Apr, Shift 1) · Magnetic Field of Straight Wires

Magnetic Field of Straight Wires question from MHT CET 2025 (21 Apr, Shift 1)

Q16MHT CET 2025 · 21 APR · SHIFT 1Medium

Magnetic Field of Straight Wires

Two very long straight conductors (wires) are set parallel to each other. Each carries a current ' I ' in the same direction and the separation between them is ' 2 r '. The intensity of the magnetic field at point ' P ' (as shown in the figure) ( μ0=\mu_0 = permeability of free space) is

Figure

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Answer: (a)

  1. P is outside both wires: rr from the near wire and 3r3r from the far wire. Same-direction currents give fields in the same direction at an outside point.
  2. B=μ0I2πr+μ0I2π(3r)=μ0I2πr⋅43B = \frac{\mu_0 I}{2\pi r} + \frac{\mu_0 I}{2\pi (3r)} = \frac{\mu_0 I}{2\pi r} \cdot \frac{4}{3}
  3. B=23μ0IπrB = \frac{2}{3}\frac{\mu_0 I}{\pi r}
  4. So the answer is (a).
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