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NEET2026PhysicsMagnetic Effects of CurrentActual

A current I₀ flows through a metallic circular loop of radius r as shown in the figure. Resistance of the segment ABC is half that of ADC. Magnitude of magnetic field at the center O of the loop is :

Options

  1. A₀ I₀ 2 r
  2. B₀ I₀ 12r
  3. C₀ I₀ 4r
  4. D₀ I₀ 2r

Correct answer

B. ₀ I₀ 12r

Step-by-step solution

From the given figure, the dashed line passing through A, O, and C is straight, indicating that the segments ABC and ADC are semicircles. Let the resistance of segment ADC be R_ ADC = 2R . Given that the resistance of segment ABC is half that of ADC, we have R_ ABC = R . The total current I₀ splits at point A into two parallel branches. Let I₁ be the current through ABC and I₂ be the current through ADC. Since the branches are in parallel, the potential difference across them is equal: I₁ R_ ABC = I₂ R_ ADC I₁ (R)

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