Question:

The magnitude of magnetic induction at the mid-point O due to the current arrangement shown in the figure is:
Ques Fig

Updated On: Mar 19, 2025
  • 0
  • \( \frac{\mu_0 I}{2 \pi a} \)

  • \( \frac{\mu_0 I}{\pi a} \)

  • \( \frac{\mu_0 I}{4 \pi a} \)

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The Correct Option is C

Solution and Explanation

- Magnetic field contributions due to segments \( BC \) and \( ET \) are outward at point \( O \).

Total magnetic field:

\[ B = \frac{\mu_0 I}{4 \pi r} + \frac{\mu_0 I}{4 \pi r} = \frac{\mu_0 I}{\pi a}. \]

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