Question

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

• A. 0
• B. \( \frac{\mu_0 I}{2 \pi a} \)
• C. \( \frac{\mu_0 I}{\pi a} \)
• D. \( \frac{\mu_0 I}{4 \pi a} \)

Answer 1

The Correct Option is C

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

Total magnetic field:

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