JEE Physics 2023 Question with Solution

Given: The magnetic field at the mid-point $O$ is to be found for the given current arrangement.

Find: The magnitude of magnetic induction at $O$.

Magnetic field contributions due to segments $BC$ and $ET$ are outward at point $O$.

Total magnetic field:

$$B = \frac{\mu_0 I}{4 \pi r} + \frac{\mu_0 I}{4 \pi r} = \frac{\mu_0 I}{\pi a}$$

Therefore, the correct option is D and the magnitude of magnetic induction is $\frac{\mu_0 I}{\pi a}$.

The solution states "The Correct Option is C", but the worked expression concludes

$$B = \frac{\mu_0 I}{\pi a}$$

which matches option D in the listed options. Hence the worked result is used as the final answer.