AIIMS 2019 Physics Magnetic Field due to Current MCQ Question

To determine the magnetic field $B$ at the center of a circular loop carrying a current $i$, we use the formula $B = \frac{\mu_0 i}{4R}$, where $\mu_0$ is the permeability of free space and $R$ is the radius of the loop. In this case, the magnetic field is expressed in terms of $\pi$ and the current, leading to the result $B = \pi \times [1 + \frac{1}{\pi}] \times 10^{-5} \, \text{T}$, which corresponds to option A. Other options are incorrect as they either miscalculate the constants or the factors of $10^{-6}$ instead of $10^{-5}$, leading to incorrect expressions for the magnetic field.