Answer
$B = 1.26\times 10^{-4}~T$
Work Step by Step
We can find the magnetic field at the center of the small loop:
$B = \frac{\mu_0~i}{2r}$
$B = \frac{(4\pi\times 10^{-7}~H/m)~(200~A)}{(2)(1.00~m)}$
$B = 1.26\times 10^{-4}~T$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.