Answer
The magnitude of the magnetic field at the center of the small loop is $~~1.26\times 10^{-4}~T$
Work Step by Step
We can find the magnetic field at the center of the small loop:
$B = \frac{\mu_0~i}{2r}$
$B = \frac{(4\pi\times 10^{-7}~H/m)~(-200~A)}{(2)(1.00~m)}$
$B = -1.26\times 10^{-4}~T$
The magnitude of the magnetic field at the center of the small loop is $~~1.26\times 10^{-4}~T$
