Square Magnetics

A DC battery is applied to a square wire, as shown. The wire has a resistance per unit length of $0.1 \, \Omega / m$ . What is the magnitude of the magnetic flux density at the center of the square (in micro-Teslas, to the nearest micro-Tesla)?

Details and Assumptions:
- $\mu_0 = 4 \pi \times 10^{-7} \, [\text{SI units}]$
- Neglect the contributions from the battery wires

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