Magnetic fields are wondrous things, bound by geometric relationships to the moving currents that generate them. Learn these links and the things they govern, from transformers to electric motors.

The magnetic constant is \( \mu_0 = 4 \pi \times 10^{-7} \text{ H/m}. \)

Assume \( OQ = OT = a = 2 \text{ cm}.\)

The magnetic constant is \( \mu_0 = 4 \pi \times 10^{-7} \text{ H/m}. \)

The magnetic constant is \( mu_0 = 4 \pi \times 10^{-7} \text{ H/m}. \)

The worker can twist the wire in two ways shown in the picture above. If the radius of the loop is \(r\), and the magnetic field strength at a distance \(r\) from a straight wire was \(H_0 = 10~\mbox{A/m}\), what is the difference between the magnetic field strength in the middle of the loop in the case a) and b) **in A/m**?

**Details and assumptions**

- Your answer should be the absolute value of the difference between the fields.

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