A wire is formed into a circle having a diameter of 10.0 cm and placed in a uniform magnetic field of 3.00 mT. The wire carries a current of 5.00 A. Find
a. the maximum torque on the wire, and
b. the range of potential energies of the wire-field system for different orientations of the circle.

Explanation

To solve the problem, we will break it down into two parts: (a) finding the maximum torque on the wire and (b) determining the range of potential energies of the wire-field system for different orientations of the circle.

### Part (a): Finding the Maximum Torque

1. **Identify the Given Values**:
- Diameter of the circle, \(d = 10.0 \, \text{cm} = 0.1 \, \text{m}\)
- Radius of the circle, \(r = \frac{d}{2} = 0.05 \, \text{m}\)
- Magnetic field strength, \(B = 3.00 \, \text{mT} = 3.00 \times 10^{-3} \, \text{T}\)
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