A circular loop of wire having a radius of `8.0 cm` carries a current of `0.20 A`. A vector of unit length and parallel to the dipole moment W of the loop is given by `0.60 hati-0.80 hatj` . if the loop located in uniform magnetic field given by `B= (0.25 T)hati+ (0.30 T)hatk` find,
(a) the torque on the loop and
(b) the magnetic potential energy of the loop.

Explanation

To solve the problem, we need to find the torque on the circular loop and the magnetic potential energy of the loop in the given magnetic field.

### Given Data:
- Radius of the loop, \( R = 8.0 \, \text{cm} = 0.08 \, \text{m} \)
- Current, \( I = 0.20 \, \text{A} \)
- Unit vector parallel to the dipole moment, \( \hat{m} = 0.60 \hat{i} - 0.80 \hat{j} \)
- Magnetic field, \( \vec{B} = 0.25 \hat{i} + 0.30 \hat{k} \)

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