A magnetic dipole of magnetic moment M is kept in a magnetic field B. What is the minimum and maximum potential energy? Also give the most stable position and most unstable position of magnetic dipole.

Explanation

To solve the problem of finding the minimum and maximum potential energy of a magnetic dipole in a magnetic field, as well as identifying the most stable and most unstable positions, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Magnetic Dipole**:
A magnetic dipole consists of two equal and opposite magnetic charges (or poles) separated by a distance. The magnetic moment \( \vec{M} \) is a vector quantity that represents the strength and orientation of the dipole.

2. **Potential Energy Formula**:
...