How does the magnetic moment and pole strength of the two parts of a magnet change if it is cut into two pieces transverse to its length?

Explanation

To solve the problem of how the magnetic moment and pole strength of a magnet change when it is cut into two pieces transverse to its length, we can follow these steps:

### Step 1: Understand the Definitions
- **Magnetic Moment (M)**: It is a measure of the strength and orientation of a magnet. For a bar magnet, it is given by the product of the pole strength (p) and the length (l) of the magnet: \( M = p \times l \).
- **Pole Strength (p)**: It is a measure of the strength of the magnetic poles.

### Step 2: Consider the Original Magnet
- Let the original length of the magnet be \( L \) and the pole strength be \( p \).
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