A bar magnet of length `8 cm` and having a pole strength of `1.0 A m` is placed vertically on a horizontal table with its south pole on the table. A neutral point is found on the table at a distance of 6.0 cm north of the magnet. Calculate the earth's horizontal magnetic field.

Explanation

To solve the problem, we need to calculate the Earth's horizontal magnetic field (B_H) at a neutral point found 6 cm north of a vertically placed bar magnet with a pole strength of 1.0 A m and a length of 8 cm.

### Step-by-Step Solution:

1. **Understand the Setup**:
- The bar magnet is placed vertically with its south pole on the table and the north pole at the top.
- The neutral point is located 6 cm north of the north pole of the magnet.

...