A bar magnet of length `8 cm` and having a pole strengh 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 at a point where the net magnetic field is zero due to a bar magnet. Here are the steps to find the solution:

### Step 1: Understand the Configuration
We have a bar magnet of length \(2L = 8 \, \text{cm}\), which means \(L = 4 \, \text{cm}\). The south pole of the magnet is on the table, and the north pole is at a height of \(4 \, \text{cm}\) above the table. The neutral point (where the magnetic field is zero) is located \(6 \, \text{cm}\) north of the magnet.

### Step 2: Identify the Distances
- Distance from the north pole to the neutral point, \(d = 6 \, \text{cm} = 0.06 \, \text{m}\).
- Distance from the south pole to the neutral point is \(d' = d + L = 6 \, \text{cm} + 4 \, \text{cm} = 10 \, \text{cm} = 0.10 \, \text{m}\).
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