The magnetic field at a point on the magnetic equator is found to be `3.1 xx 10^(-5) T`. Taking the earth's radius to be 6400 km, calculate the magneitc moment of the assumed dipole at the earth's centre.

Explanation

To solve the problem of calculating the magnetic moment of the assumed dipole at the Earth's center, we can follow these steps:

### Step 1: Understand the relationship between magnetic field and magnetic moment
The magnetic field \( B \) at a distance \( r \) from a magnetic dipole is given by the formula:
\[ B = \frac{\mu_0}{4\pi} \cdot \frac{m}{r^3} \]
where:
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