Find the magnetic field due to a dipole of magnetic moment `3Am^(2)` at a point 5m away from it in the direction making angle of `45^(@)` with the dipole exists
Text Solution
AI Generated Solution
To find the magnetic field due to a magnetic dipole at a point located at a distance \( r \) from the dipole, we can use the formula for the magnetic field \( B \) at an angle \( \theta \) with respect to the dipole moment \( m \):
\[
B = \frac{\mu_0}{4\pi} \cdot \frac{m}{r^3} \cdot \sqrt{1 + 3\cos^2\theta}
\]
where:
- \( \mu_0 \) is the permeability of free space, approximately \( 4\pi \times 10^{-7} \, \text{T m/A} \)
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