A short magnetic dipole when placed at origin with its dipole moment oriented along x-axis , the magnetic field at the point (a,0) is `vecB` . What will be the magnetic field at the above point , if another identical dipole is also placed at origin with its dipole moment oriented along y-axis ?

Explanation

To solve the problem, we need to find the resultant magnetic field at the point (a, 0) due to two identical magnetic dipoles placed at the origin. One dipole has its moment oriented along the x-axis, and the other has its moment oriented along the y-axis.

### Step-by-Step Solution:

1. **Magnetic Field Due to the First Dipole (along x-axis)**:
- The magnetic field \( \vec{B} \) at a point due to a magnetic dipole moment \( \vec{m} \) at a distance \( r \) is given by:
\[
\vec{B} = \frac{\mu_0}{4\pi} \cdot \frac{2\vec{m}}{r^3}
...