Question

Two identical magnetic dipoles of magnetic moment \( 1.0 \, \text{Am}^2 \) each, placed at a separation of 2 m with their axes perpendicular to each other. The resultant magnetic field at a point midway between the dipoles is

• A. \( 5 \times 10^{-7} \, \text{T} \)
• B. \( 2 \times 10^{-7} \, \text{T} \)
• C. \( 1 \times 10^{-7} \, \text{T} \)
• D. \( 4 \times 10^{-7} \, \text{T} \)

Hint:

The magnetic field due to dipoles depends on their magnetic moment and the distance between them.

Answer 1

The Correct Option is A

Step 1: Resultant field due to dipoles.
When two dipoles are placed at a distance, the resultant field at the midpoint is the vector sum of the individual fields created by each dipole. Since their axes are perpendicular, the field can be calculated using the formula for the magnetic field of dipoles.

Step 2: Conclusion.
The resultant magnetic field at the point midway between the dipoles is \( 5 \times 10^{-7} \, \text{T} \), which corresponds to option (1).