Question

Two magnets of equal magnetic moment (\( m_1 = m_2 \)) are placed as shown in the figure. If the magnetic field intensity at P due to magnet A1 is \( 2 \times 10^{-3} \, \text{Tesla} \), then find out the total magnetic field intensity at P due to both the magnets. 
 

Hint:

When the magnetic moments are equal and the fields are in the same direction, the total field intensity is the sum of the individual field intensities.

Answer 1

Since the magnets have equal magnetic moments, the magnetic fields due to the individual magnets at point P will add vectorially. If both magnets are placed at equal distances from point P and their magnetic fields are in the same direction, then the total magnetic field intensity will be: \[ B_{\text{total}} = B_1 + B_2 = 2 \times 10^{-3} + 2 \times 10^{-3} = 4 \times 10^{-3} \, \text{Tesla}. \] Thus, the total magnetic field intensity at point P due to both magnets is \( 4 \times 10^{-3} \, \text{Tesla} \).