COMEDK202510 May 2025Evening ShiftPhysicsMagnetic Properties of MatterActual
For a short magnet, the magnetic field on the axial line at a distance 10 cm from its centre is 1.6 ~m 10⁻⁷ ~T . What is the magnetic field on its equatorial line at the same distance 10 cm from its centre?
Options
- A1.6 10⁻⁷ T
- B0.8 10⁻⁷ T
- C4.8 10⁻⁷ T
- D3.2 10⁻⁸ T
Correct answer
B. 0.8 10⁻⁷ T
Step-by-step solution
The magnetic field B_ axial on the axial line of a short magnetic dipole at a distance d is given by the formula B_ axial = ₀ 4 2M d^3 . The magnetic field B_ equatorial on the equatorial line of the same short magnetic dipole at the same distance d is given by the formula B_ equatorial = ₀ 4 M d^3 . Comparing the two expressions, we observe that B_ equatorial = 1 2 B_ axial . Given B_ axial = 1.6 10⁻⁷ T , we calculate B_ equatorial = 1.6 10⁻⁷ 2 T = 0.8 10⁻⁷ T . Answer: 0.8 10⁻⁷ T