The magnetic field at a point situated 10 cm from a magnetic dipole is observed to be 2.0 10⁻⁴ T . Calculate the magnetic moment of the dipole if this point is located in the end-on position.

Step-by-step solution

The magnetic field at the end-on (axial) position of a short magnetic dipole is given by: B = ₀ 4 2M r^3 Given B = 2.0 10⁻⁴ T and r = 10 cm = 0.1 m . Substituting the values into the formula: 2.0 10⁻⁴ = 10⁻⁷ 2M (0.1)^3 2.0 10⁻⁴ = 10⁻⁷ 2M 10⁻³ 2.0 10⁻⁴ = 10⁻⁴ 2M 2M = 2.0 M = 1.0 A m ^2