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 broadside-on position.

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Quantrex Academy · Accepted Answer

Correct answer: A. 2.0 A m^2

The magnetic field at the broadside-on (equatorial) position of a short magnetic dipole is given by:

B = \dfrac{\mu_0}{4\pi} \dfrac{M}{r^3}

Given

B = 2.0 \times 10^{-4} \text{ T}

and

r = 10 \text{ cm} = 0.1 \text{ m}

.

Substituting the values into the formula:

2.0 \times 10^{-4} = 10^{-7} \times \dfrac{M}{(0.1)^3}

2.0 \times 10^{-4} = 10^{-7} \times \dfrac{M}{10^{-3}}

2.0 \times 10^{-4} = 10^{-4} \times M

M = 2.0 \text{ A m}^2

The magnetic field at a point situated 10 cm from a magnetic dipole...

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