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Numerical · Q20

Q.A short bar magnet has a magnetic dipole moment of 0.9 A⋅m20.9\ \text{A}\cdot\text{m}^2. Calculate the magnitude of the magnetic field on its axial line at a distance of 10 cm10\ \text{cm} from its centre.

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✓ Free question

Given m=0.9 A⋅m2m=0.9\ \text{A}\cdot\text{m}^2, d=0.1 md=0.1\ \text{m}, μ0/4π=10−7 T⋅m/A\mu_0/4\pi=10^{-7}\ \text{T}\cdot\text{m/A}.

Baxial=μ04π⋅2md3=10−7×2×0.9(0.1)3=10−7×1.80.001B_{\text{axial}} = \frac{\mu_0}{4\pi}\cdot\frac{2m}{d^3} = 10^{-7}\times\frac{2\times0.9}{(0.1)^3} = 10^{-7}\times\frac{1.8}{0.001}

Baxial=10−7×1800=1.8×10−4 TB_{\text{axial}} = 10^{-7}\times1800 = 1.8\times10^{-4}\ \text{T}

✓Final answer

Baxial=1.8×10−4 TB_{\text{axial}} = 1.8\times10^{-4}\ \text{T}, directed along the magnet's axis.

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