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Axial vs Equatorial Field
Key Concepts — Axial vs Equatorial Field
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Axial point: lies on the line through the center of the dipole, along its axis (extending the N-S line).
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Equatorial point: lies on the perpendicular bisector of the dipole at the center.
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Axial field is PARALLEL to the dipole moment; equatorial field is ANTIPARALLEL.
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B_axial = (μ₀/4π)·(2m·r)/(r² − L²)². For r ≫ L: B_axial → (μ₀/4π)·(2m/r³).
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B_equatorial = (μ₀/4π)·m/(r² + L²)^(3/2). For r ≫ L: B_equatorial → (μ₀/4π)·(m/r³).
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Ratio at same r: B_axial / B_equatorial = 2 (for short dipoles).
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Direction of axial field: from S to N of the source dipole (same as m).
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Direction of equatorial field: opposite to m (from N to S externally).