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Axial vs Equatorial Field

Key Concepts — Axial vs Equatorial Field

01

Axial point: lies on the line through the center of the dipole, along its axis (extending the N-S line).

02

Equatorial point: lies on the perpendicular bisector of the dipole at the center.

03

Axial field is PARALLEL to the dipole moment; equatorial field is ANTIPARALLEL.

04

B_axial = (μ₀/4π)·(2m·r)/(r² − L²)². For r ≫ L: B_axial → (μ₀/4π)·(2m/r³).

05

B_equatorial = (μ₀/4π)·m/(r² + L²)^(3/2). For r ≫ L: B_equatorial → (μ₀/4π)·(m/r³).

06

Ratio at same r: B_axial / B_equatorial = 2 (for short dipoles).

07

Direction of axial field: from S to N of the source dipole (same as m).

08

Direction of equatorial field: opposite to m (from N to S externally).