# Magnetic Dipole Field Visualizer

Interactive magnetic dipole field visualization: adjust dipole moment magnitude and orientation, observe field lines, field strength heatmap, and cross-section views in different planes

> Canonical page: https://elysiatools.com/en/visualizations/magnetic-dipole-field

- **Category:** Physics

## Overview

Interactive visualization of the magnetic dipole field demonstrating 1/r³ decay, closed field line topology, and cross-section views. Field formula: B = (μ₀/4π) · (3(m·r̂)r̂ - m) / r³, with components Bᵣ = 2cosθ/r³ and B_θ = sinθ/r³. Features: field line tracing from the dipole with adjustable density (6-32 lines), field strength heatmap using logarithmic color scale (dark blue to yellow), optional field vector grid with arrow scaling, magnetic scalar potential equipotential contours, and interactive dipole arrow showing N/S poles. Adjustable parameters: dipole moment magnitude |m| (0.2-3.0), orientation angle θ (0-360°), field line density (6-32). Three cross-section planes: XY, XZ, YZ. Mouse probe shows real-time B field components (Bx, By, |B|, direction) at cursor position. Four presets: Aligned (θ=0, classic dipole), Tilted 45°, Horizontal (90°, equatorial view), Strong Dipole. Display toggles: field lines, heatmap, vectors, dipole arrow, equipotential. Educational content covers dipole field theory (1/r³ decay, closed loops, axis vs equator strength), field line topology (Gauss's law div B = 0, r = r₀sin²θ equation), and applications (Earth's magnetosphere, MRI, compass, motors, magnetic recording, particle accelerators, Jupiter). Multi-language support (zh, en, es, fr, de, ru, pt).

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