Condensed Matter & Electromagnetism

Hall Effect

Simulate Edwin Hall's 1879 experiment. Moving charge carriers in a conductor under magnetic field $\vec{B}$ experience Lorentz force $\vec{F}_L = q(\vec{v} \times \vec{B})$, deflecting charge and creating Hall voltage $V_H = I B / n q t$.

Hall Voltage V_H +12.4 mV

Carrier Type Electrons (n-type)

Lorentz Force F_y 3.20 pN

Conductor & Field Setup

Carrier Type

Magnetic Field B 0.50 T

Current I 2.0 A

Visual Overlay

Show Charge & Voltmeter Badges

Show Lorentz Force & Drift Vectors

Show Magnetic Field B Lines

Controls

Hall Voltage Formula

Lorentz Force: F_L = q · (v_d × B)
Hall Electric Field: E_H = v_d · B = F_L / q
Hall Voltage: V_H = (I · B) / (n · q · t) = R_H · (I · B / t)

Developer Reference

Core Algorithm & Standalone Script

// Hall effect charge deflection simulation
const canvas = document.getElementById('canvas');
const ctx = canvas.getContext('2d');
// V_H = (I * B) / (n * q * t)