Electron Path in Magnetic Field

Electron Path in Magnetic Field

Example 4.3: Electron's Circular Motion

This simulation demonstrates an electron's circular path in a perpendicular magnetic field.

Electron speed (v): 3 × 10⁷ m/s
Magnetic field (B): 6 × 10⁻⁴ T
Path radius (r): 0 cm
Frequency (f): 0 Hz
Energy (E): 0 keV

Key Formulas

r = mv/(qB)
f = v/(2πr)
E = ½mv² (converted to keV)

Calculations

r = (9×10⁻³¹ kg × 3×10⁷ m/s) / (1.6×10⁻¹⁹ C × 6×10⁻⁴ T)
r = 26 cm
f = (3×10⁷ m/s) / (2π × 0.26 m) ≈ 2 MHz
E = ½ × 9×10⁻³¹ kg × (3×10⁷ m/s)² = 2.5 keV

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