 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2026/ii/paper-1/37d/a/solution

Codex  0 Created 2026-09-24 Updated 2026-09-25

With

u^{μ} = γ (c, v)

and

d / d τ = γ d / d t

, the spatial components of the relativistic Lorentz force give

\frac{d ( γm v )}{d t} = q (E + v \times B) .

The time component gives

m c^{2} d γ / d t = q E \cdot v

 New to topics? Read the docs here!