Magnetic Reactor Clock

Biot-Savart Law:
\( B_z(t) = \frac{\mu_0 I(t) R^2}{2 (R^2 + z^2)^{3/2}} \),
Cumulative:
\( B_{\text{total}}(t) = \int_0^t B_z(\tau) \, d\tau \),
where \( I(t) = \frac{q v(t)}{2 \pi R} \), \( v(t) = v_0 \sin(2\pi t / T) \)

Cumulative |B| = T