qspec.v_el_d1  (  u ,  q ,  m ,  v0 = 0 ,  relativistic = True  )[source]

The first derivative $\frac{\partial v}{\partial E} = \frac{q}{amv(E)}$ with $a = \begin{cases}(\gamma(v_0) + qU / (mc^2))^3, & \mathrm{True}\\1, & \mathrm{False}\end{cases}$

Parameters:

uarray_like

The electric potential difference $U$ added to the kinetic energy of a body with velocity v0 (V).

qarray_like

The electric charge $q$ of the body (e).

marray_like

The mass $m$ of the body (u).

v0array_like

The initial velocity $v_0$ of the body (m/s).

relativisticbool

The calculation is performed either relativistically (True) or classically (False). The default is True.

Returns:

outndarray

The first derivative $\partial v / \partial U$ of the velocity $v$ of the body with starting velocity v0, electric charge q and mass m after electrostatic acceleration with the voltage u (m/(s V)).