Charge density in diode¶

The simplest device implementing a cathode current control method is a diode device. It contains a vacuum chamber, a thermionic cathode, a mesh electrode and an anode.

Notation:

\(\varepsilon_0\) (epsilon_0) is vacuum_permittivity.

charge_density¶: volumetric_charge_density in the diode.

Symbol:: rho
Latex:: \(\rho\)
Dimension:: charge/volume

grid_voltage¶: voltage on the grid.

Symbol:: V
Latex:: \(V\)
Dimension:: voltage

distance¶: euclidean_distance between the grid and the cathode.

Symbol:: d
Latex:: \(d\)
Dimension:: length

law¶

rho = 4 * epsilon_0 / 9 * V / d^2

Latex:: \[\rho = \frac{\frac{4 \varepsilon_0}{9} V}{d^{2}}\]