Limit operating frequency of vacuum diode¶

The vacuum diode has a limit operating frequency. At higher frequencies, the diode stops functioning normally, since the electrons will not have time to move from the cathode to the anode.

Notation:

\(e\) (e) is elementary_charge.
\(m_\text{e}\) (m_e) is electron_rest_mass.

limit_frequency¶: Limit operating temporal_frequency of the vacuum diode.

Symbol:: f
Latex:: \(f\)
Dimension:: frequency

distance¶: euclidean_distance between electrodes.

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

voltage¶: voltage between cathode and anode.

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

law¶

f = sqrt(2 * e * V / m_e) / (6 * d)

Latex:: \[f = \frac{\sqrt{\frac{2 e V}{m_\text{e}}}}{6 d}\]