Equivalent diode voltage for triode

A triode has three electrodes: a cathode, an anode and one control grid. The triode can be replaced with an equivalent diode and the \(3/2\)-power law can be applied. The voltage in the equivalent diode can also be calculated.

equivalent_diode_voltage

voltage between the cathode and anode of an equivalent diode for a triode.

Symbol:

V

Latex:

\(V\)

Dimension:

voltage

anode_distance

euclidean_distance between the cathode and the anode.

Symbol:

d_a

Latex:

\(d_\text{a}\)

Dimension:

length

grid_distance

euclidean_distance between the cathode and the grid.

Symbol:

d_g

Latex:

\(d_\text{g}\)

Dimension:

length

anode_voltage

voltage between the cathode and the anode.

Symbol:

U_a

Latex:

\(U_\text{a}\)

Dimension:

voltage

voltage_gain

Voltage gain (circuit_gain) of the triode.

Symbol:

gain_V

Latex:

\(\text{gain}_{V}\)

Dimension:

dimensionless

grid_voltage

voltage between the cathode and the grid.

Symbol:

U_g

Latex:

\(U_\text{g}\)

Dimension:

voltage

law

V = (U_g + U_a / gain_V) / (1 + (d_a / d_g)^(4/3) / gain_V)

Latex:

\[V = \frac{U_\text{g} + \frac{U_\text{a}}{\text{gain}_{V}}}{1 + \frac{\left(\frac{d_\text{a}}{d_\text{g}}\right)^{\frac{4}{3}}}{\text{gain}_{V}}}\]