# Amplification Factor and Perveance of an Elliptic Triode

01 Sep 1954-Journal of Applied Physics (American Institute of Physics)-Vol. 25, Iss: 9, pp 1196-1203

TL;DR: In this paper, an attempt has been made to derive, in terms of valve geometry, theoretical expressions for the constants of an elliptic triode, the shape of the electrodes of which belongs to a family of confocal ellipses.

Abstract: An attempt has been made to derive, in terms of valve geometry, theoretical expressions for the constants of an elliptic triode, the shape of the electrodes of which belongs to a family of confocal ellipses. The amplification factor (μ) is derived by following the method of conformal transformation. Result shows that in general it varies with the parametric angle θ of the ellipse—decreasing from the direction of minor to that of the major axis. The average value of μ increases with increasing value of the eccentricity of the grid and with decreasing value of the eccentricity of the anode. Curves for ready evaluation of μ for any value of θ are given. The problem of design of an elliptic triode having a constant μ for all values of θ is also considered and its method of solution indicated. An expression for the perveance (P) has also been obtained by adopting the procedure followed by O'Neill for determining the perveance of a plane diode having filamentary cathode. The expression shows that the value of p...

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TL;DR: In this article, the validity of employing an equivalent symmetrical anode for expressing the space-charge-limited current between nonsymmetrical electrodes is examined, and it is shown that when the equivalent anode is determined by the capacitance, the error in the expression for the current is usually quite small and its approximate magnitude may often be anticipated.

Abstract: The validity of employing an equivalent symmetrical anode for expressing the space‐charge‐limited current between nonsymmetrical electrodes is examined. It is shown that when the equivalent anode is determined by the capacitance, the error in the expression for the current is usually quite small and its approximate magnitude may often be anticipated. Exact expressions for the capacitance of some basic electrode arrangements are given, followed by a brief resume of corrections required for interpretation of experimental data.

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