Abstract
Solutions of the generalized equations of the variable Mu triode exp (pv)= ∫ v∞(v+z)kF(z)(dx/dz)dz(v+z0)n= ∫ vz0(v+z)kF(z)(dx/dz)dzfor dx/dz are given by means of the gamma-function. Here z is the reciprocal of the amplification constant, x is the axial distance along the grid, v is the ratio of grid to plate voltage and k is the space charge constant, usually 3/2. The constant n or p determines the shape of the plate current, grid voltage curve desired. The only restrictions for the values of n and k are n>k>0Π(n−k−1)≠∞.The solution of the integral equation of the space charge grid tube is reduced to that of the triode by a process of summation. Graphical methods are developed by means of which the distribution of grid pitches can be determined from the solution of the integral equation.
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