A Mathematical Study of Radio Frequency Amplification

The necessary conditions for the maximum secondary current are -and M2 2-Z R -1 Z2 which may be established with only two variables making it unnecessary to tune the primary. The secondary current is then 2 22 --\ VRRR2 This leads to a tube constant y as a measure of its V Rp efficiency in a R. F. amplifier, also a coil constant LR for the secondary coil efficiency. When the secondary only is tuned the maximum secondary current occurs when X2-Z 2 X1. Curves of this maximum secondary current are given in Figures 2 and 3 and discussed there. The effect of tube output capacity is then studied, the solution being made to depend upon the previous work. In fact all additional problems such as combined impedance and mutual inductance coupling, mutual capacity between the windings, etc., can be made to depend upon the fundamental solution in a similar manner. We find that the effect of the output capacity is the same as though the tube had a complex amplification factor and a complex plate impedance.