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Radar System Engineering

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494 THE RECEIVING SYSTEM—INDICATORS [SEC. 136<br />

the plate load is reacthe, thecathode impedance should bealso, with the<br />

same sort of frequency response. For pure resistances the feedback<br />

ratio is Rk/(RL) and Go is RL/(Rk + R~) multiplied by the gain that<br />

would obtain if both resistances were in the plate circuit.<br />

In the cathode followers of Fig. 13”llb, the cathode circuit serves as<br />

the load and the plate is connected directly to B+, resulting ina negative-feedback<br />

amplifier of gainless than 1, characterized by great linearity,<br />

excellent frequency response, high input impedance, and low output<br />

impedance.<br />

Since the entire output voltage appears across the cathode, the feedback<br />

ratio P is unity. Therefore G is always less than 1 [Eq. (l)],<br />

approaching, for large values of the cathode resistor, the value AL/(U+ 1),<br />

where p is the voltage amplification constant of the tube. Since l/GO is<br />

nearly always considerably less than O, the amplifier has a faithful<br />

response.<br />

The internal impedance of the circuit driling the total load is given<br />

by 1 ) where g- is the mutual conductance and RP the plate<br />

g. + l/Rp<br />

resistance of the tube. This is a little less than l/g~, and is therefore in<br />

the range from one to a few hundred ohms.<br />

The input impedance of the tube itself (assuming no grid current)<br />

results from the sum of the capacities between the grid and the fixed<br />

elements (plate, screen, etc.), plus the grid-cathode capacity divided by<br />

1 – G, where G is the gain. This impedance is in parallel with the grid<br />

resistor and the wiring capacity. The effective impedance of the grid<br />

resistor connection can be increased by the method shown on the right<br />

in Fig. 13”1lb, since the drop in the grid resistor is thereby reduced.<br />

Among the applications of the cathode follower are the following:<br />

1. As a low-impedance source to supply the considerable power<br />

required to drive such a load as a transformer or a deflection coil.<br />

2. As a low-impedance source which will provide fairly uniform frequency<br />

response even when considerable capacity is associated<br />

with the load. The time constant and therefore the high-frequency<br />

response will be determined by the capacity in parallel with the<br />

internal impedance of the tube and resistance Rk. Since the tube<br />

impedance is small, good response can be obtained at frequencies<br />

of a few megacycles per second, even with fairly large load capacities.<br />

However, the internal impedance of the tube at any instant<br />

depends upon the actual tube constants at that instant. A steep<br />

negative wavefront may cause the grid to enter into a region of low<br />

g~ or to cut off, if the current flowing is too small to discharge the<br />

ocmdenser with sufficient rapidity. The current can be increased

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