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Calculate unknown operating point from known cathode resistor

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I just can't get my head around this one.

I want to change B+ on a circuit.

I know existing B+ and plate resistor. I can draw a load line.

So far so good. Knowing the cathode resistor, how do I figure the existing operating point?
 
I just can't get my head around this one.

I want to change B+ on a circuit.

I know existing B+ and plate resistor. I can draw a load line.

So far so good. Knowing the cathode resistor, how do I figure the existing operating point?

For say 1mA, determine the voltage drop on the cathode resistor. Then plot that grid bias point, at that current, on the graph with the load line.
Repeat for other current values. The intersection of the locus of these points with the load line is the operating point. Cool, huh?
 
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