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Cube root

The cube root thing comes from the Child Langmuir equation. Child Langmuir states that current is proportional to the 3/2 power of the effective plate to cathode voltage. That means the plate to cathode voltage varies as the 2/3 power of the current (by inversion).

Since plate resistance is the rate of change of plate to cathode voltage with a change in current, it is the first derivative of the 2/3 power which is -1/3 or the inverse cube root. You may need to review differential calculus to see where that relationship comes from.

Mark Kelly


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  • Cube root - Mark Kelly 15:21:33 07/04/06 (0)


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