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Two large parallel metal plartes are loc...

Two large parallel metal plartes are located in vacuum. One of these serves as a cathode, a source of electrons with negligible initial speed. An electron flow directed toward the opposite plate produces a space charge causing the potential in the gap between the plate to very as `V=ax^(4//3)`, where a is a positive constant, and x is the distance from the cathode. find:
(a) The volume density of space charge as a function of x
(b) The current density

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