A vacuum diode consists of plane parallel electrodes
separated by a distance d and each having an area A. On
applying a potential V to the anode with respect to the
cathode a current I flows through the diode. Assume that
the electrons are emitted with zero velocity and they do
not change the field between the electrodes. The electron
velocity is vand the charge density is pat any point
between the electrodes at a distance xfrom the cathode.
Ifi is the equivalent current, m is the mass of each charge
carrier, then
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The large number of free electrons emitted from the cathode is builds up at one place near the cathode and forms a cloud of free electrons. Thus cloud of free electrons near the cathode is called space charge. Due to this space charge, the further emitted electrons come back to the cathode hence no virtual emission takes place hence no current flows in the circuit.
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