how this speaker behave in a circiut like this

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Electrons "boil" off the cathode, which is heated by the filament. It is fundamentally different from a semiconductor which can move positive charges (absence of electrons) as well as the electrons themselves - you couldn't "boil" positive charges off of the plate, in other words.
 
The vacuum tube gate pin is wrongly biased with a positive voltage that is too high. It should be a smaller negative voltage. Vbatt should be a suitable positive voltage.
Therefore the circuit produces no sound.

If you want to play with an antique vacuum tube then learn about how they work and read the datasheet for the vacuum tube that you use.
 
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