I am trying to calculate what is theoreticaly maximum energy electron will gain between two electrodes.The electrodes are 100 micron apart and one is +50V,and other is -50V.
I learned that eV unit equals electron being accelerated across potential of 1V,but electrons cant accelerate instantly since they have mass.In the ideal scenario that the electrons begins at the surface of negatively charged electrode a fly straight towards positive electrode,will it gain 100 eV considering the gap is only 100 micron?
How fast can the electron accelerate,isnt the 100 micron gap with 100V potential just too small to give the electron the full 100eV energy? I mean consider the extreme case,that electron is between electrodes 1 nm apart and there is potential 1 giga volts,the electron wouldnt go from being stationary to 1 giga eV energy in 1 nano meter distance.
How can I calculate if the electron can gain the full potential energy in specific gap distance and voltage combinations? I want to look at gap distance,voltage,and tell how much energy can electron have in those gap spaces.
I would like to have some kind of rule of thumb in my head,something like a electron will go from zero to 1000 km/h in 1mm gap with 100V potential in 1 microsecond or something like that.