A vacuum tube diode consists of concentric cylindricalelectrodes, the negative cathode and the positive anode. Because ofthe accumulation of charge near the cathode, the electric potentialbetween the electrodes is not a linear function of the position,even with planar geometry, but is givenby V(x)=Cx4/3 where x is the distance from thecathode and C is a constant, characteristic of aparticular diode and operating conditions. Assume that the distancebetween the cathode and anode is 14.0 mm and thepotential difference between electrodes is 200 V
Determine the value of C
Obtain a formula for the electric field between theelectrodes as a function of x.
Determine the magnitude of the force on an electronwhen the electron is halfway between the electrodes
Determine the direction of the force on an electronwhen the electron is halfway between the electrodes
