Consider an evacuated cylindrical chamber of hight h rigid conducting plates at the ends and an insulating curved surgace as shown in the figure. A number of spherical balls madeof a light weight and soft material and coagted with a conducting material are placed on the bottom plate. The balls have a radius `rltlth`. Now a high voltage source (HV) is connected across the conducting plates such that th ebottom plate is `at+V_(0)`and the top plate `at-V_(0)`. Due to their conducting surface the balls will get charged, will become equipotential with the plate and are repelled by it. The balls will eventually collide with the top plate, where the coefficient of reatitution can be taken to be zero due to the soft nature of the material of the balls. The electric field in the chamber can be considered to be considered to be that of a parallel plate capacitor. Assume tht there are no collisions between the balls and the interaction between them is negligible. (Ignore gravity)
The average current in the steady state registered by the ammeter in the circuit will be
A. proportional to `V_(0)^(2)`
B. proportional to `V_(0)^(1//2)`
C. proportional to the potential `V_(0)`
D. zero
