Recall the demonstration in lecture where I balanced pie plates on h top of the Van de Graaff generator, turned it on, and they flew off one by one. In this question, we'll think about how we could estimate the charge on each plate. A. First we need to estimate the charge on the Van de Graaff gen- erator itself (an expression will suffice). We can do this by first rea- soning that the electric field coming off its surface reaches a maxi- mum value Eo when the air breaks down and becomes a conductor. Figure 1: Van de Graaff and pie plate.Using E0 and the radius r of the Van de Graaff dome to develop an expression for the maximum charge Q on the generator. B. Levitation is not so crazy! Imagine a plastic tube afxed to the dome to keep the pie plate centered on it and allow the pie plate to hover at a height 11 above it while the generator is going (ignore any interactions between the plate at the tube). Say the pie plate has mass m. What is an expression for the charge q on the pie plate? (Note: you might make an approximate assumption that the pie plate interacts with the dome as a point charge wouldI know, that's not a good one, but keeps things simple for now.) C. Say the Van de Graaff is turned off and discharged. How fast is the pie plate going when it hits the dome