A parallel plate capacitor is connected to a DC battery supplying a constant DC voltage V0= 600V via a resistor R=1845MΩ. The battery has been connected for a long time. Each plate has an area A=58.3 m2 . The left plate is at ground potential and the right plate is at positive potential. The separation between the capacitor plates is D= 0.3m and all the points in the picture are far from the edges of the plates. The capacitor is placed on board of a space station where there is no gravity present.

→X

In the coordinate system shown in the picture (x is a "horizontal" axis, y is "vertical" although names are purely conventional since there's no gravity), where all lengths are in meters, a positive charge q=3e-05C and mass m=0.4g has been placed directly in point C(0.25,12) and let go. What is the speed, v, of that charge when it reaches point A(0.05,12)?

How long would it take the charge to reach point A?

Which of the following graphs best represents the horizontal speed of your charge as function of time?

fly3fly4fly2fly6fly5fly1

You decided to repeat the experiment but this time you place the same charge in point C first, and then connect the same power supply to the capacitor via the same resistor to charge it. Do not overcomplicated things: assume that the effect of any magnetic fields is negligible. Assuming that the axes scale on all graphs are the same what is the graph that best represents the horizontal speed of your charge as function of time in this experiment?

fly4fly1fly5fly2fly3fly6

To verify your qualitative reasoning calculate the speed of your charge in your second experiment after the same interval of time it took your charge to move from point C to point A in the first experiment. This is quite a challenging question so don't get disappointed if your group can't get the correct answer.