a) Assuming an infinite plate capacitor model, determine the force on an electron between the plates. b) Find the change in potential energy of a negatively charged object of -2 nC as it moves from the -3 V plate to the -12 V plate. What kind of system is this? Why? c) Find the voltage and potential energy of this object when its 1 cm away from the -12 V plate. Note voltage should take into account one of the voltages of the plates. d) Now let's assume V(x) = -13 + e57.6x (V) from the -12 V plate to -3 V plate. Sketch this function and compute and sketch the corresponding Electric Field. Hint: Use values at 0, 1 cm, 2 cm, 3 cm and 4 cm to get an idea of the exponential function shape.