Consider a parallel plate capacitor, where the top electrode is free to move as shown by the representation below with the spring. a) What is the energy in a parallel plate capacitor as a function of capacitance C and voltage V? b) Given the energy in (a), derive the force in a capacitor in terms of C and V. c) Now write the capacitance C, as a function of Area, A and displacement x. Write in terms of the initial separation d. d) Assuming the upper capacitor electrode is suspended and free to move, show the steps on how the electrostatic force, Fe, is dependent on V, x and A. e) Is Fe attractive or repulsive? f) Now write the force Fs, in terms of the spring constant k and x. What Law is this force based upon for a suspended cantilever (or upper plate)? Does this force cause the suspended cantilever to pull toward the bottom electrode or away from it? g) What is the condition for equilibrium in terms of the sum of forces for a stationary beam. From this condition, when the beam is stationary, write V in terms of the separation x and with xo (or