A parallel plate capacitor with two square plates, 20.00cm on a side, separated by 0.5000mm and with only air between the plates is charged completely by a 150.0V battery. (Answer the corresponding questions below)

(a) (9 points) Calculate the Capacitance (in pF), the charge on each plate(in nC) , and the total energy density stored (in J/m'). (b) (6 points) While the battery is hooked, a teflon (k=2.000) sheet is inserted between the plates and the capacitor is allowed to reach equilibrium. Calculate (i) the excess charge that accumulates on each plate after the teflon sheet is inserted and equilibrium has been established and (ii) the electric field between the plate now. a)