Figure 2 For parts of all problems below labeled \"Numeric,\" use the values Vi] = 5 V, m = 3 cm, {1' = 0.2 mm, and r; = 2.5. For all other parts, express your answers symbolically. (a) What are the capacitances C], (3'2 and the equivalent. capacitance C of the circuit. b Numeric. Calculate the value of C. Am: C = 1.54 x 10'1" ( (c) What are the charges Q1 and Q2 on the two capacitors, and what are the corresponding charge densities 0'1 and (72 on the upper plates of the capacitors? (d) What are the energies U1 and U2 stored in the two capacitors? (9) Find the electric elds at the following points: (i) P1, which is in the middle of Cl. (ii) '2, which is in the empty part of Cg at a height 2 = 3d/4 above the bottom plate of Cg. (iii) P3, which is inside the dielectric of 02 at a height 2 = (1/4 above the bottom plate of C2. (f) What are the induced charge densities amp and motto,\" on the two surfaces (top and bottom) of the dielectric? Express your answers in terms of 02