Three large, parallel metal plates A, B, C, each of area …

Three lаrge, pаrаllel metal plates A, B, C, each оf area  S = 0 . 0360   m 2  and separatiоn  d = 0 . 600   m m  between neighbоring plates, are shown in Fig. 2.1. The space between the plates A and B is filled with air, i.e.  ε A B = ε 0 , and the space between the plates B and C is filled with a material of dielectric constant  κ = 3 . 00 , i.e.  ε B C = 3 . 00 ε 0 . (a) What is the total capacitance of the system involving the three large, parallel metal plates? (b) If a  12 . 0   V  of electric potential difference is applied between plates A and C as shown in Fig. 2.1, what are the magnitudes of the electric fields between plates A and B and between B and C? If an electron at plate B is released from rest, (c) what is its speed when it reaches plate A? If two large, parallel metal plates G and H, each of area  S = 0 . 0360   m 2  and separation  d = 0 . 600   m m , is shown in Fig. 2.2. If half of the gap is filled with air and another half of gap is filled with a dielectric material of dielectric constant  κ = 3 . 00 , (d) what is the total capacitance of the system and (e) what are the electric energy in the portion of the capacitor filled with air and the electric energy in the portion of the capacitor filled with a material of dielectric constant  κ = 3 . 00 ? (Note: the charge of an electron is −1.60 × 10−19 C and the mass of an electron is 9.11 × 10−31 kg; and  1   m m = 10 - 3   m .) phys2426_t1_fig2.jpg