A multilayer “film” capacitor has a maximum voltage rating of 100 V and a capacitance of 1.0 μF. It is made from alternating sheets of very thin metal foil connected together, separated by films of polyester dielectric. The sheets are 12.0 mm by 14.0 mm and the total thickness of the capacitor is 6.0 mm (not counting the thickness of the insulator on the outside). The metal foils are actually very thin layers of metal deposited directly on the dielectric, so most of the thickness of the capacitor is due to the dielectric. The dielectric strength of the polyester is about 30 x 10⁶ V/m. Estimate the dielectric constant of the polyester material in the capacitor.

Three conducting plates, each of area A, are connected as shown in Fig. 24–23. Are the two capacitors thus formed connected in series or in parallel?

(II) A 7.7-μF capacitor is charged by a 185-V battery (Fig. 24–21a) and then is disconnected from the battery. When this capacitor (C₁) is then connected (Fig. 24–21b) to a second (initially uncharged) capacitor, C₂, the final voltage on each capacitor is 15 V. What is the value of C₂? [Hint: Charge is conserved.]

(II) Suppose in Fig. 24–27 that C₁ = C₃ = 8.0μF, C₂ = C₄ = 16μF, and Q₃ = 21μC. Determine the charge on each of the other capacitors.

Which of the following statements correctly describes the equivalent capacitance $C_{\mathrm{eq}}$ of a circuit where two capacitors $C_1$ and $C_2$ are connected in series, and this combination is connected in parallel with a third capacitor $C_3$?

What is the equivalent capacitance of the following capacitors?