26. Capacitors & Dielectrics

For the system of capacitors shown in Fig. E$24.16$, find the equivalent capacitance between $b$ and $c$.

(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.

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?

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 $C_3$?

A 2.70-μF capacitor is charged to 435 V and a 4.00-μF capacitor is charged to 525 V. These capacitors are then disconnected from their batteries. Then the positive plates are connected to each other and the negative plates are connected to each other. What will be the potential difference across each capacitor and the charge on each?

(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.]

A 2.70-μF capacitor is charged to 435 V and a 4.00-μF capacitor is charged to 525 V. What is the voltage and charge for each capacitor if plates of opposite sign are connected? [Hint: Charge is conserved.]

Find expressions for the equivalent capacitance of (a) N identical capacitors C in parallel and (b) N identical capacitors C in series.

A 6 μF capacitor, a 10 μF capacitor, and a 16 μF capacitor are connected in series. What is their equivalent capacitance?

Two capacitors connected in parallel produce an equivalent capacitance of 32.9-μF, but when connected in series the equivalent capacitance is only 5.5 μF. What is the individual capacitance of each capacitor?

Each capacitor in FIGURE CP26.83 has capacitance C. What is the equivalent capacitance between points a and b?

(II) Answer the same questions as for Problem 25, for the three plates connected as shown in Fig. 24–24. Are the two capacitors thus formed connected in series or in parallel?

What is the equivalent capacitance of the three capacitors in FIGURE EX26.27?