26. Capacitors & Dielectrics

Initially, the switch in FIGURE P26.61 is in position A and capacitors C₂ and C₃ are uncharged. Then the switch is flipped to position B. Afterward, the voltage across C₁ is 4.0 V. What is the emf of the battery?

The label rubbed off one of the capacitors you are using to build a circuit. To find out its capacitance, you place it in series with a 10 μF capacitor and connect them to a 9.0 V battery. Using your voltmeter, you measure 6.0 V across the unknown capacitor. What is the unknown capacitor's capacitance?

You have two identical capacitors and an external potential source. (a) Compare the total energy stored in the capacitors when they are connected to the applied potential in series and in parallel. (b) Compare the maximum amount of charge stored in each case. (c) Energy storage in a capacitor can be limited by the maximum electric field between the plates. What is the ratio of the electric field for the series and parallel combinations?

In Fig. E24.20

, C1 = 6.00 uF, C2 = 3.00 uF, and C3 = 5.00 uF. The capacitor network is connected to an applied potential Vab. After the charges on the capacitors have reached their final values, the charge on C2 is 30.0 mC. (a) What are the charges on capacitors C1 and C3? (b) What is the applied voltage Vab?

Figure E24.14

shows a system of four capacitors, where the potential difference across ab is 50.0 V. (c) How much charge is stored in each of the 10.0-uF and the 9.0-uF capacitors?

Figure E24.14

shows a system of four capacitors, where the potential difference across ab is 50.0 V. (b) How much charge is stored by this combination of capacitors?