1. (a)A teaching assistant connects a 3.50 V battery to the plates of a capacitor. After waiting a while, the capacitor reaches a maximum amount of 23.0 C of stored charge. What is the value of the capacitance (in F)? F(b)The capacitor is disconnected from the battery, discharged, and then connected to a 10.0 V battery. Again, a long enough time is waited for the capacitor to fully charge. How much charge (in C) is stored now? (Assume the capacitor can handle this new voltage without failing.) C

2. Consider the Earth and a cloud layer 600 m above the planet to be the plates of a parallel-plate capacitor.(a)If the cloud layer has an area of 1.0 km² = 1000000 m², what is the capacitance? F(b)If an electric field strength greater than 3.0 10⁶ N/C causes the air to break down and conduct charge (lightning), what is the maximum charge the cloud can hold? C

3. (a) When a 2.00-V battery is connected to the plates of a capacitor, it stores a charge of 23.0 C. What is the value of the capacitance? F (b) If the same capacitor is connected to a 15.0-V battery, what charge is stored? C

4. An air-filled parallel-plate capacitor has plates of area 2.20 cm² separated by 2.60 mm. The capacitor is connected to a(n) 13.0 V battery.(a) Find the value of its capacitance. pF (b) What is the charge on the capacitor? pC (c) What is the magnitude of the uniform electric field between the plates? N/C

5. Air breaks down and conducts charge as a spark if the electric field magnitude exceeds 3.00 10⁶ V/m.

(a)Determine the maximum charge Q_max (in C) that can be stored on an air-filled parallel-plate capacitor with a plate area of 2.60 10⁴ m². C(b)A 71.0 F air-filled parallel-plate capacitor stores charge Q_max. Find the potential difference across its plates (in V). V

6. A 1-megabit computer memory chip contains many 5.6 10¹⁴ F capacitors. Each capacitor has a plate area of 2.0 10¹¹ m². Determine the plate separation of such a capacitor. (Assume a parallel-plate configuration). The diameter of an atom is on the order of

10¹⁰ m = 1 .

Express the plate separation in angstroms.

7. A small object with a mass of 300 g carries a charge of 35.0 nC and is suspended by a thread between the vertical plates of a parallel-plate capacitor. The plates are separated by 5.00 cm. If the thread makes an angle of 14.0 with the vertical, what is the potential difference between the plates? V