8.2 Capacitors in Series and in Parallel

What is the maximum capacitance you can get by connecting three $1.0 - \mu \text{F}$ capacitors? What is the minimum capacitance?

A 4.00-pF is connected in series with an 8.00-pF capacitor and a 400-V potential difference is applied across the pair. (a) What is the charge on each capacitor? (b) What is the voltage across each capacitor?

Suppose you need a capacitor bank with a total capacitance of 0.750 F but you have only 1.50-mF capacitors at your disposal. What is the smallest number of capacitors you could connect together to achieve your goal, and how would you connect them?

What total capacitances can you make by connecting a $5.00 - \mu \text{F}$ and a $8.00 - \mu \text{F}$ capacitor?

A $2.0 - \mu \text{F}$ capacitor and a $4.0 - \mu \text{F}$ capacitor are connected in series across a 1.0-kV potential. The charged capacitors are then disconnected from the source and connected to each other with terminals of like sign together. Find the charge on each capacitor and the voltage across each capacitor.