A capacitor has initial capacitance C. A dielectric of dielectric constant 4 is pushed between the plates so that it covers a quarter of the capacitor’s area. What is the new capacitance in terms of C?

A capacitor is charged to 12V and disconnected from the battery. Its plates are then pushed together such that their new separation is half as big as initially. What is the new potential difference across the capacitor?

A capacitor is charged to 3V, 12 μF using a 3V power supply. It is then disconnected and re-connected to a 6V power supply, where it continues charging. Assuming that the capacitor does not break down, what is the work done as it charges from 3V to 6V?

A capacitor C_{1} of capacitance C is connected to a 12V source and allowed to charge fully. It is then disconnected from the source and connected with an uncharged identical capacitor C_{2}. How much charge, in terms of C, is now on C_{2}? What is the new potential difference across C_{1}?

A capacitor C_{1} of capacitance C is connected to a 6V source and allowed to charge fully. It is then disconnected from the source and connected with an uncharged identical capacitance C_{2 }of capacitance C/2. How much charge, in terms of C, is now on C_{2}?

A capacitor C_{1} of capacitance C is connected to a 10V source and allowed to charge fully. A capacitor C_{2} of capacitance 3C/4 is connected to a 12V source and allowed to charge fully.

- The two are then connected with their positively-charged plates touching. How much charge are on capacitors C
_{1}and C_{2}each? - Should the two have been connected with oppositely-charge plates touching, how much charge would have been on capacitors C
_{1}and C_{2}each?

Three capacitors C_{1}, C_{2}, and C_{3} with respective capacitances of 6 μF, 12 μF and 10 μF are connected in series across a 14V supply.

- How much charge accumulates on C
_{2}? - What is the potential difference across C
_{3}?

The three capacitors are now disconnected. C_{1}’s positive plate is connected to touch C_{2}’s negative plate. C_{3}’s positive plate touches C_{2}’s positive plate, and C_{3}’s negative plate touches C_{1}’s negative plate.

- What is the total capacitance of C
_{1}and C_{2}? - How much charge accumulates on C
_{3}? - What is the voltage across C
_{1 }and C_{2 }combined? - What is the voltage across C
_{1 }alone? - How much energy is stored in C
_{1}?

A uncharged capacitor of capacitance 6 μF is connected to a 6V battery and a 2Ω resistor. In the midst of charging, it holds 2.4·10^{-5} C of charge. How much time has passed since it began charging?

A capacitor of capacitance C and initial charge Q_{i} is connected in series with a 6V power supply and a 2Ω resistor.

- What is the potential difference across the capacitor?
- Assume that the potential difference across the capacitor is smaller than 6V. Is the capacitor charging or discharging?

An uncharged capacitor of capacitance 6 μF is connected in series with a 10V power supply and a 3Ω resistor. What is the maximum amount of charge in can attain in this circuit? What is the time taken for it to charge up to half this amount?