Combination of Capacitors

Obtain the equivalent capacitance of the network in figure shown. For a $300 \mathrm{V}$ supply, determine the charge and voltage across each capacitor.

An electrical technician requires a capacitance of $2 \mathrm{\mu F}$ in a circuit across a potential difference of $1\mathrm{kV}$. A large number of $1 \mathrm{\mu F}$ capacitors are available with him. Each of which can withstand a potential difference of not more than, $400 \mathrm{V}$. Suggest a possible arrangement that requires minimum number of capacitors to achieve the required combination.

In a parallel plate capacitor with air between the plates, each plate has an area of  $6\times {10}^{-3^{}} {\mathrm{m}}^2$ and the distance between the plates is $3 \mathrm{mm}$. Calculate the capacitance of the capacitor. If this capacitor is connected to a $100 \mathrm{V}$ supply, what is the charge on each plate of the capacitor?

Three capacitors of capacitances $2 \mathrm{pF}, 3 \mathrm{pF} \mathrm{and} 4\mathrm{pF}$ are connected in parallel. Determine the charge on each capacitor if the combination is connected to a $100 \mathrm{V}$ supply.

Three capacitors of capacitances $2 \mathrm{pF}, 3 \mathrm{pF} \mathrm{and} 4\mathrm{pF}$ are connected in parallel. What is the total capacitance of the combination?

Three capacitors each of capacitance $9 \mathrm{pF}$ are connected in series. What is the potential difference across each capacitor if the combination is connected to a $120 \mathrm{V}$supply?

Three capacitors each of capacitance $9 \mathrm{pF}$ are connected in series. What is the total capacitance of the combination?