EXERCISES

Three capacitors each of capacitance $9 \mathrm{pF}$ are connected in series. 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 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 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.

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?

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 $3 \mathrm{mm}$. This capacitor is connected to a $100 \mathrm{V}$ supply. Explain what would happen if in the capacitor given a $3 \mathrm{mm}$ thick mica sheet (of dielectric constant$=6$) were inserted between the plates (a) while the voltage supply remained connected, (b) after the supply was disconnected. Take, ${\epsilon }_0 =8.854\times {10}^{-12} {\mathrm{N}}^{-1} {\mathrm{m}}^{-2 }{\mathrm{C}}^2$.

A $12 \mathrm{pF}$ capacitor is connected to a $50 \mathrm{V}$ battery. How much electrostatic energy is stored in the capacitor?

A $600 \mathrm{pF}$ capacitor is charged by a $200 \mathrm{V}$ supply. It is then disconnected from the supply and is connected to another uncharged $600 \mathrm{pF}$ capacitor. How much electrostatic energy is lost in the process?