Physics XI | Solved Problems | Capacitors | Chapter 9

1. The capacitance of air-filled parallel-plate capacitor is 1.3 pF. If the separation of the plates is doubled and wax is inserted between them. The new capacitance is 2.6 pF. Find the dielectric constant of the wax.
2(a). Three capacitors have capacitances 10, 50 and 25 μF. Calculate charge on each and total capacitance when connected in parallel to a 250V supply.
3. Three capacitors are connected through a potential difference of 100 volts as shown in figure. Find the charges and potential difference across each capacitor.
4. Capacitor is charged through a large non-reactive resistance by a battery of constant voltage V. For this arrangement, if the capacitor has a capacitance of 10μF and the resistance is 1 MΩ, calculate the time taken for the capacitor to receive 90% of its final voltage.
5. What capacitance is required to store energy of 10 kWh at a potential difference of 1000V?
6. A 2.0 μF and 4.0 μF capacitors are connected in parallel across a 300V potential difference. Calculate the total energy stored in the capacitors.
7. A 12.0 V battery is connected to a capacitor, resulting in 54.0 μC of charge stored on the capacitor. How much energy is stored in the capacitor?