Electrostatics ...

A parallel plate capacitor is connected to a battery. The plates are pulled apart with a uniform speed. If x is the separation between the plates, the time rate of change of electrostatic energy of capacitor is proportional to

Five identical plates each of area Aare joined as shown in the figure. The distance between the plates is d. The plates are connected to a potential difference of V volts. The charge on plates 1 and 4 will be

To form a composite 16µF, 1000V capacitor from a supply of identical capacitors marked 8 µF, 250V, we require a minimum number of capacitors

An infinite number of identical capacitors each of capacitance 1µF are connected as in adjoining figure. Then the equivalent capacitance between A and B is

Figure given below shows two identical parallel plate capacitors connected to a battery with switch S closed. The switch is now opened and the free space between the plate of capacitors is filled with a dielectric of dielectric constant 3. What will be the ratio of total electrostatic energy stored in both capacitors before and after the introduction of the dielectric?

A parallel plate capacitor of capacitance C is connected to a battery and is charged to a potential difference V. Another capacitor of capacitance 2C is connected to another battery and is charged to potential difference 2V. The charging batteries are now disconnected and the capacitors are connected in parallel to each other in such a way that the positive terminal of one is connected to the negative terminal of the other. The final energy of the configuration is

Consider A has a capacity of 15µF When it is filled with a medium of dielectric constant 15. Another condenser B has a capacity of 1µF with air between the plates. Both are charged separately by a battery of 100V. After charging both are connected in parallel without the battery and the dielectric medium being removed. The common potential now is

Four metallic plates each with a surface area of one side A are placed at a distance d from each other. The plates are connected as shown in the circuit diagram. Then the capacitance of the system between a and b is

A finite ladder is constructed by connecting several sections of 2µF, 4µF capacitor combinations as show in the figure. It is terminated by a capacitor of capacitanceC. What value should be chosen C such that the equivalent capacitance of the ladder between thepoints A and B becomes independent of the number of sections in between

In an isolated parallel plate capacitor of capacitance C, the four surface have charge Q₁, Q₂, Q₃, and Q₄ as shown. The potential difference between the plate is