Capacitors are not ideal for storing energy for normal purposes of lighting and heating because they have a low energy density. Energy density is the amount of energy stored in a given volume. Capacitors have a low energy density because they store energy in the form of an electric field, and the electric field is not very concentrated.

For example, a 1 farad capacitor with a plate separation of 1 millimeter can store about 1 microjoule of energy. This is a very small amount of energy, and it is not enough to power a light bulb or a heater for very long.
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Another reason why capacitors are not ideal for storing energy is that they discharge very quickly. The discharge time of a capacitor is determined by its capacitance and the resistance of the load connected to it. The lower the resistance, the faster the capacitor will discharge.

For example, a 1 farad capacitor with a 1 ohm resistor will discharge in about 1 millisecond. This is too fast for most applications.

Despite these limitations, capacitors are still used for storing energy in some applications. For example, capacitors are used in electronic flash units to store the energy that is used to create the flash. Capacitors are also used in power supplies to smooth out the output voltage.

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Here are some of the reasons why capacitors are not ideal for storing energy for normal purposes of lighting and heating:

* Low energy density: Capacitors store energy in the form of an electric field, which is not very concentrated. This means that they can only store a small amount of energy in a given volume.
* Fast discharge rate: Capacitors discharge very quickly, which means that they cannot store energy for very long.
* High cost: Capacitors are relatively expensive, which makes them impractical for some applications.

However, capacitors do have some advantages over other types of energy storage devices, such as batteries. For example, capacitors can be charged and discharged very quickly, which makes them ideal for applications where the power needs to be pulsed, such as in electronic flash units.

Overall, capacitors are not ideal for storing energy for normal purposes of lighting and heating. However, they do have some advantages over other types of energy storage devices, and they are used in a variety of applications.