You have a part time job as a special effects technician at a local theater. As

Question

You have a part time job as a special effects technician at a local theater. As part of the theatrical
production, the play’s director wants a light bulb to dim very slowly for dramatic effect. You design a
simple, inexpensive circuit to automatically accomplish this task: a battery, a switch, a light bulb, and a
capacitor in series. You have been asked to demonstrate different rates of dimming for the light bulb so
the director can select the one that best fits the performance. You need to determine how to adjust the
amount of time it takes for the light bulb to go out by varying the capacitance. To make a proper
comparison you make sure that the capacitor is initially uncharged.

Explanation / Answer

see when you change the capacitance of the circuit then current accordingly changes by the equation i = i0e^-t/RC now depending on capacitance and time variation you can give a dynamic effect. the power consumed in the bulb will be the amount by which it glows i^2* R is the power consumed in the bulb. This is how it works

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