d' is the variance distance of the slanted plate from the horizontal line.blackblanx said:What are you using for d' ?
To find capacitance using calculus, you need to have the formula for capacitance, which is C=Q/V, where C is capacitance, Q is charge, and V is voltage. You also need to have a function that describes the voltage across the capacitor as a function of time. Then, you can use integration to find the total charge and voltage over a specific time interval, and plug those values into the capacitance formula to find the capacitance.
The main difference is that using calculus allows for finding the capacitance of more complex systems, where the voltage across the capacitor is not constant. Additionally, using calculus can provide more precise results compared to other methods, which may rely on approximations or simplifications.
Yes, calculus can be used to find capacitance for any type of capacitor, as long as the voltage and charge can be expressed as functions of time. This includes capacitors with varying geometries, dielectric materials, and circuit configurations.
One limitation is that the function describing the voltage across the capacitor must be known or able to be determined. This may not always be possible for certain systems, making it difficult to use calculus to find capacitance. Additionally, calculus may be more time-consuming and complex compared to other methods, especially for simpler capacitor systems.
Finding capacitance using calculus is essential in designing and analyzing electronic circuits and systems. It allows for accurate prediction of the behavior of capacitors and their interactions with other components. This information is crucial in fields such as electrical engineering, physics, and other sciences that utilize capacitors in their research and applications.