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A fundamental electronic component that stores energy in an electric field, commonly used in filtering applications.

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How do I derive capacitive reactance formula from Cdv/dt?

From your last step: $$ X_c = \frac{v}{i} = \frac{\sin(\omega t)}{C\omega \cos(\omega t)} $$ We would like to obtain the magnitude of the reactance, i.e.: $$ |X_c| = \frac{1}{\omega C} $$ To get there …
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2 votes

Op-amp circuits with capacitor in negative feedback loop instead of resistor

If it is an integrator you're talking about (or anything with capacitive feedback), then they'll normally take feedback resistor in parallel with that capacitor so that the input and output of the amplifiers …
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