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Usually capacitors filter out very low frequency signals. Here low frequency high time period say t and high frequency low time period are relative to the time taken by the capacitor say t1 to charge or discharge.

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A filter capacitor is a capacitor which filters out a certain frequency or range of frequencies from a circuit.

Capacitor for low frequency. At very high frequencies such as 1mhz the capacitor has a low capacitive reactance value of just 072w giving the effect of a short circuit. Z in regions with a low frequency decreases inversely with frequency similar to the ideal capacitor. It responds to different frequencies in different ways.
These are also referred to as dc signals. At very low frequencies such as 1hz our 220nf capacitor has a high capacitive reactance value of approx 7233kw giving the effect of an open circuit. A capacitor is able to block low frequencies such as dc and pass high frequencies such as ac because it is a reactive device.
These are signals that are very close to 0hz in frequency value. These are circuit blocks used to filter unwanted frequencies from input signal. So when t t1 the capacitor gets charged quite quickly and then acts as an open circuit.
Esr shows a value equivalent to dielectric loss from delay of polarization in the dielectric substance. To low frequency signals it has a very high impedance or resistance so low frequency signals are blocked from going through. Size of capacitor vs frequency it blocks i plan to do a 50hz low pass filter off my zed leviathan amp and do a quasi active and do one cap in series with the tweeter to protect it so i get the most out of my system since crossovers eat all the power and make my speakers not sound the best.
Therefore in order to make a coupling capacitor allow low frequency signals we need to use capacitors of higher values and for high frequency signals lower value of capacitors will suffice.

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