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I finally could understand how a capacitor can "DC block" anything. I thought that in the moment AC starts to pass and capacitor become conduct, there will be nothing obvious that would block the bias to pass along, since it's in the same "signal".

The answer is clear using this spintronics analogy.

Tension is anything wanting to move. Since the cap charge up with the input tension, eventually the tension become zero (in resistor's point of view), like force vectors pointing to each other. Any change of bias will move the resistor by the difference between input tension and capacitor tension, until equilibrium is reached again. For now on, the resistor will swing back and forth exactly the AC part of the source.



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