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How does a capacitor allow ac?

Updated: 8/18/2019
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9y ago

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A capacitor allows AC (to pass through) because capacitors resist a change in voltage. The equation of a capacitor is ...

dv/dt = i/c

... meaning that the rate of change of voltage in volts per second is equal to current in amperes divided by capacitance in farads.

The simplified explanation (using more words) is that, when a DC voltage is applied to a capacitor, it ultimately charges to that DC voltage and, at equilibirum, presents a large impedance, but when an AC voltage or step change is applied to a capacitor, it initially presents a low impedance, allowing the AC or step to pass through.

If you have an AC signal riding on top of DC, the capacitor will stabilize to an output DC offset of zero while passing the AC. This is useful, for instance, when coupling an AC signal to the input of a transistor amplifier, while allowing the base bias circuit to keep the transistor in its intended bias state, while at the same time allowing the AC signal to pass through into the transistor and be amplified.

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Q: How does a capacitor allow ac?
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