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Why direct current (DC) can be stored but alternating current(AC) can not be?

Current means flow of charge per unit second.

Any flow cannot be made stationary. Then it is not flow.

Hence both direct current and alternating current cannot be stored.

We can store only charges.

In capacitors we store charges and not current.

For storing we use direct supply or direct voltage

When a capacitor is connected to a battery, which is a source of direct voltage, each plate of the condenser get charged. Charges remain in the plates. No current flows in between the plates.

When the source is removed, there are some charges left in the plates.

We say that charges are stored in the plates.

If an alternating source of supply is connected in between the plates,every instant ,the charges in the plates are alternating and they are not stationary.

When ac supply is removed, all the charges move out of the plates and hence no charge is left in them.

Hence charges can be stored with dc supply and not with ac supply.

However as long as the ac is connected to the capacitor, the capacitor gets stored and emptied with the frequency of the ac supply.

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