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How do capacitors behave in an AC and DC circuit?

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Hint :A capacitor is an electrical energy storage device that operates in an electric field. It's a two-terminal passive electrical component. Capacitance is the term used to describe the effect of a capacitor. While there is some capacitance between any two electrical conductors in close proximity in a circuit, a capacitor is a component that is specifically intended to provide capacitance to a circuit. Originally, the capacitor was known as a condenser or condenser.

Complete Step By Step Answer:
In DC Circuits
Because a constant current cannot flow across a capacitor, capacitors are not used in DC circuits. A transient current occurs when the capacitor plates charge up when an uncharged capacitor C is placed across the terminals of a voltage V battery. When charge Q on the positive plate reaches value Q =C V, however, the current stops flowing. The electric field between the plates cancels out the impact of the electric field created by the battery at this point, and there is no further charge transfer. When a capacitor is used in a DC circuit, as soon as its plates are charged up, the capacitor essentially acts as a circuit break.
In AC Circuits
When the capacitors are linked across a DC voltage, they are charged and can be used as temporary storage devices. When the capacitors are completely charged, they will prevent any further electrons from entering the plates. As a result, once the capacitor is fully charged, it blocks DC current. When we add alternating voltage to the capacitor, it will charge and discharge at a frequency defined by the supplied AC voltage's frequency. In AC circuits, the capacitor's capacitance is determined by the frequency of the input signal, which is continually charged (or discharged).

Note :
In a DC circuit, capacitors charge gradually until the charging voltage of the capacitor equals the supply voltage. After it has been fully charged, the capacitor will not allow any additional charges to pass through it. When capacitors are linked to an AC circuit, the voltage levels in the circuit cause the charges to charge and discharge constantly. The frequency of the supply voltage affects capacitors in an AC circuit. Current leads voltage by 90 degrees in an AC capacitor circuit.