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Answer :
Answer:
Current in the capacitor increases as the frequency of the generator increases
Explanation:
Xc = 1/2πfC = 1/ wC
Since frequency is inversely proportional to reactance of a capacitor,
as the frequency increases, the capacitance decreases and tend towards behaving like a wire with zero resistance as such the generator send high current to the capacitor, the current in the capacitor increases.
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Final answer:
As the frequency of the AC generator is increased, the capacitor connected to it will experience an increase in current.
Explanation:
When a capacitor is connected to an AC (alternating current) generator and the generator's frequency is increased, the reactance of the capacitor (its resistance to the flow of current) decreases, thereby leading to an increase in current flow.
It happens because capacitors impede low frequencies more, meaning that at higher frequencies, the impedance is lower. This is due to the fact that at high frequencies, the charges switch sides swiftly, and thus the capacitor doesn't get to charge fully, enabling a higher current flow.
Regarding the energy stored in the capacitor, when the frequency increases, the time for charging and discharging the capacitor reduces, which eventually causes a decrease in the energy stored in the capacitor post an initial increase.
One commonly seen application of this in everyday life is in radios where we tune to the desired station by adjusting the resonant frequency of its circuitry to match the frequency of the station.
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