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Given a circuit containing both an AC voltage source and an capacltor, the magnitude of the impedance of the capacitor will increase if the frequency of the source is increased.

True
False

User Rcl
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1 Answer

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Final answer:

The statement given is false; the capacitive reactance decreases as the frequency increases, leading to a smaller effect on the overall impedance in an AC circuit.

Step-by-step explanation:

The statement that the magnitude of the impedance of the capacitor will increase if the frequency of the source is increased is false. In an AC circuit, the reactance of a capacitor (Xc) is inversely proportional to the frequency (f) of the voltage source. As the frequency increases, the capacitive reactance decreases. This is because a capacitor passes more current as the frequency of the AC voltage applied to it increases, behaving almost like a short circuit at very high frequencies. This means that at higher frequencies, the capacitor has a smaller effect on the overall impedance of the circuit.

User Jsingh
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