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4 Multiple Choice 10 points As frequency increases in an AC circuit containing an inductor, a resistor, and a capacitor, capacitive reactance decreases and inductive impedance increases. capacitive reactance increases and inductive impedance decreases. both capacitive reactance and inductive impedance decrease. both capacitive reactance and inductive impedance increase.

Ask by Ross Chan. in the United States
Mar 12,2025

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As frequency increases, capacitive reactance decreases and inductive impedance increases.

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As frequency in an AC circuit rises, the capacitive reactance (Xc) actually decreases, as it is inversely proportional to frequency (Xc = 1/(2πfC)). Conversely, the inductive reactance (Xl) increases with frequency because it's directly proportional (Xl = 2πfL). So in this scenario, the correct relationship is that capacitive reactance decreases while inductive impedance increases. In real-world applications, this dip and climb can significantly affect circuit behavior. For instance, in tuning circuits – think radio receivers – engineers adjust frequency to ensure the right components resonate together, maximizing signal strength! Understanding this dynamic can help with everything from improving audio systems to fine-tuning any electrical circuit that utilizes inductors and capacitors.

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