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.
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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.