10 Multiple Choice 10 points Which statement best describes how the impedance of an inductor \( Z_{L} \) is affected by increasing the frequency across the inductor? The impedance remains constant. It decreases inversely proportionally. It increases linearly. It decreases linearly.
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When the frequency increases across an inductor, the impedance \( Z_{L} \) increases linearly. This is due to the relationship \( Z_{L} = j\omega L \), where \( \omega \) is the angular frequency and \( L \) is the inductance. As the frequency rises, the reactance (or impedance) of the inductor grows, often making it more challenging for alternating current to flow through. Understanding this can be particularly useful in applications like audio electronics, where inductors filter certain frequency ranges. By designing circuits with inductors, engineers can control which frequencies are enhanced or diminished in audio signals, leading to clearer sound or specific effects based on the desired output.