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1 Multiple Choice 10 points When subjected to a sinusoidal voltage, the impedance of an inductor \( Z_{L} \) increases linearly as the frequency of the voltage source increases. decreases inversely proportionally as the frequency of the voltage source increases. is not affected by the frequency of the voltage source. none of these.

Ask by Fernandez Mckenzie. in the United States
Mar 12,2025

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The impedance of an inductor increases linearly as the frequency of the voltage source increases.

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The impedance of an inductor is given by the formula \( Z_{L} = j\omega L \), where \( \omega \) is the angular frequency and \( L \) is the inductance. This means that as the frequency of the sinusoidal voltage increases, the impedance indeed increases linearly. So, the correct answer to your question is: "When subjected to a sinusoidal voltage, the impedance of an inductor \( Z_{L} \) increases linearly as the frequency of the voltage source increases." Now, if you're curious about how this relates to real-world applications, inductors are widely used in alternating current (AC) circuits, such as in power supplies and audio equipment, to filter signals or manage reactive power. Their frequency-dependent behavior is crucial for tuning systems like radios, where specific frequencies need to be selected or rejected. Another fun fact is that common mistakes often occur when students misinterpret reactance and resistance. Remember that the impedance of an inductor only includes the reactance component, which means at high frequencies, the inductor behaves more like an open circuit and can significantly affect signal flow! Keep this in mind when analyzing circuits involving inductors!

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