As frequency of an AC source decreases, which of the following statements is true?

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Multiple Choice

As frequency of an AC source decreases, which of the following statements is true?

Explanation:
Capacitive reactance depends inversely on frequency: Xc = 1/(2πfC). When frequency f decreases, the denominator gets smaller and Xc increases. Inductive reactance, XL = 2πfL, grows with frequency, so as frequency falls XL actually decreases. Therefore, as frequency decreases, capacitive reactance increases, making the statement about capacitive reactance increasing true. The other options describe incorrect trends for either or both reactances. A practical note: at lower frequencies a capacitor appears more resistive to AC; at higher frequencies it presents a smaller impedance.

Capacitive reactance depends inversely on frequency: Xc = 1/(2πfC). When frequency f decreases, the denominator gets smaller and Xc increases. Inductive reactance, XL = 2πfL, grows with frequency, so as frequency falls XL actually decreases. Therefore, as frequency decreases, capacitive reactance increases, making the statement about capacitive reactance increasing true. The other options describe incorrect trends for either or both reactances. A practical note: at lower frequencies a capacitor appears more resistive to AC; at higher frequencies it presents a smaller impedance.

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