A 16.0-mH inductor has a reactance of 2.50 k. (a) What is the frequency of the ac current that passes through the inductor? (b) What is the capacitance of a capacitor that has the same reactance at this frequency?The frequency is tripled, so that the reactances of the inductor and capacitor are no longer equal. What are the new reactances of (c) the inductor and (d) the capacitor?
2.5 kΩ ? Inductive Reactance X? 2πfL ωL 2500 2πf(16m) f 2500 / (2π0.016) 24900 Hz Xc X? 1/(2πfC) 2500 2πfC 1/2500 C 1 / (2500)(2π24900) 2.56e-9 2.56 nF c) X? 2500 x 3 Xc 2500 / 3
