physics
posted by linds .
A 33.0mH inductor has a reactance of 2.20 kΩ.
(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?
(c) The frequency is tripled, so that the reactances of the inductor and capacitor are no longer equal. What is the new reactance of the inductor?
(d) What is the new reactance of the capacitor?

a. L = 33.0 mH = 0.033 H.
Xl = 2.2 k. Ohms = 2200 Ohms.
Xl = 2pi*F*L = 2200 Ohms.
F = 2200 / 2pi*L=2200 / (6.28*0.033h) = 10,616 Hz.
b. C = 1/(2pi*F*Xc).
C=1 / (6.28*10616*2200)=6.818*10^9 F.=
0.00682 uF.
c.Xl = 3 * 2200 = 6600 Ohms.
d = Xc = (1/3)*2200 = 733.3 Ohms.