A 27.0-mH inductor has a reactanceof 2.20 k. (a) What is the frequency of the ac

Question

A 27.0-mH inductor has a reactanceof 2.20 k. (a) What is the frequency of the ac current that passes through theinductor?



(b) What is the capacitance of a capacitor that has the samereactance at this frequency?



(c) The frequency is tripled, so that the reactances of theinductor and capacitor are no longer equal. What is the newreactance of the inductor?


(d) What is the new reactance of the capacitor?

(a) What is the frequency of the ac current that passes through theinductor?



(b) What is the capacitance of a capacitor that has the samereactance at this frequency?



(c) The frequency is tripled, so that the reactances of theinductor and capacitor are no longer equal. What is the newreactance of the inductor?


(d) What is the new reactance of the capacitor?

Explanation / Answer

Part a: Inductive Reactance = 2fL = 2.2 K L = 27 mH Apply the values of L f = 12968 HZ = 13 KHZ Part b: Capacitive Reactance = 1/2fC = 2.2 K Apply the value of f = 13 KHZ C = 5.579*10^-9 F Part c: If frquency is tripled then new value of inductive Reactance =3*2.2 K = 6.6 K Part d: Mew capacitive Reactance = 2.2/3 = 0.7333 K

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