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.
Respond to this Question
Similar Questions

physics
A source of e.m.f 110v and frequency 60hz is connected to a resistor, an indicator and a capacitor in series. When the current in the capacitor is 2A.the potential difference across the resistor is 80v and that across the inductor … 
physics
at 3.68100017 kHz the reactance in a circuit of a 9 uF capacitor and an inductor are equal in magnitude. what is the value of the inductor? 
physics
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? 
physics please help!!
1. A 26.0Ω resistor, a 12.0µF capacitor, and a 17.0mH inductor are connected in series with a 150V generator. (a) At what frequency is the current a maximum? 
Physics Help!!
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? 
Physics
A 50 ohm resistor is connected in series with a 0.2 H inductor, a 40 microFarad capacitor, and an AC Generator yielding 120 v (RMS) at 60 Hz. Find A) the inductive reactance b) the capacitive reactance and c) the total reactance, the … 
Physics
A circuit is composed of a capacitor C=2 μF, two resistors both with resistance R=11 Ohm, an inductor L=4.00e2 H, a switch S, and a battery V=5 V. The internal resistance of the battery can be ignored . Reminder: The "L=x.xxenn … 
Physics
A circuit is composed of a capacitor C= 3 micro F, two resistors both with resistance 69 Ohm, an inductor 6.00e2 H, a switch , and a battery 25 V. The internal resistance of the battery can be ignored . Reminder: The " L=x.xxenn H" … 
Physics
A circuit is composed of a capacitor C=3 μF, two resistors both with resistance R=69 Ohm, an inductor L=6.00e2 H, a switch S, and a battery V=25 V. The internal resistance of the battery can be ignored . Reminder: The "L=x.xxenn … 
College Physics
At what frequency does the inductive reactance of a 42.0 µH inductor equal the capacitive reactance of a 42.0 µF capacitor?