Register to reply 
RLC question (complicated)by Tino
Tags: complicated 
Share this thread: 
#1
Jun1605, 09:59 AM

P: 26

I find this question very hard and i could not work out the answers, i have looked on the internet for forumals but they don't seem to work ??
Anyone got any methods to work through the question ??? I found a website that is about RLC series circuits but looking into it, it really confuses me with all the equations: http://www.tpub.com/neets/book2/4l.htm An RLC series circuit has a resonant frequency of 1.2kHz and Q factor at resonance of 50. If the impedance of the circuit is 75 ohms calculate the values of: a. the inductance vaule b. the capacitance value c. the bandwidth d. the lower and upper halfpower frequencies e. the vaules of the circuit impedance at the half power frequencies. Thanks 


#2
Jun1605, 01:31 PM

P: n/a

The resonant frequency of a LC circuit is:
[tex]\omega_0 = \frac{1}{\sqrt{LC}}[/tex] And the quality factor is: [tex]Q = \omega_0 RC[/tex] Since it is given a real value for the impedance, we must assume that this value is calculated at the resonant frequency. Z = R. So, you know ω_{0}, Q and R. You have two equations and two unknowns: L and C. 


#3
Jun2105, 04:51 AM

P: 26

ok here is the equation i used
Q = XL/R = XC/R Q x R = XL 50 x 75 = 3750 ohms Q x R = XC 50 x 75 = 3750 ohms then just use XL = 2pie FL and XC = 1 / 2pie FC transpose that !!!! L = 2pie F / XL C = 1 / 2pie F XC But one more question, what equation can i use to get the lower and upper half power frequencies ??? 


#4
Jun2105, 09:53 AM

P: n/a

RLC question (complicated)
[tex]Q = \frac {\omega_0}{\omega_2  \omega_1}[/tex] Where [tex]\omega_0[/tex] is the resonant frequency and [tex]\omega_1[/tex], [tex]\omega_2[/tex] the half power frequencies. 


Register to reply 
Related Discussions  
Complicated Incline Question  Introductory Physics Homework  8  
Can someone help me with this question, is very complicated  Introductory Physics Homework  5  
Complicated But Fun Try It See What U Get!  Introductory Physics Homework  10  
A Simple yet complicated question.  General Math  7  
Complicated Centre of Mass Question  Introductory Physics Homework  1 