Difference between revisions of "TF EIMLab5 Writeup"

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(Created page with 'LC Resonance circuits =The LC cicuit= 200 px #Design a '''parallel''' LC resonant circuit with a resonant frequency between 50-200 kHz. use <math>L<…')
 
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=The LC cicuit=
 
=The LC cicuit=
 
[[File:TF_EIM_Lab5_LC.png| 200 px]]
 
[[File:TF_EIM_Lab5_LC.png| 200 px]]
#Design a '''parallel''' LC resonant circuit with a resonant frequency between 50-200 kHz.  use <math>L</math> = 10 - 100 <math>\mu H</math>, R = 1k <math>\Omega</math> .
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1.) Design a '''parallel''' LC resonant circuit with a resonant frequency between 50-200 kHz.  use <math>L</math> = 10 - 100 <math>\mu H</math>, R = 1k <math>\Omega</math> .
#Construct the LC circuit using a non-polar capacitor
+
 
#Measure the Gain <math>\equiv \frac{V_{out}}{V_{in}}</math> as a function of frequency. (25 pnts)
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{| border="1"  |cellpadding="20" cellspacing="0
#Compare the measured and theoretical values of the resonance frequency (<math>\omega_{L}</math>) (10 pnts)
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|-
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| Element || Value
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|-
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|L ||  33 \mu H
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|-
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|C|| 1.024 \mu F
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|-
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|R ||1 k \Omega
 +
|-
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|R_L ||2 k \Omega
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|-
 +
|}
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 +
 
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2.Construct the LC circuit using a non-polar capacitor
 +
 
 +
3. Measure the Gain <math>\equiv \frac{V_{out}}{V_{in}}</math> as a function of frequency. (25 pnts)
 +
 
 +
4. Compare the measured and theoretical values of the resonance frequency (<math>\omega_{L}</math>) (10 pnts)
  
 
==Questions==
 
==Questions==

Revision as of 15:51, 27 March 2011

LC Resonance circuits

The LC cicuit

TF EIM Lab5 LC.png 1.) Design a parallel LC resonant circuit with a resonant frequency between 50-200 kHz. use [math]L[/math] = 10 - 100 [math]\mu H[/math], R = 1k [math]\Omega[/math] .

Element Value
L 33 \mu H
C 1.024 \mu F
R 1 k \Omega
R_L 2 k \Omega


2.Construct the LC circuit using a non-polar capacitor

3. Measure the Gain [math]\equiv \frac{V_{out}}{V_{in}}[/math] as a function of frequency. (25 pnts)

4. Compare the measured and theoretical values of the resonance frequency ([math]\omega_{L}[/math]) (10 pnts)

Questions

  1. What is the bandwidth of the above circuit? (5 pnts)

The RLC cicuit

TF EIM Lab5 RLC.png

  1. Design and construct a series LRC circuit.
  2. Measure and Graph the Gain as a function of the oscillating input voltage frequency. (25 pnts)
  3. Measure and Graph the Phase Shift as a function of the oscillating input voltage frequency. (25 pnts)

Questions

  1. What is the current [math]I[/math] at resonance? (5 pnts)
  2. What is the current as [math]\nu \rightarrow \infty[/math]? (5 pnts)


Forest_Electronic_Instrumentation_and_Measurement