Lab 5 TF EIM: Difference between revisions
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#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> (Note <math>R_L</math> is the inherent resistance of the inductor). | #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> (Note <math>R_L</math> is the inherent resistance of the inductor). | ||
#Construct the LC circuit using a non-polar capacitor | #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 when r=0. ( | #Measure the Gain <math>\equiv \frac{V_{out}}{V_{in}}</math> as a function of frequency when r=0. (25 pnts) | ||
#Measure the Gain when an external resistance (r) approximately equals to the inherent resistance of the rf choke <math>r \approx R_{L}</math>. ( | #Measure the Gain when an external resistance (r) approximately equals to the inherent resistance of the rf choke <math>r \approx R_{L}</math>. (25 pnts) | ||
#Compare the measured and theoretical values of the resonance frequency (<math>\omega_{L}</math>) (10 pnts) | #Compare the measured and theoretical values of the resonance frequency (<math>\omega_{L}</math>) (10 pnts) | ||
Revision as of 04:36, 2 February 2011
LC Resonance circuits
The LC cicuit
- Design a parallel LC resonant circuit with a resonant frequency between 50-200 kHz. use [math]\displaystyle{ L }[/math] = 10 - 100 [math]\displaystyle{ \mu H }[/math], R = 1k [math]\displaystyle{ \Omega }[/math] (Note [math]\displaystyle{ R_L }[/math] is the inherent resistance of the inductor).
- Construct the LC circuit using a non-polar capacitor
- Measure the Gain [math]\displaystyle{ \equiv \frac{V_{out}}{V_{in}} }[/math] as a function of frequency when r=0. (25 pnts)
- Measure the Gain when an external resistance (r) approximately equals to the inherent resistance of the rf choke [math]\displaystyle{ r \approx R_{L} }[/math]. (25 pnts)
- Compare the measured and theoretical values of the resonance frequency ([math]\displaystyle{ \omega_{L} }[/math]) (10 pnts)
Questions
- Determine the value of [math]\displaystyle{ R }[/math] needed to have [math]\displaystyle{ V_{out} \approx V_{in} }[/math] at resonance. (5 pnts)
The RLC cicuit
- Design and construct a series LRC circuit.
- Measure and Graph the Gain as a function of the oscillating input voltage frequency. (25 pnts)
Questions
- What is the current [math]\displaystyle{ I }[/math] at resonance? (5 pnts)
- What is the current as [math]\displaystyle{ \nu \rightarrow \infty }[/math]? (5 pnts)