Latest revision as of 23:41, 3 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] .
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. (25 pnts)
Compare the measured and theoretical values of the resonance frequency ([math]\displaystyle{ \omega_{L} }[/math]) (10 pnts)

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

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)

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 #What is the bandwidth of the above circuit? (5 pnts)
-From the plot above we have <math>\left(\frac{V_{out}}{_{Vin}} \right)_{max} =  0.0138 </math>
-The bandwidth defined as the width from <math>\omega_1</math> to <math>\omega_2</math> where the amplitude of signal drop down to <math>\frac{1}{\sqrt{2}}</math>.
-At this point <math>\left(\frac{V_{out}}{V_{in}} \right) =  \frac{0.0138}{\sqrt{2}}  = 0.00976</math>. Let's plot this line and calculate the bandwidth.
 =The RLC cicuit=