Lab 5 TF EIM

LC Resonance circuits

The LC cicuit

1. 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).
2. Construct the LC circuit using a non-polar capacitor
3. Measure the Gain [math]\displaystyle{ \equiv \frac{V_{out}}{V_{in}} }[/math] as a function of frequency when r=0. (20 pnts)
4. 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]. (20 pnts)
5. Compare the measured and theoretical values of the resonance frequency ([math]\displaystyle{ \omega_{L} }[/math]) (10 pnts)

Questions

1. 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

1. Design and construct a series LRC circuit.
2. Measure and Graph the Gain as a function of the oscillating input voltage frequency. (20 pnts)

Questions

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

Forest_Electronic_Instrumentation_and_Measurement