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]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).
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 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]r \approx R_{L}[/math]. (20 pnts)
5. Compare the measured and theoretical values of the resonance frequency ([math]\omega_{L}[/math]) (10 pnts)

Questions

1. If r=0, show that [math]Q = \frac{1}{\omega_0 R_L C}[/math]. (10 pnts)
2. Show that at resonance[math] Z_{AB} \approx Q \omega_0 L[/math]. (10 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]I[/math] at resonance? (5 pnts)
2. What is the current as [math]\nu \rightarrow \infty[/math]? (5 pnts)

Forest_Electronic_Instrumentation_and_Measurement