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 $L$ = 10 - 100 $\mu H$, R = 1k $\Omega$ .
2. Construct the LC circuit using a non-polar capacitor
3. Measure the Gain $\equiv \frac{V_{out}}{V_{in}}$ as a function of frequency. (25 pnts)
4. Compare the measured and theoretical values of the resonance frequency ($\omega_{L}$) (10 pnts)

Questions

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

From the plot above we have $\left(\frac{V_out}{Vin} = 0.0138 \right)_{max}$

The bandwidth defined as the width from $\omega_1$ to $\omega_2$ where the amplitude of signal drop down to $\frac{1}{\sqrt{2}}$. At this point $\left(\frac{V_out}{Vin} = \frac{0.0138}{\sqrt{2}} \right) = 0.00976$. Let's plot this line and calculate the bandwidth.

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. (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 $I$ at resonance? (5 pnts)
2. What is the current as $\nu \rightarrow \infty$? (5 pnts)

Forest_Electronic_Instrumentation_and_Measurement