TF EIMLab5 Writeup

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 $\Omega$ .

Element	Value
L	33 \mu H
C	1.024 \mu F
R	1 k \Omega
R_L	2 k \Omega

$\omega_0 = \frac{1}{\sqrt{L C}} = \frac{1}{33 \mu H \times 1.025 \mu F} = 172 krad/sec$

$\nu = \frac{\omega_0}{2 \pi} = 27 kHz$

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)

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