**Objective:** The purpose of this lab is to experimentally
construct and verify the frequency responses of two circuits. The
circuits to be studied are the passive RLC circuit shown in Figure
1 and the active network shown in Figure 2.

**Pre-lab:**

- Determine the transfer function
*V*for the circuits shown in Figures 1 and 2 below._{o}(jω)/V_{i}(jω) - Plot the frequency responses (magnitude and phase using a
computer-based tool such as Matlab) for these circuits keeping in
mind:
- linear and/or logarithmic axes may be used as may Decibels (dB), so choose which will be easiest to replicate and verify experimentally (i.e., you will be experimentally constructing these same plots);
- ensure key regions are readily visable for meaningful comparison with experimental results; and
- the frequency responses may be significantly affected by the internal resistance of the function generator and/or impedance of the oscillocope probe, so include their effects as warranted.

**Laboratory Procedure:**

- Frequency Response of an RLC Circuit
- Construct the circuit shown in Figure 1.
- Let
*v*be a 2 V_{i}(t)_{p-p}sine wave for which you'll vary the frequency. - Use your prelab results as a guide as to what frequency range
should be used and experimentally find (via measurements) a
table of values for the frequency response (magnitude and phase)
of
*V*. Note the function generator and oscilloscope display frequency in Hertz and your plots are likely versus frequency in rad/sec, so make sure to convert in whichever way you choose to keep the units consistent. Take extra points in regions where the magnitude or phase change quickly._{o}(jω)/V_{i}(jω) - Compare your results with the calculated values plotted in the prelab by recording the experimental data on top of the calculated prelab data/plots.
- How would one describe this circuit?
- Does this passive circuit ever yield a gain larger than 1 (0dB)? If so, how is this possible?

- Construct the circuit shown in Figure 1.
- Frequency Response of an Active Circuit
- Construct the circuit shown in Figure 2.
- Let
*v*be a 2 V_{i}(t)_{p-p}sine wave for which you'll vary the frequency. - Use your prelab results as a guide as to what frequency range
should be used and experimentally find (via measurements) a
table of values for the frequency response (magnitude and phase)
of
*V*. Note the function generator and oscilloscope display frequency in Hertz and your plots are likely versus frequency in rad/sec, so make sure to convert in whichever way you choose to keep the units consistent. Take extra points in regions where the magnitude or phase change quickly._{o}(jω)/V_{i}(jω) - Compare your results with the calculated values plotted in the prelab by recording the experimental data on top of the calculated prelab data/plots.
- How would one describe this circuit?

- Construct the circuit shown in Figure 2.

Revised MAR2015