Lab Report Day Seventeen - RLC Circuit Response

RLC Circuit Response

This lab will emphasize modeling and testing of a second order circuit containing two resistors, a capacitor, and a n inductor. In this assignment, the step response of the given circuit is analyzed and tested. The measured response of the circuit is compared with expectations based on the damping ratio and natural frequency of the circuit. 

We built the circuit with a 1.1Ω resistor, a 47 Ω resistor, a 10uF capacitor and a 1 uH inductor. 47 ohm resistor and the inductor are in series while they are in parallel with the other components in the circuit.

 

This is the set up for the circuit. 

 

This is the input of our power. It is a square wave at frequency at 100 Hz, and amplitude of 2V at offset 0

This is the graph for V.

In the lab, the 47 ohm resistor has a real value of 49 ohm. The 1.1 ohm resistor has a real value of 4.3 ohm. The 10 uF capacitor has a real value of 9.92 uF, and we cannot measure the 1 uH inductor.  (In the picture, the 1 uF should be 1 uH.)

We calculated our experimental value of α to be 3588.7, while our theoretical value is 1063.8. It has a precent difference of -237.4%. 

 

Summary:

Today we learn how to analyze circuits containing a resistor, capacitor and an inductor in parallel. There are three possible cases that may occur in a RLC circuit which include over damped, underdamped, or critically damped. We also do a lab about RLC circuit response. In this lab we get large percent error between theoretical and experimental values. It may result from not measuring the data correctly and not correctly inputting the values.