April 30 LEC circuit response

This lab we gonna 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. 

Pre lab
measured experimental value 2.9Ω resistor, a 48.6 Ω resistor, a 10.1 uF 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.

Lab circuit.

input signal

output signal 

calculations.for alpha. 

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

Summary:

We learn how to analyze the RLC circuit. we need to identify the circuit among 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. 

In this lab the experiment value is significantly different from the theoretical value, that may due to the approximation we made during calculation and inaccurate measured time and total resistance.