PHY 2092 Section 4 Experiment 7: RC Circuit Drew Walenty Date Performed: 10/19/2022 Due: 10/26/2022 Lab Partner: Riley Wagner GSA; Noufel Maalal Introduction: This lab always students to view how capacitors and resistors work with and against each other in different ways. Students went through multiple procedures to view these things. In the first part students constructed a series using a resistor and a capacitor. This allowed students to measure the voltage changes that went along with time. In part 2 students made their own capacitor from two small plates and a sheet of plastic. Finally students used an oscilloscope to measure the time constant of different RC series circuits. Data: Part 1: Time (s) 0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 Volts (V) ln(V) 5.06 1.62136648 4.6 1.5260563 4.3 1.45861502 4.07 1.403643 3.87 1.35325451 3.7 1.30833282 3.561 1.2700414 3.428 1.231977 3.3 1.19392247 3.204 1.16440003 3.093 1.12914149 2.985 1.09359975 2.89 1.0612565 2.806 1.03175998 2.715 0.99879195 2.644 0.97229292 2.568 0.94312739 2.492 0.9130856 2.427 0.88665593 2.362 0.85950872 100 105 110 115 120 125 130 2.303 2.247 2.19 2.132 2.089 2.036 2 0.83421262 0.80959599 0.78390154 0.75706051 0.73668548 0.7109871 0.69314718 Time Constant (theo) (Ohm*F) 120 Error in resistance (Ohm) 1.2 Error in Capacitance (F) 0.2 Error in Time Constant 24.02998127 Time Constant (Exp) 151.5151515 This is the time constants for part 1. This table shows the voltage drops along with time of the series. Part 2 Touching the capacitor rounds out the shark fin. Insulating causes the curve to flatten a little. Touching causes the wave to flatten completely. Natural Log of Voltage Vs. Time 1,8 1,6 Voltage (ln(V)) 1,4 1,2 1 0,8 0,6 0,4 y = -0,0066x + 1,4937 0,2 0 0 20 40 60 80 100 120 140 Time (s) This is the natural log graph of voltage vs the time. Part 3 increasing resistance increases the time constant and makes the fin smaller increasing capacitance increases the time constant and makes the fin smaller Trail Resistance Capacitance Time Constant Time Constant (ohm) (microF) Capacitance (F) (Theo) (Exp) 1 20,000 0.01 0.00000001 0.0002 0.00016 2 40,000 0.022 0.000000022 0.00088 0.00028 3 10,000 0.22 0.00000022 0.0022 0.00016 This tables shows the different trials from part three as well as the time constants. d Error in d Capacitance Uncertainty 40 2 10% 600 2 Resistance Uncertainty 2040 2 1% This tables shoes the values of the errors in the experiment. This is the graph for trial one. This is the graph for trial two. This is the graph for trial 3. Data Analysis: T=RC Time constant= 20000*0.00000001= .0002 Discussion: The physics of the experiment is viewed all through an RC circuit. An RC circuit is a series that contains a resistor and a capacitor. This circuit is what the whole lab was based off of because it allowed students to view how these circuits acted with different amount of resistance and capacitance in them. This lab didn’t have any major errors the main error would be human error when students timed the voltage drops. You can’t get perfectly accurate results due to just trying to look at the times on the videos. The largest experimental error in the first part of the experiment is when students had to use a video to time how long it took the series to drop to 2.0 volts. The difference in the Vc and Vr is due to the order of the resistor and capacitor. When the resistor is first it starts low and rises through the capacitor. When they are switched the graph starts high through the capacitor and drops through the resistor. Conclusion: In conclusion this experiment was another success as students were able to see how these RC circuits work and what causes certain changes. We also saw how these circuits held voltage when disconnected from power. We had minimal errors, and this experiment was another success. My lab partner Riley was a big help as we worked very well together.