8. Disconnect a wire from the circuit and begin timing simultaneously. Record the voltage Note: Use the conversion factor 1 p. = 10" F. at 10 second intervals in Data Table 1 as the capacitor discharges to a vallage of 0 V. 21.Record the DMM resistance in MQ in Data Table S. Note: The DMM leads must remain attached to the capacitor. The capacitor and DMM form a complete circuit and the capacitor discharges through the DMM. Note: Use the conversion factor 1 MQ = 10* n. LED, B. Turn off the DMM. 22. Calculate the initial charge @ on the capacitor using the following equation: Capacitor 10. Use a computer graphing program such as EXCEL to create an x-y scatter plot with the Q = CV capacitor vollage on the yaxis versus time on the x-axis. Note: Values must be In standard SI units (Coulombs, Farads, and Volta). 11.Copy the graph as Graph 1 to Data & Analysis section. 23. Record the initial charge in UC in Data Table 3. 12. Calculate the natural log of the capacitor voltage for each time point and record in Data Table 2 Note: Use the conversion factor 1 up = 10* c. 13. Use a computer graphing program to create an x-y scatter plot with the natural log of Figure 4. Series circuit for measuring current through a capacitor. the capacitor voltage on the y-axis versus time on the x-axis. Part 2: Current Through a Charging Capacitor 5. Turn on the DMM (if equipped with the power switch). 14.Add a linear trendline to your graph and display the best fit equation. 1. Disconnect the circuit used in Part 1. B. Close the circuit by touching the red lead of the ammeter to the red wire of the Note: Only graph the In(V) value once if it is calculated more than once. connected battery holders and observe the LED and DMM reading 2. Discharge the capacitor by connecting alligator clips from a single jumper cable to the 15. Copy the graph as Graph 2 to Date & Analysis section. capacitor's two wires. Note: If nothing happens, reverse the connections at the LED and try again. If you are not able to observe the behavior because of the short time window, try again. 16. Record the capacitance of the capacitor (printed on the side of the capacitor) and the 3. Set the DMM to the 2000 pA setting so it reads as an ammeter. The capacitor must be discharged, as done In Part 2 step 2, between each trial. To initial voltage (from Data Table 1) in Data Table 3. check this, measure the voltage across the capacitor with the DMM. 4. Construct the open series circuit illustrated in Figure 4. 17.Record the slope from your best-fit equation in step 14 in Data Table 3. 7. Record your observations in Panel 1 and include _ in Data and Analysis section. A. Use one jumper cable to connect the two battery holders with batteries in place 18. Calculate the capacitor time constant + using the slope with the equation: B. Connect a second jumper cable between the black wire of the connected battery cleanup: holders with batteries and one of the LED contacts. C. Connect the third jumper cable between the second contact of the LED and one of . Disconnect the circuit. the capacitor wires. D. Connect the fourth jumper cable between the second wire of the capacitor and in the . Clean and return all HOL materials to the lab kit. black lead of the DMM. 19. Record your time constant c value in Data Table 3 20. Calculate the internal DMM resistance R using the following equation: T- RC 5/8 6/8Discharge of a Capacitor Lab Assignment Note: The capacitor can be found In your Capacitor bag. It will be labeled with the capacitance In uF. on its cylindrical body. It is the largest item In the capacitor bag. The 100 Q reslator can be found In your realstor bag. It will be labeled with the following color code: Brown, Black, Black, Black, Gold (or Silver). Objectives 2. Construct a series circuit as shown in Figure 1. The objectives of this lab are to 1. observe a capacitor as it charges and discharges. A. Use one jumper cable to connect the two battery holders with batteries in place - . determine the time constant and charge accumulation of a capacitor. connect one black wire to the other's red wire. 3. Connect a second jumper cable between the black wire of the connected battery holders and one of the 100 0 resistor wires. Background C. Connect the third jumper cable between the second wire of the 100 Q resistor Review capacitors section in Chapter 19 and 21 in your textbook and PPT slides. and one of the wires of the capacitor. Figure 2. DMM leads connected to jumper cables. Inset picture shows close-up of DMM lead-jumper cable connections. D. Connect the fourth jumper cable between the other wire of the capacitor and the Materials free end of the battery series. 5. Attach the jumper cables from the DMM to the capacitor as shown in Figure 3. Student Supplied Digital stopwatch 1.5 7 AA battery Pen or pencil Battery halder Sheet of paper 47 micro Bated Capacitor Digital multimeter Jumper cable LED Pair of safety goggles 100 0 100 Ohms Resistor resistor "Either a physical stopwatch or computeriphone app may be used ps Jong as it records to 0.01 second. Capacitor" Procedure You will complete a lab report that includes data tables, photos, graphs (if any) following the instructions given in "How to write a formal lab report". The lab report should be a single Word document. You will submit the report by using SUBMIT link given in weekly lab modules in MyHCC (Canvas) lab course. Figure 1. Series RC circuit prior to connecting the DMM to the capacitor. Figure s. Full circuit with DMM included. Part 1: Voltage of a Discharging Capacitor 3. Set the DMM to the 20 DCV setting so it reads as a voltmeter 6. Turn on the DMM and record the voltage for time 1=0 in Data Table 1. Gather the jumper cables, palletjes and holders, the 100 0 resistor, the 47 UE. 7. Place a stopwatch beside the DMM where it can be seen easily. capacitor, and the digital multimeter (DMM) and put on your safety goggles. 4. Connect two additional jumper cables to the DMM leads. See Figure 2. 1/8 2/8 B/EData Tables: Table 2: Natural Log of Voltage and Time for Discharging Capacitor Panel 1: Observations of Current through a capacitor Time (8) Natural Log of Table 1: Voltage and Time for Discharging Capacitor Voltage (V) Record your observations here. Time (s) Voltage (V) 0 10 0.02 -3.91 20 0.02 30 20 -3.91 -3.5 40 0.04 40 -3.21 0.05 -2.49 Write a complete lab report and submit in via Canvas course page and answer following questions in "Discussion" section. "Record the voltage at 10 second intervals until the capacitor discharges to a voltage of Graph 2: Natural Log of Voltage Vs Time Graph OV. Discussion: Graph 1: Voltage Vs Time Graph Voltage (V) vs Time for Discharge How did the current change when the circuit was Initially closed In Part 2 of this Voltage vs time exercise? Explain your answer by referencing Panel 1 and the definitions of a 0.05 capacitor and of current. -45 Voltage IV LGGAGA 10 40 Time It Time Table 3: Calculations Capad tango Initial Voltage Slope (G ') Time CMM Initial Charge (UF) Constant ([6) Raclctance on Capacitor (Maga Ohmc] Q.DE -D.0043 208. 4.45 4.25 47 7/8 8/B 9/8