1. In your completed lab report, review the recorded values in the table in Part 3. Answer and explain the following: 2. How did the charge change when the voltage supplied was changed? Compare at least three measured values for the charge. 3. Use the same three pairs of voltage and charge from your table and calculate the capacitance. Compare the calculated capacitances and answer how the capacitance changed. 4. Complete the following about the energy stored in your capacitor. . Open the simulation Capacitor Lab: Basics and change the voltage to the three values you chose in the previous prompt while keeping the area and the distance between the plates unchanged. 5. Record the value for the energy stored in the capacitor. Was the energy different? 6. Can you find a relationship between the voltage supplied and the energy stored? What is your conclusion? Review your readings in the textbook on the topic, Chapter 19, Section 19.7. Use the formula and calculate the energy for the three values of the voltage. 7. Compare the three values you have calculated with the values obtained with the simulator. Are they the same, or different? Explain. 8. Summarize your findings and post them in the discussion. Name: M5 Laboratory Report 4 Worksheet PhET Simulation: Capacitor Lab: Basics Instructions Before you start to work on this worksheet, review the M5.0 Laboratory Report 4 Instructions Submit your completed work to the M5.0 Laboratory Report 4 dropbox. See the Schedule and Course Rubrics in the Syllabus Module for due dates and grading information. Objectives: 1. Investigate the relationship between capacitance of a parallel plate capacitor and the area of the plates. 2. Investigate the relationship between capacitance of a parallel plate capacitor and the distance between the plates. 3. Investigate the relationship between capacitance of a parallel plate capacitor and the charge and voltage. 4. To determine the permittivity of free space ? and compare the experimental and the accepted value. Capacitor Lab: Basics -1.5 V 1.5 V- < < < Capacitance 0.41 pF Top Plate Charge 0.61 pC Stored Energy 0.46 pJ ************ ************ ******** ************ ****** ****** ****** ***** ******* Separation 8.0 mm Plate Area 370 mm Voltage ***********: Capacitance Light Bulb Plate Charges Bar Graphs Electric Field Current Direction PHET: Part 1: Capacitance and Area C= [?] A/d: In this part the distance, d, between the plates is kept constant d= 8.0 x10-m and the area of the plates is changing. Record the values for area (in m) and the capacitance C (in F). Take at least eight values of A and C, and then fill the table below: Part 1: Capacitance and Area C=[?] A/d: In this part the distance, d, between the plates is kept constant d= 8.0 x10-m and the area of the plates is changing. Record the values for area (in m) and the capacitance C (in F). Take at least eight values of A and C, and then fill the table below: d= 8.0 x10-3 m A (m) 0.0001 C (F) 1.1 E-13 F (1.106 10^13) 0.00015 1.7 E-13 F (1.659 x 10^13) 0.0002 2.2 E-13 F 0.00025 0.0003 (2.212 10^13) 2.8 E-13 F (2.765 10^13) 3.3 E-13 F (3.318 10^13) 0.00035 3.9 E-13 F (3.871 x 10^13) 0.0004 4.4 E-13 F (4.425 10^13) 1. Use the Vernier Graphical Analysis tool to plot the relationship between A and C. 2. Draw the best straight-line equation and determine its slope. 0.00045 0.0004 0.00035 0.0003 0.00025 0.0002 0.00015 0.0001 0.00005 A (m2) Part 1 0 1.1 E-13 F 1.7 E-13 F 2.2 E-13 F 2.8 E-13 F 3.3 E-13 F 3.9 E-13 F 4.4 E-13 F C (F) 3. From the slope, determine the value of the permittivity of free space ? . 4- Determine the percentage error using the real value ? =8.85X10-12 C/N.m lo Error Given d= 810` -3 m Slope &m=1.1 10-9 G=E A Slope (m) == E -9 = M = 1.1 x 10" Eod.x.1.1 10 - 9 -3 = 810 3 x 1.1 10-9 -12 Eo 8.8 x 10- FIM = Great value - Exp value Exact value =18.85 x 1012-8-8 10" 8.15 x 10-12 = 0.05 x 10 8.85x10 A= oo error x 100% = 0.5649 0 *100% -12 x100% 02-08-24 Part 2: Capacitance and distance C= [?] A/d: In this part the area A, of the plate is kept constant A= 370 x10-6 m and the distance d between the plates is changed. You are to record the values for distance (in m) and the capacitance C (in F). Take at least eight values of d and C, and then fill the table below by calculating (1/d): A= 370 x10-6 m d (m) 1/d (m-1) C (F) 0.002 500 1.64. E-12 0.004 250 8.2. E-13 0.005 200 6.6. E-13 0.006 167 5.5. E-13 0.007 143 4.5. E-13 0.008 125 4.1. E-13 0.010 100 3.27. E-13 1. Plot the relationship between (1/d) and C. 2. Draw the best straight-line equation and determine its slope. Field2 600 500 400 300 200 100 Part 2 0 0 0.002 0.004 0.006 0.008 0.01 0.012 Field1 3. From the slope, determine the value of the permittivity of free space ? 4- Determine the percentage error using the real value ? = 8.85 x10-12 C2/N.m -3 Given d= 8x10 m Slope &m=1.1 x 10-9 Slope (m) == E d A = M = 1.1 x 10 9 x10 Eod.x. 1.1 x 10 M = 8x103 -12 Eo = 8.8 x 10 FIM lo Error = Great Value - Exp valuel Exact value =18.85 x 10-12 *100% 8.8 x 10 -12 x100% -12 8.15 x 10 = 0.05 10-** 8.85 x 10 x100% A= oo error = 0.5649 % % 02-08-24 Part 3: Capacitance and Charge & Voltage: CV=Q 1. Connect the circuit and by changing the area A and the distance between the plates d, set the value for the capacitance C = 0.35 pF. 2. Change the value of the power supply V, then record the values for the charge Q (in C) and the potential difference V ( in V) 0.15 Capacitance from PhET C = 0.35 pF V(Volts) Q(c) 0.25 0.35 5 x 10-14 9 x 10-14 0.12 x 10-13 0.40 0.14 x 10-13 0.45 0.16 x 10-13 0.50 0.18 x 10-13 0.55 0.19 x 10-13 0.60 2.1 x 10-13 3. Plot the relationship between Q and V, using the Vernier Graphical Analysis tool, and determine the slope. 4. From the slope determine the value of C ( in pF) 5. Calculate the percentage error in your result. de 0.3538 - -0.35 x1000 0.35 11.09% C= rise Slope = ron -13 = 3.538 x 10 C= 0.3538 PE Note if the capacitance will change when the charge, or the voltage are changing. Notes: Insert the 3 graphs, your observations and conclusions in the lab report and show your calculations for % error! V (Volts) Graph 3 0.7 0.4 0.3 ; 0.6 0.5 0.2 0.1 0 5x10-14 9x10-14 0.12 x 10- 0.14x10- 0.16x10- 0.18 x 10- 0.19 x 10- 2.1 x 10- 13 13 13 Q (C) 13 13 13