Capacitor Lab PHYS 421 Lab Group Members: You will be using this phet simulation: https://phet.colorado.edu/en/simulations/capacitor-lab You can also download the simulation from Canvas. We will be working with the simulation on the "Introduction" tab. View 10'13 X 102 Plate Charges Capacitance-meter Charge -meterElectric Field Lines -O- Meters Capacitance Disconnect Battery Plate Charge Stored Energy Capacitance Plate Charge (top) Voltmeter Separation 0.89x10 F 0.13x10 -C Electric Field Detector 10.0 mm Reset All Plate Area 1.5V 100.0 mm 2 ? V Voltmeter - OV -1.5 V Note that the simulation uses units of mm for distance and mm for area. You will need to convert to m and me.Preliminaries 1. Find an expression for the slope, s, of the graph of C (on the vertical axis) vs. A (horizontal axis). Start with C : . You do not need any data points to do this. This is a theoretical derivation and does not require data points. Show your work: 2. Find an expression for the slope, s, of the graph of C (on the vertical axis) vs. % (horizontal axis). Start with C 2 . You do not need any data points to do this. This is a theoretical derivation and does not require data points. Show your work: 3. Find an expression for the slope, s, of the graph of Q (on the vertical axis) vs. V (horizontal axis). Start with Q = CV . You do not need any data points to do this. This is a theoretical derivation and does not require data points. Show your work: Experiment 1. Capacitance and Area C : iiiA Set the battery voltage to 1.5 Volts. In this part the distance, d, between the plates is kept constant d =10.0 mm and the area of the plates is changed. You are to record the values for area (in m2) and the capacitance C (in F). Take at least eight values of A and C, and record in an EXCEL Data Table. (a) Use Excel to plot C (on the vertical axis) vs. A (horizontal axis). Use at least 3 data points. (b) Create a trendline and include this with your graph. Adjust the number of decimal places used in the trendline equation so you have numbers that go two past the decimal point, to the hundredths place. (c) Use the slope of the line and your first answer in the preliminaries to nd your experimental value for 8()_ Include the correct units. a. Calculate the percentage difference between your experimental value for a) and the theoretical value of a} = 8.85X10'l2 F/m. experimental a) = experlmental - theoretical x 100% percent difference : theoretical 2. Capacitance and distance C : : In this part the area, A, of the plate is kept constant A: 100 mm:1 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 record in an EXCEL Data Table. (a) Use Excel to plot C (on the vertical axis) vs. 1 (horizontal axis). Use at least 8 data at points. (b) Create a trendline and include this with your graph. Adjust the number of decimal places used in the trendline equation so you have numbers that go two past the decimal point, to the hundredths place. (c) Use the slope of the line and your second answer in the preliminaries to nd your experimental value for so. Include the correct units. (d) Calculate the percentage difference between your experimental value for a; and the theoretical value of .51). Show your work: experimental a] 2 percent difference = Capacitance and Charge & Voltage: Q = CV (a) Set the value of the capacitor to C = 0.89 x1013 F. This can be achieved by setting the area to 100.0 mmz' and the plate separation to 10.0 mm. (b) You will vary the battery voltage and record Q (on top plate) and V of the capacitor. Use at least 8 data points in your data table. Include negative values for V. Note that the charge meter only gives the magnitude of Q. Be sure to look at the sign of the charge on the top plate to know when it is negative. (c) Use Excel to plot Q (on the vertical axis) vs. V (horizontal axis). Use at least 8 data points. ((1) Create a trendline and include this with your graph. Adjust the number of decimal places used in the trendline equation so you have numbers that go two past the decimal point, to the hundredths place. (6) Use the slope of the line and your third answer in the preliminaries to find a value for C. Include the correct units. (1) Calculate the percentage difference between your experimental value for C and the theoretical value of Clh = 0.89x10'l3F. experimental C : percent difference = You will turn in the following: 1. This handout 2. Three EXCEL Data Tables - follow proper format 3. Three EXCEL Graphs - follow proper format