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" T X 10'12 Plate Charges Capacitance-meter Charge -meterElectric Field Lines 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 X 1.5V 100.0 mm 2 ? V Voltmeter . OV Note that the simulation uses units of mm for distance and mm for area. You will need to convert to m and m'.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= of . You do not need any data points to do this. This is a theoretical d 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= -" . You do not need any data points to do this. This is a theoretical d 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 2 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 : TitA Set the battery voltage to 1.5 Volts. In this part the distance, d, between the plates is kept constant a! 210.0 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 8 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 80. Include the correct units. a. Calculate the percentage difference between your experimental value for a) and the theoretical value of a] = 8.8.'5x10'l2 F/m. experimental an = experimental - theoretical percent difference = x 100% theoretical 2. Capacitance and distance C : % : In this part the area, A, of the plate is kept constant A: 100 mm2 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. l (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 an and the theoretical value of a). Show your work: experimental a] 2 percent difference = Capacitance and Charge & Voltage: Q 2 CV (a) Set the value of the capacitor to C = 0.89x10'13 F. This can be achieved by setting the area to 100.0 mm2' 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. (e) 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_13F. experimental C 2 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 Submission: Be sure to follow the format for you EXCEL tables and graphs. Here is the handout on this. Graphing Format Lab Handout Ex.5. Graphing Formatpdf Graphing Format You will use EXCEL to display your graphical results. This includes both a data table and a graph. Detailed descriptions for both of these are given below. Data Table Format All data must be presented in tables as shown below. / Quantity name with units in parenthesis Simple Harmonic Motion Data R. No units needed with individual numbers since units are given at top of column Generating EXCEL Graph Follow these steps to generate the graph. Here is a link for a youtube video as well: htt s://www. outube.com/watch?v=8B8kFVNzl 8 This link is also on D2L in the EXCEL Graphing module. For the video, start at the 2:15 mark. 1. 2. Insert Charts Scatter no connecting lines (rst option) Select Data Remove any data that may appear. Click Add. Title Select Data Sourtc (Hagan tang: l Budd\" and Empty trll'. H'rin'nlal ,auqrm Aw. uh\": Info UK C. and 3. Enter graph Title in "Series name" field Edit Series ? X 4. Click Select Range for X values then highlight the Series name: values in your data to e you want on the x axis. Only Select Range Series X values: highlight number values. Click Select Range for X. Select Range Series Y values 5. Click Select Range for Y values then highlight the = (1) values you want on the y axis. Only highlight number OK values. Click Select Range for Y. 6. If the graph looks like a line, click OK. Click OK again. CHART ELEMENTS Axes Axis Titles 7. Click on + icon next to graph and select "Axis Titles" Chart Title Data Labels and "Trendline". Hover the cursor over the triangle next OError Bars to "Trendline" and select "More Options". Gridlines Legend Trendline Linear 8. Select "Display Equation on Chart" and "Display R- Exponential squared Value on Chart" Linear Forecast Two Period Moving Average 9. Click on "Axis" Title" textbooks label both axes. More Options. Include units. 10. A properly formatted graph is show on the next page. Format Trendline - X TRENDLINE OPTIONS O Logarithmic O Polynomial Order 2 + O Power Moving Average Period 2 Trendline Name Automatic Linear (sample graph) O Custom Forecast Forward 0.0 periods Backward 0.0 periods Set Intercept 0.0 Display Equation on chart Display R-squared value on chartTitle (Period) vs. Mass Equation for best fit 1.400 straight line; units of slope are s-/kg so 1.200 slope = 2.373 s-/kg 1.000 y = 2.373x + 0.0784 0.800 R2 = 0.9985 0.600 Best fit straight line R- squared value 0.400 0.200 0.000 - 0.000 0. 100 0.200 0.300 0.400 0.500 0.600 m (kg) Axes labels with units in parenthesis