CO PHY-252-101-2024SP: Lal X 5 Lab2.pdf X Content X S PS2 (2).pdf X Y Log in | Wake Tech X o Mail - Mahmoud Saleh - O X C File /Users/moesaleh/Downloads/Lab2.pdf F LIM Relaunch to update : M Gmail YouTube lil Courses il Content Washington, D.C. t... 0 Review Trip Detail... All Bookmarks E Lab2.pdf 1 / 5 - 75% + Introduction to Capacitors PHY 252 - Lab #2 Pre-lab Questions Complete the following pre-lab questions before beginning the lab. You will not need any online resources in this section. 1. Beginning with AV = S, E . ds, show that the charge across a parallel-plate capacitor depends on plate area (A) and plate distance (d). Justify each step. 2. The equivalent capacitance of a parallel combination of capacitors is larger than any single capacitor in the group. The equivalent capacitance of a series combination of capacitors is smaller than any single capacitor in the group. Why is this the case? 3. Using a 5/F, 6 F, and 7/F capacitor, draw a circuit diagram with an equivalent capacitance of 6.5MF. 2 4. What is the energy density of a 2.5 x 105 N/C electric field? (Be mindful of units!) 5. A parallel-plate capacitor made up of two Icm-diameter circular plates spaced 2mm apart. What dielectric material must be added to produce a capacitance of 2.57pF? Lab Procedure Visit the PhET interactive simulation titled "Capacitor Lab: Basics" (https://phet.colorado.edu/en/simulations/capacitor-lab-basics). Click on the "play" button and choose the 'Capacitance" option. Ensure that the "Top Place Charge" and "Stored Energy" options are also selected in the top window. Additionally, select "Electric Field" in the side 3 window. You should see the following: Top Plate Charge Bar Graphs Stored Energy PhET :@ PHY-252-101-2024SP: L Y Lab2.pdf | PS2 (2).pdf Login| Wake Tech b3 Mail - Mahmoud Saleh - X L c @ File /Users/moesaleh/Downloads/Lab2.pdf Q u &3 O W Relaunch to update : 1 Gmail YouTube | [N [l & Washington, D.C. t... Review Trip Detail... [ All Bookmarks Lab2.pdf VR LA . Upon opening the lab, the battery voltage should be = 0V, d = 6.0mm, and A = 200mm?. Confirm that the reported capacitance in the top window is correct. Show your calculation. . Now, slowly click and drag the voltage slider up to +1.5V. a. How does the charge on the top plate change? b. How does the stored energy change? c. How does the density of field lines change? d. Finally, consider the capacitance. Does it change as well? Why or why not? . Now, slowly click and drag the voltage slider down to 1.5V. How does the charge on the top plate change? How does the stored energy change? How does the density of field lines change? Finally, consider the capacitance. Does passing from (+) to (-) voltage cause a change? Why or why not? a. b. c. d. . Use the value of Top Plate Charge to set the battery voltage to +0.75V. What plate charge would this be? Include a screenshot of your setup. . Now, slowly click and drag the separation arrow. Move the plates from d = 10mmto d = 2mm. What do you notice about the charge and field density? Why is this the case? (You may use a conceptual OR mathematical argument. Include an equation if you take the mathematical route!) . Similarly, what happens to the capacitance as the plates are moved closer together? . Now repeat the previous two steps but vary the plate size instead. Set the plate distance back to a value of d = 6.0mm and change the plate size from A = 400mm? to A = 100mm?. 'What do you notice about the charge and field density? Why is this the case? (You may use a conceptual OR mathematical argument. Include an equation if you take the mathematical route!) Finally, record what happens to the capacitance as the plate gets larger. @ PHY-252-101-2024SP: L Y Lab2.pdf | PS2 (2).pdf Login| Wake Tech Mail - Mahmoud Saleh - X L c @ File /Users/moesaleh/Downloads/Lab2.pdf Q u &3 O W Relaunch to update : 1 Gmail YouTube | [N [l & Washington, D.C. t... Review Trip Detail... [ All Bookmarks Lab2.pdf 3 /5 LA . By changing both characteristics of the capacitor, what can be done to minimize the capacitance? What can be done to maximize the capacitance? . Now, using any configuration of your choosing such that # 0V, disconnect the capacitor from the battery. What happens to the charge on the capacitor? Is this to be expected? . Finally, aim to use this experimental setup to determine the value of the permittivity of free space, &. First, the equation of capacitance must be \"mapped\" to a linear form. Regrouping Cc= % to C = gA (%) shows a form like y = mx. Here, C and y are related, ,A and m are related, and (2) and x are related. Now that the linear relationship is established. Data must be collected for plotting. Using the experimental setup, fill out the table below using three intermediate steps between the \"maximum\" and \"minimum\" given. In the gray columns, record values from the experiment in the presented units. Convert them to base SI units in the neighboring column. This will reduce conversion errors later on! The final column is the inverse of distance, %, from the values in the base SI columns. Begin by choosing a plate area that will remain the same throughout the experiment. Convert the plate area to square meters and record the value: A = m? d (mm) d(m) | C(pF) CF) L) 2.0 0.002 0.44 89x10713 500 10.0 0.01 035 | 1.8x107% 100 Put the last two columns in Excel, listing the inverse distance in the first column and the capacitance in the second. Highlight both columns and insert a scatterplot of the data. See the example of fictitious data below. The columns can be highlighted by clicking and dragging across the headers (\"A\" and \"B\"). Next, select the \"Insert\" tab, find the scatterplot icon, and select the first scatter plot option. CO PHY-252-101-2024SP: Lal X 5 Lab2.pdf X Content X S PS2 (2).pdf x Y Log in | Wake Tech X o Mail - Mahmoud Saleh - O X C File /Users/moesaleh/Downloads/Lab2.pdf J LIM Relaunch to update : M Gmail YouTube lil Courses il Content Washington, D.C. t... 0 Review Trip Detail... All Bookmarks E Lab2.pdf 4 /5 - 75% + AutoSave . BP ? C Book! Home Insert Draw Page Layout Formulas Data Review View Chart Design Format PivotTable Recommended Table Pictures Shapes Icons 30. SmartArt Screenshot * Recommended its ~ Maps Pivotchant Chart 7 4 x Scatter Chart Title Oo Next, click on a data point in the chart, right-click, select "add trendline". The default trendline should be linear. Ensure that "Display Equation on chart" and "Display R-squared value on chart" are both selected at the bottom of the trendline window (see below) Format Trendlin 2 Chart Title Trendline Options . Exponential Linear .Logarithmic . Polynomial Order Power Moving Average Period Trendline Name Automatic Linear (Series1) Custom Forecast Forward periods 3 Backward 0.0 periods Set Intercept 0.0 Display Equation on chart Display R-squared value on chart Finally, highlight the textbox containing the equation and r-squared values. Reformat the textbox so that it shows at least two decimal places in the slope value. This can be done by selecting the "Format Trendline Label" option, changing the category to "Scientific" and then selecting the appropriate number of decimal places (see below).CO PHY-252-101-2024SP: Lal X 5 Lab2.pdf X Content X S PS2 (2).pdf X Y Log in | Wake Tech X o Mail - Mahmoud Saleh - O X C File /Users/moesaleh/Downloads/Lab2.pdf Relaunch to update : M Gmail YouTube lil Courses i Content Washington, D.C. t... 0 Review Trip Detail... All Bookmarks E Lab2.pdf 5 / 5 - 75% + Format Trendline Label Label Options Text Options Chart Title Number 2 Category Decimal places: Format Code 0.0DE +00 Add Linked to source Finally, record the linear equation for the line of best fit: y = Recall that we related slope of the linear fit to the value EA. Since m = EA, solve for Eo. Does your calculated value agree with what you expect for the permittivity of free space? If not, how 3 by how much are you off? (If necessary, calculate and report a percent error. What might have caused this error?) Upon submission include a copy of your graph. It should contain (1) a relevant title, (2) an x- axis label (with appropriate units) and a y-axis label (with appropriate units). These can be added by selecting the chart, going under the "Chart Design" tab, and adding "Chart Elements". 5