FIII: Hcl - :. . . D Micro-sort Auto-Update U'\" "" L'J'\" Iv Dielectric - Updeili: is mic,- ID L1:- tlslil u; am...\" An\" E _ h \"-1? 3 m-IP In m-lLEl VIEW :T'. r. _ ' v' Plate Charges 1 w) '9 {I I\". _ Electric Field Linea I 'r' 9) ' Meters .r Capacitance : a\" Plan: Charge Disconnect Battery 0 o u v' Stored Energy .1 Capaclunte Plate Charge (mp) Stated Energy "mm'w Electric Field Detector 0.4411042 F 0.65:10'\" c Listmp'12 J Separation Di electric (3 Material custom Dielectric Constant: S . CID 1 5 Dielectric China-Cs Hide all charges D Show all charges Show "as: (barges Reset all The capacitance of a capacitor also depends on the properties of the capacitor. Below is the physics principle that I want you to try to verify. A A C=KEOE=EE K = is the dimenSIonless dielectric constant of a nonconducting material (the dielectric) Ea between the plates. This is not to be confused with Coulombs constant lower-case k. 0 = 8.35x10-12 For a vacuum K =1. 50, if you put a dielectric with a K value of 2, then the capacitor has a value of capacitance in Farads that will be twice as large as that of a capacitor with no dielectric in it. The capacitance increases if you do any of the following things. Increase the area between the plates. You can see in the simulation below you that can move your mouse over the green arrows and make the area bigger or smaller. What happens to the Capacitance, the Plate Charge and the Stored Energy as you make the area larger? They all The Chapter 2 lab uses the following simulation. htt s: het.co|orado.edu en simulation Ie ac ca acitor-Iab The purpose of this lab is to investigate charging and discharging a capacitor. A capacitor is a little like a battery in that is stores energy. Although it is not the source of the energy like a battery. Itjust stores energy from a battery. A flash on a camera is a simple example of a capacitor. The equation for capacitance is C = Q/V Q is the magnitude of the charge on either conductor/plate, measured in Coulombs. V is the magnitude of the potential difference (voltage) across the conducting plates, measured in Volts. C is the capacitance, or the ability of a capacitor to store cha rge/energy, measured in Farads. A good capacitor can store a lot of charge with a small voltage applied to it. A capacitor stores energy by the charge stored on the plates ofthe capacitor. We can see an image of the capacitor in the simulation below. The capacitor is hooked to a battery and the battery charges the capacitor. The charge is complete when the capacitor has the same voltage as the battery as we can see below (They are both 1.5 V). Try to create this image in the lab by clicking on the meters and adding a dielectric. Take your time and make sure everything is the same as the image below. \fEo = 8.85x10-12 slope 80 = K You would divide your slope in your graph of C vs. (A/d) by the dielectric constant that you used for the capacitor. You can see that to the right in this image is 5.00 (no units because it is a multiplier for that of a vacuum. File Help Microsoft AutoUpdate Update Later Introduction Dielectric \\Multiple Capacitors Update is ready to be installed. Restart App 10-12 View- 10 - 10- Plate Charges Electric Field Lines Meters- Capacitance Plate Charge Disconnect Battery Stored Energy Capacitance Plate Charge (top) Stored Energy Voltmeter D.44x10-12 F 0.56x10 12 C 0.50*10 12 ] Electric Field Detector Separation Dielectric- 10.0 mm Material: custom 1.5 V Plate Area Dielectric Constant 5.00 1.5 % 100.0 mm Offse 0.0 mm Dielectric Charges: Hide all charges Show all charges Show excess charges Reset All Once you have solved for an experimental value for the permittivity of free space you can do a percent error using the accepted value compared to your experimental value. You will then write up a lab report just like the sample lab report from Chapter One. It should include a title, introduction, procedure, data and results, and conclusion. Please remember to use that sample lab and review the rubrics. You can also email your lab report a few days before the chapter is over and I will help you find mistakes etc. [accepted value - experimental value] %error = x100 accepted valueSo here we go... AC = KE. a A _ =E- d 'm Try to predict the y value? Our dependent variable, or the property that changes as a result of us changing other property? Try to predict the x value? The property that we have control over that change the y value? Try to predict what we would compare to the slope of our graph which is often some physical constant that we can determine and compare to an accepted value? I just wanted to give you a moment to try to do this yourself......... C =KE. =Ed Okay, so the y value is the Capacitance which is measured in Farads. The simulation already measures the capacitance in Farads which is nice. The x value could be ANY combination of (A/d). You will have to measure A and d and calculate (A/d). You could change Area and distance to any combination as long as you get 3-4 different trials with corresponding values for capacitance (please create a data table). Make sure that you convert this area from mm^2 to m^2 as we learned in previous labs that the units must all match. Here is an example: 100 mm^2 x (1m)^2 / (1000mm)^2 = 0.0001 m^2 Make sure that you convert the separation distance from mm to m. Here is an example: 10 mm x 1m/1000mm = 0.01 m Now for the slope. The slope would be the slope = KEo The physical constant that you would then solve for as your experimental value would be the permittivity of free space or co