LINK TO SIMULATION IS HERE: https://phet.colorado.edu/sims/html/charges-and-fields/latest/charges-and-fields_en.html

Part Il - Dipoles and Quadrupoles The principle of superposition is simply a statement that the electric field at any point is a sum of the contributions to the electric field from individual charges. The electric field is a vector quantity, so this sum requires some vector mathematics. Within the simulation, set up equal positive and negative charges (q) separated by some distance (d). This arrangement of charges is called an electric dipole, and as you might imagine, the resulting electric field is more complicated than that of the point charge. Take a few moments with the simulation, and use an E-Field sensor to explore the shape of the dipole field. Describe your observations in your laboratory notebook. At S g = E Y alla SEE\" i ua S and negative Figure 2. A dipole consists of equal positiy distance (d) charges (g) separated by s In Figure 2 above, the green line indicates a set of points equidistant from both charges. Describe the magnitude and direction of the electric field along this line. Take the point directly between the two charges as the origin and the green line as the y axis. Calculate the magnitude of the electric field at 0.5 meter intervals along this axis. As with Part |, use a spreadsheet program to plot. Within the simulation, take data at intervals other than 0.5 meters. Display both set of data on a single graph. Do your data points match the calculated curve? Does the magnitude of the dipole field follow a power law? If so, is it the same or a different power law from that of the point charge? Four Charges: Take four charges and set up a quadrupole field. Here, your origin is the point directly in the center of the charges. Without calculation or graphing, investigate the magnitude of the electric field along the green axis. Compare your observations to the results from the dipole field. What might happen with even larger collections of electrically neutral collections of charges? When writing your lab report or posting in the Discussion, be sure to include Your data, in table format The corresponding graphical display Your answers to the questions posed above, both for dipoles and quadrupoles. When writing a lab report, this should be part of your discussion section and possibly included in your conclusion section. Figure 3. Four charges creating a quadrupole field The data table is given below, along with the graphical output of the set of values. Explanation: This is the obtained data table for 0.5 meter intervals and 0.3 meter intervals: With 0.5m intervals With 0.2m intervals E1 E1 0.5 36.8 0.3 97.4 1 9.06 0.6 24.9 1.5 4.01 0.9 11.2 2 2.25 1.2 6.23 2.5 1.44 1.5 4.01 3 1 1.8 2.77 3.5 0.74 2.1 2.04 4 0.56 2.4 1.57 4.5 0.44 2.7 1.23 5 0.36 3 1 This is the combined graphical display of these data values: E1 v/sr 120 100 . 0.5m interval series 80 E1: Electric field (V/m) 60 . 0.3m interval series 40 - Power (0.5m interval series) 20 Power (0.3m interval 0 series 1 r: radial distance from charge (m) We can see that the generated power curve passes through our data points perfectly! To verify the 1/r^2 dependence, consider the value of electric field at 3 meters and 1.5 meters. Since r=3 is twice that of 1.5, according to the formula 1 72, r becomes 2r, so E becomes E/4, which means electric field should be one-fourth at 3 meters than the electric field at 1.5 meters. According to the values, Electric field at 1.5 meters is 4.01 V/m, and at 3 meters is 1 V/m, which matches our prediction