Experiment ES2: Electrostatic Charge DistributionsIn this experiment you will accomplish the following tasks:1) Make a series of measurements of charge density on an electrically neutral sphere placed close to another sphere at 3000 volts.2) Make a series of measurements of charge density on an negatively charged sphere placed close to another sphere at 3000 volts.3) Make a series of measurements of charge density on an positively charged sphere placed close to another sphere at 3000 volts.4) Make a series of measurements of charge density on an positively charged sphere without the 3000 volt sphere nearbyYou will investigate spherical charge distributions under 4 different circumstances. You will do this by using the proof plane to “spoon” some charge from pre-determined locations in the charge distribution. The amount of charge picked up by the proof plane is proportional to the amount of charge at the location on the sphere.You will then move the proof plane to the interior of the Faraday pail and measure the induced potential between the pail and the grounded shield.Since the potential is proportional to charge, we can see the relative amount of charge at each location on the sphere.When reading the amount of charge carried by the proof plane,it is important to only charge the Faraday pail by induction. In other words, do not touch the proof plane to the pailThis is important because the proof plane has removed some charge from the charge distribution you are measuring. In order for subsequent measurements on this distribution to have any meaning, this charge must be returned to the charge distribution.Spherical co-ordinates. Positions1 through 5 are at = 90 degreeswith = 0 degrees at position 1 and = 180 degrees at position 5.= 45 degrees for positions 6 – 8.Charge distribution on an uncharged sphere (A) in the vicinity of a positively charge sphere (B)1. Momentarily ground sphere A. Connect sphere B to the positive terminal of the 3000 V power supply, and connect the “Common” of the supply to the ground plane. Place the spheres 20 cm appart. 2. Touch the proof plane at point 1 (θ = 90°,= 0°). Then insert the proof plane in the pail without touching the pail bottom. Record the electrometer reading.V-13. Repeat step 2 for point 2 (θ = 90°,= 45°)4. Repeat step 2 for point 3 (θ = 90°,= 90°) 5. Repeat step 2 for point 4 (θ = 90°,= 135°) 6. Repeat step 2 for point 5 (θ = 90°,= 180°) 7. Repeat Step 2 for point 6 (θ = 45°,= 0°).8. Repeat Step 2 for point 7 (θ = 45°,= 90°).9. Repeat Step 2 for point 8 (θ = 45°,= 180°).V-1 ContinuedCharge distribution on a negatively charged sphere (A) in the vicinity of a positively charge sphere (B)1. Connect sphere B to the positive terminal of a 3000 V power supply. Charge sphere A negatively by induction as follows: (a)Place sphere A close to sphere B (b) Ground A by touching it for approximately 10 seconds with the hand that is connected to the ground plane with the wrist strap. Now, place the two spheres so that their centers are at a distance d = 20 cm2. As before, touch the proof plane at point 1 (θ = 90°,= 0°). Then insert the proof plane in the pail without touching the pail bottom. Record the electrometer reading.Repeat this procedure for positions 2-8V-2Charge distribution on a positively charged sphere (A) in the vicinity of a positively charge sphere (B)1. Connect sphere B to the positive terminal of a 3000 V power supply. Charge sphere A positively by conduction as follows: (a)Place sphere A in contact with sphere B by touching sphere A to sphere B for approximately 10 seconds. Now, place the two spheres so that their centers are at a distance d = 20 cm2. As before, touch the proof plane at point 1 (θ = 90°,= 0°). Then insert the proof plane in the pail without touching the pail bottom. Record the electrometer reading.Repeat this procedure for positions 2-8V-3Charge distribution on a positively charged sphere (A) with no significant external electric field1. Disconnect sphere B from the positive terminal and place it as far away from sphere a as possible. Sphere A is still positively charged from the previous step.2. As before, touch the proof plane at point 1 (θ = 90°,= 0°). Then insert the proof plane in the pail without touching the pail bottom. Record the electrometer reading.Repeat this procedure for positions 2-8V-4Section VI-1 of the reportTabulate the data from sections V-1 through V-4. It is most convenientfor you to put all of the data from each section into a single table. i.e. data from V-1 is one table, data from V-2 is a second table etc.Section VI-2 of the reportFor V-1, sketch the approximate charge distribution on sphere A. Be sure to indicatewhich direction is sphere B. The figure atright is one way to represent this information.Repeat this for V-2 through V-4. Each shouldhave its own sketch.Section VI-3 of the reportPlot the data from sections V-1 through V-4. There should be two plots. One plot should be all of the electrometer readings where= 90 degrees, and the other should be where = 45 degrees. Bothshould be plots of Electrometer reading vs . One of these plots is shown below. No trendline is desired for these plots.-10.0-8.0-6.0-4.0-2.00.02.04.06.08.010.00 50 100 150 200Electrometer Reading (volts)Position (degrees)Voltage vs Position Sphere A, = 90 degreesQ = 0Q < 0Q > 0 Q > 0 B = 0Section VI-4 of the reportBriefly describe in words what you would expect to see the electrometer readings do at the different positions for each case and compare this to what was