Experiment ES4: Equipotential SurfacesIn this experiment you will accomplish the following tasks:1) Find several equipotential lines for three different electrode pattern2) From the equipotential lines you will determine the electric field lines as well as the magnitude and direction of the electric field vector E at selected points on the graphite paperIn this experiment you use the three conducting electrode patterns shown below. The three electrode patterns are pre-drawn on separate sheets of graphite paper using conductive copper paint. Try not to touch or rub the electrodes, since this may reduce their conductivity.For each electrode pattern, begin as follows:Place a single sheet of white paper under the pattern. Use thumbtacks in the corners to hold both papers in place approximately centered on the cork board.Poke holes approximately every 2-3 cm along the boundary of each electrode.Section V-1Construct the circuit shown at right. Verify that the potential difference between the electrodes is 10 Volts. Find a point on the graphite paper where the electric potential is V = 2 Volts by dragging the voltmeter probe tip lightly across the surface of the graphite paper. Puncture both sheets with the tip when you find V = 2 Volts. Collect 10-12 points at V = 2 Volts.Repeat the above procedure for V = 4, 6, and 8 Volts.Using a pencil, label each group of points and the electrodes with the corresponding value of V on the white sheet of paper.Electric Potential and Electric FieldsThe electric field is a vector field that exists around a charged object. It exerts forces on other charged objects.A charged object q in an electric field will have a potential energy U that depends on the electric field at the position of the charge and the magnitude of the charge.The potential difference V between points 1 and 2 is given by:2121 UUVVVq  1) The electric field will always be perpendicular to the equipotential surfaces.2) No net work is done when moving a charged particle from one point on an equipotential surface to another point on an equipotential surface. This is true even if part of the path of the particle is not entirely on the equipotential surface.3) In the case for which the electric field is constant, the potential difference is given by Where E is the magnitude of the electric field and d is the distance moved along the direction of the electric field.VEdSection VI-1of the reportOn a photocopy of the white sheet, draw lines for the V = 2, 4, 6 and 8 volts. Label these equipotential surfaces.Draw 6 electric field lines extending from one electrode to the other. Remember the electric field will always be perpendicular to the equipotential surfaces.Pick a point (A) that is approximately mid-way between the V = 2 and V = 4 volts equipotential surface. For point A determine the magnitude and direction of the electric field. Assume that the electric field is constant over this space.Section VI-1of the report (cont)Repeat for a point B that is midway between V = 4 and V = 6 volts. Repeat for a point C that is midway between V = 6 and V = 8 volts.Make sure to state clearly the values of d and used in each calculation of E in this report.VSection V-2Construct the circuit shown at right. Verify that the potential difference between the electrodes is 10 Volts. Find a point on the graphite paper where the electric potential is V = 2 Volts by dragging the voltmeter probe tip lightly across the surface of the graphite paper. Puncture both sheets with the tip when you find V = 2 Volts. Collect 10-12 points at V = 2 Volts.Repeat the above procedure for V = 2, 3, 4, 5, 6, 7 and 8 Volts.Using a pencil, label each group of points and the electrodes with the corresponding value of V on the white sheet of paper.On a photocopy of the white sheet, draw lines for the V = 2, 3, 4, 5, 6, 7 and 8 volts. Label these equipotential surfaces.Draw 6 electric field lines extending from one electrode to the other. Remember the electric field will always be perpendicular to the equipotential surfaces.Pick a point (A) that is approximately mid-way between the V = 2 and V = 3 Volts equipotential surface. For point A determine the magnitude and direction of the electric field. Assume that the electric field is constant over this space.Repeat for a point B that is midway between V = 3 and V = 4 volts. Repeat for a point C that is midway between V = 4 and V = 5 volts. Repeat for a point D that is midway between V = 5 and V= 6 volts.Section VI-2of the reportSection V-3Construct the circuit shown at right. Verify that the potential difference between the electrodes is 10 Volts. Find a point on the graphite paper where the electric potential is V = 1 Volts by dragging the voltmeter probe tip lightly across the surface of the graphite paper. Puncture both sheets with the tip when you find V = 1 Volts. Collect 10-12 points at V = 1 Volts.Repeat the above procedure for V = 2, 4, 6, and 7 Volts.Using a pencil, label each group of points and the electrodes with the corresponding value of V on the white sheet of paper.On a photocopy of the white sheet, draw lines for the V = 1, 2, 4, 6, and 7 volts. Label these equipotential surfaces.Draw 6 electric field lines extending from one electrode to the other. Remember the electric field will always be perpendicular to the equipotential surfaces.Pick a point (A) that is approximately mid-way between the V = 0 and V = 1 volts equipotential surface. For point A determine the magnitude and direction of the electric field. Assume that the electric field is constant over this space.Repeat for a point B that is midway between V = 1 and V = 2 volts. Repeat for a point C that is midway between V = 2 and V = 4 volts.Repeat for a point D that is midway between V = 4 and V = 6 volts.Repeat for a point E that is midway between V = 7 and V = 10 volts.Section VI-3 of the