Question

2. Electrostatic display of school spirit (15 points) coulomb 4 meters +9 (0,0) 1-1) 91-1) A group of spirited UW students are planning to assemble 5 electric charges, q-1 coulomb each, into a planar w-shaped configuration shown

Answer 1

We know that potential due to any char greaterthanorequalto q located at any r rightarrow = r rightarrow (x_0, y_0), at point p rightarrow = P(x, y) is given as: r rightarrow = r rightarrow - r rightarrow Vertical-bar r rightarrow Vertical-bar = r = squareroot (x - x_0)^2 + (y - y_0)^2 therefore v = kq/r rightarrow we use this formula for our further Calculations. In the figure you are given charges (5 charges) at different points, the potential at any general point due to all charges would equal to the sum of potential due to individual charges. i.e V = v_1 + v_2 + v_3 + v_4 + v_5 (As you are using notation phivariant for potential so let's use phivariant instead of V). \r\n phivariant_1 (x, y) = kq/squareroot (x + 2)^2 + (y - 1)^2 (1) phivariant_2 (x, y) = kq/squareroot (x - 2)^2 + (y - 1)^2 (2)