Problem 4: In the coordinate system shown at right, particle 1 with charge q = q, where q = 12.2 µC, is located at coordinates (-a, 0) m, where a = 4.2 m; particle 2 with charge q2 = 2q is located at coordinates (a, 0); particle 3 with charge q3 = q is located at coordinates (0, a). y 3 (0, a) 1 (-a, 0) 2 (a, 0) Part (a) Enter an expression for the electric potential at the origin, Vo, using the given symbols. Vo = a 7 9 HOME d f 4 5 6. j 1 2 3 1 ke + END n P vol BACKSPACE CLEAR Part (b) Solve for the numerical value of Vo in volts. Part (c) Using a to denote the direction of the electric field at the origin Eo, measured counterclockwise from the positive x-axis, find tan(a). Part (d) Now find sin(a). Part (e) Calculate the value of a, in degrees between 0 and 360°. Part (f) Select the correct formula for the magnitude of the electric field Eo at the origin in terms of symbols given. Part (g) Find the magnitude of Eg, at the origin, in newtons per coulomb.

Problem 4: In the coordinate system shown at right, particle 1 with charge q = q, where q = 12.2 µC, is located at coordinates (-a, 0) m, where a = 4.2 m; particle 2 with charge q2 = 2q is located at coordinates (a, 0); particle 3 with charge q3 = q is located at coordinates (0, a). y 3 (0, a) 1 (-a, 0) 2 (a, 0) Part (a) Enter an expression for the electric potential at the origin, Vo, using the given symbols. Vo = a 7 9 HOME d f 4 5 6. j 1 2 3 1 ke + END n P vol BACKSPACE CLEAR Part (b) Solve for the numerical value of Vo in volts. Part (c) Using a to denote the direction of the electric field at the origin Eo, measured counterclockwise from the positive x-axis, find tan(a). Part (d) Now find sin(a). Part (e) Calculate the value of a, in degrees between 0 and 360°. Part (f) Select the correct formula for the magnitude of the electric field Eo at the origin in terms of symbols given. Part (g) Find the magnitude of Eg, at the origin, in newtons per coulomb.