Charge q1 = 5 nC is located at the coordinate system origin, while charge q2 = 1.48 nC is located at (a,0), where a = 1.1 m. The point P has coordinates (a, b), where b = 0.45 m. A third charge q3= 15.5 nC will be placed later. YA 9₁ (a,b) 14

a) Calculate how much work is required to set up the arrangement if the charges are initially infinitely far apart and were at rest. (Hint: Use the relation between work done by external agent and total electric energy of the system) Here a = 20 cm, b= 9 cm and the three charges are gl = 28 µC, q2 = 25 µC q3 = 30 µC b) Calculate the potential at the controid(point p) of the triangle. c) Consider a spherical surface of radius r = 5a centered at p. Find the total electric flux through the surface. Total Electric Flux

A charge of uniform density (59 nC/m) is distributed along the x axis from the origin to the pointx = 19.8 m. What is the electric potential (relative to zero at infinity) at a point, x = 83 m. on the x axis?

Consider the arrangement of charges shown in the picture below. Charge q4 is located at point A= (-4.0, 0.0) m, charge qB at point B=(-4.0, 6.0) m, and charge qc at point C=(4.0, 6.0) m. What is the electric potential at point P=(4.0, 0.O) m if qa =64 nC, qB =-78 nC, qC =-39 nC? y [m]. 1 0–1 x [m] Provide your answer in volts, rounded to one place after the decimal.