A point charge of 500π [nC] is located at the origin, an infinite uniform line charge with density of 18π[nC/m] lies along the z axis, and a uniform surface charge density of 2 [nC/m2] lies on all the z = 0 plane.
(a) Calculate the electric flux density vector D at the points A(0,3,4) and B(0,3,- 4).
(b) What is the total electric flux leaving the surface of a sphere of unit radius centered at the origin?
(c) Assuming that free space exists everywhere, determine the force applied on a test point charge of 2ε[C] located at the point A(0,3,4), where ε is the permittivity of free space.