Calculate V(P) at P = (2, 0, 2) if the negative charge is distributed along the y-axis for 1 < y < 3 with charge density p (x, y, z) = -y.

A charge distribution creates the following electric field throughout all space: E(r, 0, q) = (3/r) (r hat) + 2 sin cos sin 0(theta hat) + sin cos p (phi hat). Given this electric field, calculate the charge density at location (r, 0, p) = (ab.c).

We have the electric field:  E = 5xx + 2y + (4/π)z. (a) Calculate its flow through the three surfaces S1, S2, S3 of the figure. The S3 measure is the fourth of the surface area of ​​a unit radius and center that coincides with the beginning of the axes. (b) If there are no loads in the space, calculate the flow of E from the curvilinear surface. (ni, x, y, z are unit vectors)

A ball of conductor of radius RE has total Charge 2Q and a concentric spherical cavity of radius R₁ > RE. At the exact center of the cavity is a charge 3Q. Find the charge q at the radius RE and supply the missing numerical factor below. q=1 Q