1.) A line charge with density 2nC/m exists at y= -2, x=0. Find the electric field intensity at the origin. Now we wish to place a point charge Q=8nC at such a point so that the total electric field is zero at the origin. Determine the location of the point charge.
2.) Two straight nonconductive wires, parallel to the z-axis pass thru the origin, and A(8,0,0). The wires carry a uniform charge density of 0.4 microC/m. Determine the elec field intensity at P(4,4,0).
3.) A uniform line charge density of 5nC/m is at y=0, z=2 in free space, while -5nC/m is located at y=0, z=-2. A uniform surface charge density of 0.3nC/m^2 is located at y=0.2. Find E at the origin.