EE140 Mid-Term 1 Dr. Ray Kwok  L x y O Print Name : _______________________________________________________________________ 1. Consider a line charge of linear charge density  length L, located along the y-axis as shown. a. What is the electric field vector at a point on the x-axis (x,0,0) ? b. With  dEV, find the electric potential at that location (x,0,0).EE140 Mid-Term 1 Dr. Ray Kwok 2. A long coaxial cable of radius “a” is carrying a non-uniform current density  zrJˆ2 (into the page). A dielectric r is filled between a and b to support the center cable. The current density in the outer sleeve b < r < c is uniform, J = (out of the page). All materials have the same permeability o. What is the magnetic field everywhere r > 0? Sketch it as a function of r. a b cEE140 Mid-Term 1 Dr. Ray Kwok 3. An infinite line charge of charge density  , is placed in front of a right-angle ground plane defined by xz and yz planes as shown. The line charge, parallels to the z-axis, is at a distance d from both planes. Find the electric field right above the xz plane. ( i.e., at y = 0+.) What is the induced surface charge density on the grounded xz plane? y x  at