1. Field between Two Wires (Score: 10) There are two semi-infinite cylindrical wires of radius a that carry current I according to Figure 1. It is known that the width of the gap between the two wires is w and w < < a. When the current is turned on (when t=0). plate in the gap is uncharged. Ignore the edge effect. (a) Determine the electric field E in the gap! (Score: 2) (b) Determine the magnetic field B in the gap! (Score: 2) (c) Determine the energy density u in the gap! (Score: 2) (d) Determine the Poynting vector S at the gap! (Score: 2) (e) Determine the work per unit time dW/s in the gap! (Score: 2) a IN +6 -O Figure 1: Gap between two wires