Problem 4: Two infinitely long wires, both parallel to the y-axis, one located at x= - a and z=0, the other at x=0 and z

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Problem 4 Two Infinitely Long Wires Both Parallel To The Y Axis One Located At X A And Z 0 The Other At X 0 And Z 1 (81.02 KiB) Viewed 54 times

Problem 4: Two infinitely long wires, both parallel to the y-axis, one located at x= - a and z=0, the other at x=0 and z-a (see picture). The two wires have the same line charge density pi. The material throughout is vacuum. 4a) Write down the electric field vector E at any point P that is along the y axis (i.e., for points that have x=0 and z=0). 4b) If charge Q is placed at the coordinate origin, what is the force F (magnitude and direction) it feels from the two wires? V(r₂) - V(r₁) = = a PL Σπε N In a IN Se 4c) How much energy would it cost (i.e., how much work is needed) to move charge Q from the coordinate origin to any other point along the y axis? -a 4d) How much energy would it cost (i.e., how much work is needed) take to move charge Q from the coordinate origin to a point with (a,0,0)? (For reference, the potential difference between points at normal distances r2 and r1 from a wire line charge density p₁, can be written as Se