Question

Two infinitely long wires run parallel to the z axis. One wire passes through the point (x,y) = (h/2, 0) and carries a current of I A] in the z direction. The other wire passes through the point (x.y)- (-h/2,0) and carries a current-I [A] in the z direction. Calculate the magnetic field vector H(xy) [A/m] at any point in space. Express the answer in rectangular coordinates. Hint: Use superposition together with Ampere's law. Also, you might want to review how to convert a unit vector in cylindrical coordinates into rectangular coordinates. Try finding the magnetic field for a line current that is along the z axis first, and express your answer in rectangular coordinates. Then try to find out what the answer would be if the line current were moved to (x.y) - (h/2, 0) or (x.y)-(-h/2, 0) (Note: This is a model for a common type of transmission line known as the "twin-lead. Unlike the coaxial line, the twin-lead is not perfectly shielded, as you can el from your result. That is, a magnetic field is produced by the transmission line away from the structure.)

Answer 1

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