Two wires, parallel to a z axis and a distance 4r apart, carry equal currents i in opposite directions, as shown in Figure. A circular cylinder of radius r and length L has its axis on the z axis, midway between the wires. Use Gauss' law for magnetism to derive an expression for the net outward magnetic flux through the half of the cylindrical surface above the xaxis.

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Wire 17 Wire 2 2r -2,