A filamentary conductor carrying current I in the az direction extends along the entire negative z axis. At z = 0 it connects to a copper sheet that fills the x > 0, y > 0 quadrant of the xy plane. (a) Set up the Biot-Savart law and find H everywhere on the z axis; (b) repeat part (a), but with the copper sheet occupying the entire xy plane (Hint: express aϕ in terms of aϕ and ay and angle ϕ in the integral).
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