A physics teacher tries to build a device that illustrates Maxwell's generalization of Ampre's law. She drills

A physics teacher tries to build a device that illustrates Maxwell's generalization of Ampère's law. She drills a hole in the center of each plate of a parallel-plate capacitor and then runs a wire through the holes (Figure P30.36). There is no connection between the wire and the plates, and the potential difference across the plates can be controlled. Can the teacher adjust this potential difference so that there is no magnetic field at a distance \(r\) from the wire? In particular, what must be the rate of change of the potential difference if she wants no magnetic field at a distance \(r=20 \mathrm{~mm}\) from the wire when it carries a steady current of \(0.0200 \mathrm{~A}\) and the distance between the plates is \(d=3.0 \mathrm{~mm} ?

Data from Figure P30.36

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