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Problem 3: Imagine you have a long straight wire running along the x axis. Now imagine that centered at a: = 0 there is a
Problem 3: Imagine you have a long straight wire running along the x axis. Now imagine that centered at a: = 0 there is a parallelplate capacitor with circular plates of radius a, separated by a tiny gap h I a, with the plates perpendicular to the wire. Current I is owing in the .7; direction, so the capacitor is charging. Consider an Ampere's law loop of radius 2*" that is circular and centered on the origin, and lying in the yz plane. That is, the loop is centered in the gap between the plates of the capacitor. Using the dE/dt term in Maxwell's equations, compute the magnetic eld magnitude |B| as a function of r over the range 0 a you get for |B| what you would have gotten if you had just used the no I term instead of the dE/dt term
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