Problem 3 Imagine you have a long straight wire running along the x axis Now imagine that centered at x 0 there is a parallel

Question

Problem 3 Imagine you have a long straight wire running along the x axis Now imagine that centered at x 0 there is a parallel plate capacitor with circular plates of radius a separated by a tiny gap h a with the plates perpendicular to the wire Current I is flowing in the x direction so the capacitor is charging Consider an Ampere s law loop of radius r that is circular and centered on the origin and lying in the y z 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 field magnitude B as a function of r over the range 0 r 3a Plot your result B vs r labeling the value at r 0 and the maximum value Show that at r a you get for B what you would have gotten if you had just used the po I term instead of the dE dt term

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