2. Electric Field off a WireIn this problem, we will find the current in a square loop (with total resistance R and sidelength A) caused by a time-varying current, I(t) = Ioe¬wt, carried by an infinite wire.'The dipole moment ñ of a planar loop of area A carrying current I has magnitude m = IA. However, not alldipoles are circulating currents. Elementary particles such as electrons, protons, and neutrons have intrinsic dipolemoments.AI(t)(a) What is the magnetic field as a function of time any distance away from the currentcarrying wire? Sketch the system (including a coordinate system) and put your answer interms of a unit vector.(b) What is the total magnetic flux into the loop?(c) What EMF does this induce in the loop?(d) What is the current in the loop? Specify whether positive current means clockwise orcounterclockwise flow in your expression.(e) What is the net charge flow through a point in the loop between t = 0 and t = x?(f) What is the total amount of energy that has been burned from current passing over theresistance of the wire?

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