Consider an infinitely long wire carrying a constant current i. Let there be a coil of area A locatedat a radius of r(t) at time t that varies asr(t) = ro + sin(wt)for a positive constant w, as shown in the figure below.CoilArea = Ar(t)ro3ro2Assume that the area A of this coil is small enough that you can ignore the variation of themagnetic field intensity at different points across the coil. The coil is a closed electric circuit withresistance R. Compute the current ic(t) flowing through this coil as a function of time.Infinitely long wire

Given information: The current in the wire = i The area of the coil = A The resistance of the coil…

Answered: Consider an infinitely long wire…

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