Consider an infinitely long wire carrying a constant current i. Let there be a coil of area A located at a radius of r(t) at time t that varies as r(t) = ro + sin(wt) for a positive constant w, as shown in the figure below. Coil Area = A r(t) ro 3ro 2 Assume that the area A of this coil is small enough that you can ignore the variation of the magnetic field intensity at different points across the coil. The coil is a closed electric circuit with resistance R. Compute the current ic(t) flowing through this coil as a function of time. Infinitely long wire

Consider an infinitely long wire carrying a constant current i. Let there be a coil of area A located at a radius of r(t) at time t that varies as r(t) = ro + sin(wt) for a positive constant w, as shown in the figure below. Coil Area = A r(t) ro 3ro 2 Assume that the area A of this coil is small enough that you can ignore the variation of the magnetic field intensity at different points across the coil. The coil is a closed electric circuit with resistance R. Compute the current ic(t) flowing through this coil as a function of time. Infinitely long wire