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R The figure above shows two parallel loops of wire having a common axis. The smaller loop (radius r) is above the larger loop (radius R) by a distance x >> R. Consequently, the magnetic field due to the counterclockwise current i in the larger loop is nearly constant throughout the smaller loop. Suppose that r is increasing at the constant rate dx/dt = v. NOTE: Express your answers to parts (a) and (b) in terms of the given variables. (a) Find an expression for the magnetic flux through the area of the smaller loop as a function of x. B(x) = (b) Determine the magnitude of the induced emf in the smaller loop. E (c) Determine the direction of the current in the small loop. Choose one