Induced Current and Emf Grade Name Date The figure shows a magnetic field that is going into the page and a wire loop with an area A and N turns embedded in the field. X X X X X X X X X X X XXXX a) The magnetic field strength is changing at a rate given by B(t) = 1.5t2 + 2.25t in units of T. Find the rate of change of the magnetic flux in Wb/s. Recall DB = A . B = ABcos(0). b) Use Faraday's Law to derive an equation for the induced emf E(t) as a function of time. c) If N = 200 turns, r = 0.03 m, and the resistance is 3 0 find the induced emfat t = 1.5s. Use this to find the induced current. d) Lenz's Law: Which way does this induced current flow? Give your reasoning. i) clockwise ii) counterclockwise