You have a rectangular coil of wire, 0.2 m on top/bottom and 0.4 m on left/right sides, with 16 turns and a resistance of 0.2 2. It rests horizontally on a table with a magnetic field coming out of the table at a 30 degree angle with respect to the horizontal and a magnitude given by B(t) = 2 - at2 1. Draw a picture and calculate the flux at t = 0. 2. Find the time when the flux through the coil is zero. 3. Calculate the EMF induced in the loop at the time found in (b). If it exists, find the magnitude of the current and its orientation around the loop