Problem 1: Consider a square loop of wire in the x-y plane bounded by the square with the corners at (1,1), (1,-1), (-1,1) and (-1,1). There is a time dependent B-field flowing through the loop with the space and time dependance: B = (5 cos(x/2)e-2tk - 5 sin(x) cos(2t)j) T. If the resistance of the wire loop is 100, what is the value of the current flowing in the loop at time t = 0? (Hint: Define the area vector dA in the x-y plane, then dot that into B and find the flux PM. Once you have that, take the time derivative to find the electromotive force & and use Ohm's law to get the current. Problem 2: Take the same square loop given in the previous problem, but now instead of a B-field flowing through the loop, consider an E-field with the same time and space dependence, E = (5 cos(Tx/2)e-2k - 5sin(wa) cos(2t)j) V/m . What is the value of the line integral $ B . di around the square loop? Hint: Consider the Displacement current as used in the complete Ampere's Law