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3) (10 Points) A long straight wire is fixed in space and has current /. Draw the wire vertically with the current flowing upward. A square wire loop with sidelength s and resistance R is in the plane of the page and has its closest side a distance x away from the wire. a) Find the magnetic flux through the square loop. HINT: The B-field depends on distance from the wire so you will have to integrate. b) The loop is pushed with velocity v toward the wire. Find the rate of change of magnetic flux. HINT: Don't forget the chain rule. If f(x(t)) is a function of x and x is a function of t, then df/dt = (df/dx)(dx/dt) c) Find the current induced in the square loop. d) Which direction is the current flowing? Explain with Lenz's Law. e) (Extra Credit +2 Points) Find the net magnetic force on the loop