Problem 1: Two very long, very wide, very thin plates are separated by a distance d and carry antiparallel Currents with linear current densities K =1Xi respectively, as pictured below. K = Ki For parts (b) & (c) only K =-Ki A linear current density K has units of current length. a) What is the magnetic field everywhere produced by the plates? Instead of having a constant current, the current is actually ramped as depicted in the below plot. from 0 to a maximum density of I'm and back to 0. Current Density K OT IT 2T 3T Time b) What is the current induced in a square loop of side a and resistance R placed in the plane of the page in between the two sheets (as pictured in the figure). c) The square is squishy, meaning that forces can make it expand or contract. At what times (during what time period(s)) will it be largest (stretched)? At what times will it be smallest (squished)