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hi everybody physics ninja here today were gonna look at how do you use amperes law in order to find the magnitude and direction of the magnetic field produced by an infinite current sheet so were gonna assume that we have this green kind of two dimensional piece of metal and its carrying a current in this case its flowing in the positive x-direction theres a current density and Ive defined using the letter K and thats really the amount of current you have per unit of length of width of that particular current sheet so the question is how do you apply amperes law to find the magnetic field produced by this sheet this is kind of a similar problem to finding the electric field produced by a 2d sheet using Gausss law its kind of similar but I clearly there are some differences because were looking at magnetic field so Im gonna first do it the easy way using our pairs law which is written here and then Im also gonna do it solving well we know the magnetic field produced by on