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You know how magnetic flux through a loop of area A is the integral of B dot dA? If the area is perpendicular to the magnetic field, then we can write the dot product as B dA cos 0 = b dA. Also, if the magnetic field is uniform, the B can be brought out of the integral sign, and then the integral is just dA which is A. Thus, if the magnetic field is uniform and the area is perpendicular to the loop, the magnetic flux is just BA.

What I wanted to know is, what if the magnetic field is not uniform? What if it is decreasing by the square of the distance from the center of the loop? What I was trying to find is the magnetic flux at some distance r caused by a proton moving in a straight line.