bob012345
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I did use an integral but I was just showing the differential flux element before the integration occurs. The magnetic field is symmetric in cylindrical coordinates around the ##z## axis so I used a differential element in the plane of the loop which is ##2\pi \rho## in circumference and ##d\rho## thick because ##B_z## is constant over that differential element.Einstein44 said:Why are you not using an integral?
And where does the ##2\pi## come from since the area of the circle is ##\pi r^{2}##