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A long, straight wire carrying a current of 4.25 A is placed along the axis of...

A long, straight wire carrying a current of 4.25 A is placed along the axis of a cylinder of radius 0.500 m and a length of 2.25 m. Determine the total magnetic flux through the cylinder. T · m2

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Answer #1

Notice here is asking you to find the total flux through the cylinder. However, the magnetic field lines are always perpendicular to the surface of the cylinder. So even if your calculations are right, it is not acting on the right direction. The final answer is zero.
the magnetic field around a wire is cylilndrically symmetric around the wire; therefore, there is no component of the mag field that is perpendicular to the walls of the cylinder, and therefore there is no flux.

i.e net flux = 0 T.m^2

Hope this helps you.

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