Consider two N-turn circular coils of radius R, each perpendicular to the axis of symmetry, with their centers located a

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Consider Two N Turn Circular Coils Of Radius R Each Perpendicular To The Axis Of Symmetry With Their Centers Located A 1 (467.27 KiB) Viewed 42 times

Consider two N-turn circular coils of radius R, each perpendicular to the axis of symmetry, with their centers located at z = £1/2. There is a steady current I flowing in the same direction around each coil, as shown in the figure below. z R y 1 x R (a) Derive an expression for the z-component of the magnetic field anywhere on the z-axis, B2(2). (You can use the result we derived in class for the single loop of wire on axis - no need to rederive.) (b) Use your favorite plotting tool (could be Python, Mathematica, maybe Excel if you really know what you're doing) to graph Bz(z) for the following values of l: i. l = 5R/3 ii. 1= R iii. 1 = R/3. If you prefer, you can choose and substitute some realistic numerical values of N, R, I and I into the formula you use in your plotting software, but make sure to include these choices on your plot. Also make sure your axes are labeled clearly, and that the three graphs are clearly labeled. (You're welcome to plot them all on the same graph if you want, or separate them.) (c) Summarize your observations from part (b).