Use a computer to plot the magnetic field

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Reference no: EM13812021

Two circular coils of radius R, each carrying a current I in the same sense, are parallel with the xy-plane with their centers at (0, 0, ±d/2). On the z-axis the magnetic field is B' = B (z)z^. At z = 0, halfway between the coils, B/az = 0.

(i) Determine d such that ∂²B/∂z² = 0 at z = 0 on the z-axis.

(ii) Show that for this configuration, the third derivative of the field with respect to z is also zero at z = 0.

(iii) Use a computer to plot the magnetic field B(z) as a function of position z along the axis.

Reference no: EM13812021

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