Explain how to read the left and right radii of the circular curve of the beam of the electrons in such a way as to eliminate parallax. 2. What are the special characteristics of Helmholtz coils? Why are they used?
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To eliminate parallax when reading the left and right radii of the circular curve of the beam of electrons, you need to position your eye directly above the radii and perpendicular to the plane of the curve. This will ensure that the radii appear as straight Show more…
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Helmholtz coils are two identical circular coils having the same radius $R$ and the same number of turns $N$, separated by a distance equal to the radius $R$ and carrying the same current $I$ in the same direction. (See Fig. $28-58 .$ ) They are used in scientific instruments to generate nearly uniform magnetic fields.(They can be seen in the photo, Fig. $27-18 .)$ (a) Determine the magnetic field $B$ at points $x$ along the line joining their centers. Let $x=0$ at the center of one coil, and $x=R$ at the center of the other. $(b)$ Show that the field midway between the coils is particularly uniform by showing that $\frac{d B}{d x}=0$ and $\frac{d^{2} B}{d x^{2}}=0$ at the midpoint between the coils. (c) If $R=10.0 \mathrm{~cm}, N=250$ turns and $I=2.0 \mathrm{~A}$ what is the field at the midpoint between the coils, $x=R / 2 ?$
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