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(II) A thin cylindrical shell of radius R1 is surrounded by a second concentric cylindrical shell of radius R2 (Fig. 22–35). The inner shell has a total charge +Q and the outer shell −Q. Assuming the length ℓ of the shells is much greater than R1 or R2, determine the electric field as a function of R (the perpendicular distance from the common axis of the cylinders) for (a) 0 < R < R1, (b) R1 < R < R2, and (c) R > R2. (d) What is the kinetic energy of an electron if it moves between (and concentric with) the shells in a circular orbit of radius (R1 + R2)/2? Neglect thickness of shells.
FIGURE 22–35 Problems 35, 36, and 37.
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