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Statement of a problem № 688

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Two coaxial rings, each of radius R, made of thin wire are separated by a small distance l (l << R) and carry the charges q and -q. Find the electric field potential and strength at the axis of the system as a function of the x coordinate (Fig. 3.6). Show in the same drawing the approximate plots of the functions obtained. Investigate these functions at |x| >> R.

Solution:
Two coaxial rings, each of radius R, made of thin wire are separated by a small

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