Solved: In a certain region of space near Earths surface,

Chapter , Problem 79

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In a certain region of space near Earths surface, a uniformhorizontal magnetic field of magnitude B exists above alevel defined to be y = 0. Below y = 0, the field abruptlybecomes zero (Fig. 29-54). A vertical square wire loop hasresistivity p, mass density pm, diameter d, and side length t Itis initia lly at rest with its lower horizontal side at y = 0and is then allowed to fall under gravity, with its planeperpendicular to the direction of the magnetic field.(a) While the loop is s till partially immersed in the magneticfield (as it falls into the zero-field region), determine themagnetic drag force that acts on it at the moment when itsspeed is v. (b) Assume that the loop achieves a terminalvelocity vT before its upper horizontal side exits the field.Determine a formula for v^. (c) I f the loop is made ofcopper and B = 0.80 T, find v j.

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