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The conducting rod shown in the figure has length $L$ and is being pulled along horizontal, frictionless, conducting rails at a constant velocity. The rails are connected at one end with a metal strip. A uniform magnetic field, directed out of the page, fills the region. in which the rod moves. Assume that $L=14cm,$ the speed of the rod is $v=4\mathrm{.}5\frac{m}{s},$ and the magnitude of the magnetic field is $B=1\mathrm{.}8T.($a$)$ What is the magnitude of emf induced in volts in the rod? $($b$)$ What is the current in amperes in the conducting loop? Assume that the resistance of the rod is $0\mathrm{.}44$ and that the resistance of the rails and metal strip is negligibly small. $($c$)$ At what rate is thermal energy being generated in the rod? $($d$)$ What force on the rod is needed to maintain its velocity? $($e$)$ At what rate does this force do work on the rod?

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