The conducting rod shown in the figure below has alength L and is being pulled a

Question

The conducting rod shown in the figure below has alength L and is being pulled along horizontal,frictionless, conducting rails at a constantvelocity Vector v .The rails are connected at one end with a metal strip. A uniformmagnetic field Vector B ,directed out of the page, fills the region in which the rod moves.Assume that L = 10 cm, Vector v = 6.2 m/s,and Vector B = 1.5 T. (a) What is the magnitude and direction of the emf induced in therod? (Take up to be positive.) V (b) What is the magnitude and direction of the current in theconducting loop? (Take counterclockwise to be positive.) Assumethat the resistance of the rod is 0.40 ohm and that the resistance of the rails and metal stripis negligibly small. A (c) At what rate is thermal energy being generated in therod? W (d) What external force on the rod is needed tomaintain Vector v ? Nleft (e) At what rate does this force do work on the rod? W

Explanation / Answer

L = 10cm = 0.10m B = 1.5T v =6.2m/s induced em.f in the rod = =- BLv=-------V   ( taking induced e.m.f value positive) if R = 0.40 i = /R = -----A P= iv = i = -----W Fapp = p/v = ------N p = Fapp v = ------W

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