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Electromagnetic Induction: Wire on rails

Q- A rod of length L caused to move at a constant speed v along horizontal conducting rails. The magnetic field B is not constant, but is supplied by a long wire parallel to the conducting rails. This wire is a distance a from the rail and has a current i.  If L = 3.18 cm, v = 4.61 m/s, a = 10.8 mm, and i = 11 A.

(a) What is the induced emf (e) in the rod? 

(b) What is the current I in the loop? Assume that the only resistance in the circuit is from the rod with 458 milli-Ohms, and that the resistance of the rails is negligible. 

(c) What direction is I moving?  

Solution:

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