Motional Emf: Solving for Speed with E=vBL

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To determine the speed of a 1.2 kg rod sliding down frictionless rails in a 3.0 T magnetic field, the equation E = vBL is crucial. The rod's length (L) is 1 m, and its resistance is 5 ohms, but the challenge lies in connecting these variables to find the speed (v). The induced electromotive force (emf) relates to resistance and the changing magnetic flux as the rod moves, suggesting a dynamic relationship in the circuit. Understanding how the resistance affects the induced emf is key to solving for speed. The problem highlights the importance of recognizing the connections between magnetic fields, induced emf, and circuit resistance.
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Homework Statement


A 1.2 kg rod that has a length of 1m and a resistance of 5 ohms slides with constant speed down a pair of frictionless vertical conducting rails that are joined at the bottom. Other than the rod, the rest of the circuit is resistance-less. A uniform magnetic field of magnitude 3.0 T is perpendicular to the plane formed by the rod and the rails. Determine the speed of the rod.


Homework Equations


E=vBL


The Attempt at a Solution


I understand that B=3 and L=1
How can I solve for the other two variables with only the information I'm given? Is there some connection I just don't see? What is the relationship between resistance and induced emf, and how would I even be able to guess the emf without knowledge of voltage?
 
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