Motional Emf: Solving for Speed with E=vBL

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SUMMARY

The discussion focuses on calculating the speed of a 1.2 kg rod sliding down frictionless conducting rails in a uniform magnetic field of 3.0 T. The relevant equation is E = vBL, where E represents the induced electromotive force (emf), v is the speed of the rod, B is the magnetic field strength, and L is the length of the rod. Given that the rod has a length of 1 m and a resistance of 5 ohms, the relationship between induced emf and resistance is crucial for determining the speed of the rod.

PREREQUISITES
  • Understanding of electromagnetic induction principles
  • Familiarity with Ohm's Law and resistance calculations
  • Knowledge of magnetic fields and their effects on conductive materials
  • Basic algebra for solving equations
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  • Explore the concept of induced emf in moving conductors
  • Study the relationship between resistance and induced emf in circuits
  • Learn about the principles of magnetic flux and its calculation
  • Investigate the effects of varying magnetic field strengths on induced currents
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Physics students, educators, and anyone interested in understanding the principles of electromagnetic induction and its applications in circuits.

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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?
 
Physics news on Phys.org
The rod and rails form a loop (a triangular-shaped loop). There is magnetic flux passing though the loop. The loop gets smaller as the rod moves downward...
 

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