Rod Moving on Parallel-Conducting Rails

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SUMMARY

The discussion centers on calculating the speed of a rod moving along parallel conducting rails to produce a downward current in a resistor. The relevant equations include emf = vlB and v = IR. The user attempted to derive the velocity using the formula v = (IR)/(lB) but did not achieve the correct answer. Key missing information includes the required current (I), resistance of the resistor, separation of the rails, and specifics about the magnetic field.

PREREQUISITES
  • Understanding of electromagnetic induction principles
  • Familiarity with Ohm's Law (v = IR)
  • Knowledge of the formula for electromotive force (emf = vlB)
  • Basic concepts of magnetic fields and their effects on conductors
NEXT STEPS
  • Research the effects of magnetic fields on moving conductors
  • Study the principles of electromagnetic induction in detail
  • Learn how to calculate current and resistance in circuits
  • Explore the relationship between velocity, magnetic field strength, and induced emf
USEFUL FOR

Students studying physics, particularly those focusing on electromagnetism, as well as educators seeking to clarify concepts related to induced current and motion in magnetic fields.

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Homework Statement


A straight rod moves along parallel conducting rails, as shown below. The rails are connected at the left side through a resistor so
that the rod and rails form a closed rectangular loop. A uniform field perpendicular to the
movement of the rod exists throughout the
region.
Assume the rod remains in contact with
the rails as it moves. The rod experiences no
friction or air drag. The rails and rod have
negligible resistance.

At what speed should the rod be moving to
produce the downward current in the resistor?
Answer in units of m/s.


Homework Equations



emf = vlB
v = IR


The Attempt at a Solution



I attempted to solve the two equations for velocity resulting in:

v = (IR)/(lB) which didn't yield a correct answer

Is there something I have to do special because there is a mass of the rod?
 
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where is the figure? what is the required current in the resistor (the value of I)?
 
I that the exact wording of the question? Does the missing figure contain additional information?

How much current must be produced? What is the resistance of the resistor. What is the separation of the rails? What is the direction & strength of the magnetic field?
 

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