Why Are My Calculations for Current in Moving Rods Using the Blv Rule Incorrect?

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SUMMARY

The discussion centers on the calculation of current in moving rods using the Blv rule within a magnetic field. The user initially applied the equation I=Emf/R, where Emf is derived from the rate of change of area in the magnetic field, but encountered errors in their calculations. Key advice includes focusing on the area of the triangle as a function of time and utilizing the Blv rule for moving media, which is more appropriate than Faraday's law in this context. The discussion emphasizes the importance of precise equation formatting, suggesting the use of LaTeX for clarity.

PREREQUISITES
  • Understanding of electromagnetic induction principles
  • Familiarity with the Blv rule in physics
  • Knowledge of resistance calculations in electrical circuits
  • Proficiency in using LaTeX for mathematical expressions
NEXT STEPS
  • Study the application of the Blv rule in various electromagnetic scenarios
  • Learn how to derive Emf from changing areas in magnetic fields
  • Explore advanced topics in electromagnetic induction, including Lenz's law
  • Practice formatting equations using LaTeX for clarity in presentations
USEFUL FOR

Students and educators in physics, electrical engineers, and anyone involved in experiments or calculations related to electromagnetic induction and current in moving conductors.

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Homework Statement
The rod is moving on a second rod with speed of v in the magnetic field perpendicular to rod. I know its resistance per meter. I am expected to omit megnetic field created by the current and resistance at the point where rods touch each other and calculate current. I presented the situation with drawing ( the same as in task). My calculations occured to be wrong. Why?
Relevant Equations
I=Emf/R
Homework Statement: The rod is moving on a second rod with speed of v in the magnetic field perpendicular to rod. I know its resistance per meter. I am expected to omit megnetic field created by the current and resistance at the point where rods touch each other and calculate current. I presented the situation with drawing ( the same as in task). My calculations occurred to be wrong. Why?
Homework Equations: I=Emf/R

Emf=-dA/dt*B
 

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Check the area of the triangle as a function of time. Also, try using LaTeX for writing your equations instead of posting photos some of which are sideways.
 
Last edited:
In moving media such as your rod it's generally best to use the Blv rule rather than Faraday, although in this case it's OK to do so.
 

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