Calculating Poynting Vector in Long Resistive Rod

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SUMMARY

The discussion focuses on calculating the Poynting vector for a long resistive rod with resistance R, length l, and radius r. Participants emphasize the need to relate the Poynting vector to the energy transfer rate between the rod and its surroundings, while considering the total power dissipated in the rod. The equation N = 1/μ₀ E x B is referenced, highlighting the challenge of not having explicit electric (E) or magnetic (B) fields provided in the problem statement.

PREREQUISITES
  • Understanding of electromagnetic theory, specifically the Poynting vector
  • Familiarity with resistive materials and their properties
  • Knowledge of Maxwell's equations
  • Basic principles of energy transfer in electrical systems
NEXT STEPS
  • Study the derivation and applications of the Poynting vector in electromagnetic theory
  • Explore the relationship between power dissipation and energy transfer in resistive materials
  • Investigate how to determine electric and magnetic fields in various configurations
  • Review examples of energy transfer calculations in resistive circuits
USEFUL FOR

Physics students, electrical engineers, and anyone interested in electromagnetic theory and energy transfer in resistive materials.

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Homework Statement



Consider a long resistive rod, exhibiting resistance R, of length l and radius r. Calculate the magnitude and direction of the Poynting vector (neglecting edge effects) and relate the rate of energy transfer between the rod and its exterior to the total power dissipated in the rod.


Homework Equations





The Attempt at a Solution



Not sure how to even go about starting this?! Any help please?

I know that N = 1/mu o E x B, but here we aren't given an E or B field?! What to do ?

Thanks!
 
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