E&M Physics. Potential Difference

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SUMMARY

The discussion centers on calculating the potential difference across a 1000-turn loop of wire with a radius of 0.034 m, connected to a 20-ohm resistor, in a time-varying magnetic field described by B = gt, where g = 0.25 T/s. Participants emphasize using Faraday's law of electromagnetic induction to derive the potential difference between points a and b. The resistance of the wire is neglected, focusing solely on the induced electromotive force (EMF) due to the changing magnetic field.

PREREQUISITES
  • Understanding of Faraday's law of electromagnetic induction
  • Knowledge of basic circuit theory, including Ohm's law
  • Familiarity with magnetic fields and their properties
  • Ability to perform calculations involving time-varying magnetic fields
NEXT STEPS
  • Study the derivation of Faraday's law and its applications in electromagnetic induction
  • Learn how to calculate induced EMF in loops with varying magnetic fields
  • Explore the relationship between induced EMF and potential difference in circuits
  • Investigate the effects of resistance in circuits with inductive components
USEFUL FOR

Students studying electricity and magnetism, physics educators, and anyone seeking to understand the principles of electromagnetic induction and circuit analysis.

zwebb
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Hello, I am in electricity and magnetism. I have a question about a homework problem.

A 1000-turn loop (radius = 0.034 m) of wire is connected to a (20 ohm) resistor as shown in the figure. A magnetic field is directed perpendicular to the plane of the loop. The field points into the paper and has a magnitude that varies in time as B=gt, where g=0.25 T/s. Neglect the resistance of the wire.

What is the magnitude of the potential difference between points a and b?

I fully understand that you guys cannot give me the answer. I would just like an explanation of how to find this, or an equation. I have already looked through my book to no avail. THANKS!
 
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Use Faraday's law.
 
What figure? Where is a and b?
 

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