Solenoid magnetic flux and emf

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SUMMARY

The discussion focuses on calculating the electromotive force (emf) in a wire bent into a circle, which has a resistance of 11 ohms and is concentric with a solenoid experiencing a change in magnetic flux from 8 T·m² to 6 T·m² over 0.2 seconds. The emf can be determined using Faraday's law of induction, which states that the induced emf is equal to the negative rate of change of magnetic flux. The change in magnetic flux is 2 T·m², and the time interval is 0.2 seconds, leading to an emf calculation of 10 volts. Understanding the relationship between the solenoid's magnetic field and the wire's configuration is crucial for solving the problem.

PREREQUISITES
  • Faraday's law of induction
  • Understanding of magnetic flux
  • Basic circuit theory (Ohm's Law)
  • Knowledge of solenoid magnetic fields
NEXT STEPS
  • Study the derivation and applications of Faraday's law of induction
  • Learn about calculating magnetic flux in solenoids
  • Explore the relationship between emf and current in circuits
  • Investigate the effects of resistance on current flow in conductive materials
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Students in physics, electrical engineering, or anyone interested in electromagnetic theory and applications, particularly those studying circuits and magnetic fields.

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Homework Statement



A wire of resistance 11 ohms and length 2.3 m is bent into a circle and is concentric with a solenoid in which the magnetic flux changes from 8 T·m2 to 6 T·m2 in 0.2 seconds.

a) What is the emf in the wire?
b) What is the non-Coulomb electric field in the wire?
c) What is the current in the wire?

Homework Equations



B=muNI/L

The Attempt at a Solution



I suppose for (a) it's got something to do with emf=IR. But this needs I, which is part (c). But the magnetic field of a solenoid also needs I. I don't understand "into a circle and is concentric with a solenoid in which the magnetic flux changes from 8 T·m2 to 6 T·m2 in 0.2 seconds". Does the fact that it's concentric matter or is that just to say use the solenoid formula? Also if it changes from 8 T to 6 T, do I plug in the difference 2 T? And is 0.2 seconds extra information that is not necessary for this problem? Thanks.
 
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Do you know Faraday's law of induction? Look into that one to find the emf in the bent wire.
As for the setup, then I don't quite understand where the coil is in respect to the solenoid, if it is inside the solenoid or outside, my guess is outside. But the fact that they are concentric is important since that tells you about the change in magnetic flux and the 0.2 seconds are important also.
 

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