Does Magnetic Force on a Wire Loop Affect Flux Change in a Solenoid?

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SUMMARY

The discussion centers on the relationship between the magnetic force on a wire loop and the change in net magnetic flux through that loop when placed near a solenoid with varying current. The key equations referenced include the flux equation, flux = ∫ B · dA, and the induced electromotive force (emf) equation, induced emf = -N (d(flux)/dt). The participant is seeking clarity on how the magnetic force influences the change in flux, indicating a need for a deeper understanding of Lenz's Law and its implications on induced currents.

PREREQUISITES
  • Understanding of electromagnetic theory, specifically Faraday's Law of Induction
  • Familiarity with Lenz's Law and its application in magnetic circuits
  • Knowledge of vector calculus as it applies to magnetic fields
  • Basic principles of solenoids and their magnetic fields
NEXT STEPS
  • Study Lenz's Law in detail to understand its impact on induced emf and magnetic forces
  • Explore the derivation of the magnetic field (B) in relation to force on a wire loop
  • Investigate the relationship between current changes in a solenoid and induced currents in nearby loops
  • Learn about the applications of Faraday's Law in practical electromagnetic systems
USEFUL FOR

Students of physics, electrical engineers, and educators seeking to deepen their understanding of electromagnetic induction and its practical applications in circuits and devices.

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Homework Statement


Is the magnetic force on the wire loop in a direction tha would tend to increase or decrease the change in net flux through he wire loop.(This situation has a solenoid with current running through it right next to it, the current is being turned on and off.)


Homework Equations



flux=integral of B dot dA
induced emf=-N time the derivative of flux with respect to time

The Attempt at a Solution


I have my force vectors, and my magnetic moments, and Isee they are in the same direction, and I have found the induced emf, and current, but I don't see the relationship between the magnetic force on the loop and the change in flux. Could someone help point me out in the right direction here.

I feel like the best thing I could do would be to find an equation to plug in for B that is in terms of force but I have no such equation.

Thank you.
 
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