What is the Magnitude of the Magnetic Field in a Moving Loop?

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SUMMARY

The discussion centers on calculating the magnitude of the magnetic field in a moving rectangular loop of wire, which is transitioning from a magnetic field of 0.0044 Wb over 1.5 seconds. The relevant equation for electromotive force (EMF) is E = Δflux / Δtime. The challenge lies in determining how the velocity of the loop affects the change in magnetic flux, specifically whether the magnetic field (B), area (A), or both are changing during the motion.

PREREQUISITES
  • Understanding of electromagnetic induction principles
  • Familiarity with the formula for magnetic flux (Φ = B * A)
  • Knowledge of the relationship between velocity and induced EMF
  • Basic grasp of calculus, particularly derivatives
NEXT STEPS
  • Study Faraday's Law of Electromagnetic Induction
  • Learn about the relationship between magnetic flux and area in dynamic systems
  • Explore the concept of induced EMF in moving conductors
  • Investigate how velocity affects magnetic field interactions
USEFUL FOR

Students in physics, electrical engineering majors, and anyone interested in the principles of electromagnetism and their applications in moving systems.

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Homework Statement



A rectangular loop of wire is moving toward the bottom of the page with a speed of .042 m/s. The loop is leaving a region in which a magnetic field is directed into the page; the magnetic field outside this region is zero. If during the time of 1.5 s the magnitude of the change in magnetic flux is .0044 Wb, what is the magnitude of the magnetic field?

Homework Equations



E = delta flux / delta time ?

The Attempt at a Solution


I thought this was the equation to use mainly. but i have no idea where the veloicty comes into play. any help would be appreciated!
 
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Flux is B*A in this case, and you know d/dt (flux) = .0044. So you need to discover what part of the flux is changing: B, A, both?
 

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