Induced Voltage created on a loop entering a magnetic field

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SUMMARY

The discussion focuses on calculating the induced voltage in a loop entering a magnetic field. A loop measuring 0.69m by 0.69m is moved at a velocity of 0.81m/s into a magnetic field of 0.21T. The relevant equation for electromotive force (EMF) is EMF = -∂/∂t (NAB), where N is the number of loops, A is the area, and B is the magnetic field strength. The key to solving the problem lies in determining the change in magnetic flux over time, which can be derived from the loop's velocity and dimensions.

PREREQUISITES
  • Understanding of electromagnetic induction principles
  • Familiarity with the concept of magnetic flux
  • Knowledge of the formula for electromotive force (EMF)
  • Basic understanding of calculus, specifically derivatives
NEXT STEPS
  • Calculate the area swept out per second by the loop using its dimensions and velocity
  • Learn about the relationship between magnetic flux and induced EMF
  • Explore the application of Faraday's Law of Induction in practical scenarios
  • Study the effects of varying magnetic field strengths on induced voltage
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone interested in the practical applications of electromagnetic induction in engineering and technology.

allison20
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Homework Statement



A 0.69m long and 0.69m wide loop is moved at a constant velocity of 0.81m/s from a region of zero magentic field into a perpendicular constant magnetic field of 0.21T. Calculate the magnitude of the induced voltage in the loop while it is entering the B-field

Homework Equations


EMF=-N*A*B/T


The Attempt at a Solution


I can plug in the numbers for the number of loops N (1), the area A (LxW), and the magnitude of the field B (.21T), but how do I find the time from just knowing the velocity?
 
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welcome to pf!

hi allison20! welcome to pf! :smile:
allison20 said:
EMF=-N*A*B/T

no, it's -∂/∂t (NAB) :wink:

(ie -∂/∂t (magnetic flux) )
 
If you know the velocity and dimensions you should be able to calculate area swept out per second and therefore flux change per second
 

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