Rate of Magnetic Field Change and current

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Homework Help Overview

The problem involves a conducting loop of wire with specific area and resistance, placed in a magnetic field. The task is to determine the rate at which the magnetic field must change to induce a certain current in the loop.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between induced emf, magnetic field change, and current. There is an attempt to apply relevant equations, though some confusion arises regarding the distinction between magnetic field and magnetic flux.

Discussion Status

Some participants have provided equations related to the problem, while others have pointed out the need to calculate magnetic flux first. There is an acknowledgment of misunderstanding regarding the terms used in the problem.

Contextual Notes

Participants are working under the constraints of a homework assignment, which may limit the information they can share or the methods they can use. The original poster expresses uncertainty about their calculations.

ihearyourecho
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Homework Statement



A single conducting loop of wire has an area of 7.2×10−2m2 and a resistance of 120 ohms. Perpendicular to the plane of the loop is a magnetic field of strength 0.50 T.

At what rate must this field change if the induced current in the loop is to be 0.39A?

Homework Equations



emf=(-NdeltaIB)/(deltat)
Rate of change = emf/-N

The Attempt at a Solution



emf=(-NdeltaIB)/(deltat)
Rate of change = emf/-N

It's a single loop, so N should be 1
Rate of change - emf/-1

emf=v=IR

Rate of change = -IR
Rate of change = -(.39A)*120ohms=-46.8

This isn't right though.

Thanks for the help :)
 
Last edited:
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anyone? :)
 
ihearyourecho said:
emf=(-NdeltaIB)/(deltat)

The correct equation is

emf = - dΦ/dt

where Φ is the magnetic flux through the loop which you need to calculate first.
 
Arggh, I've been reading it as magnetic field, not flux. Thanks!
 

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