How Does a Conducting Loop's Size Affect EMF and Motion on an Inclined Plane?

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    Electromagnetism
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Discussion Overview

The discussion revolves around the effects of a conducting loop's size on the electromotive force (EMF) and its motion when released on an inclined plane in a varying magnetic field. Participants explore the contributions of motional EMF and EMF due to the variable magnetic field, considering different assumptions about the loop's dimensions.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested, Homework-related

Main Points Raised

  • One participant presents a problem involving a conducting loop with specific parameters and asks how to find its speed as a function of time, considering both motional EMF and EMF from a variable magnetic field.
  • Another participant suggests that the motional EMF is induced across the inner and outer circumferences of the loop, but notes that the negligible thickness of the ring allows for neglecting certain factors.
  • A similar point is reiterated by a different participant, emphasizing the same reasoning regarding the negligible thickness of the ring.
  • A later reply introduces a modification to the initial assumption, stating that the ring should not be considered small, prompting a request for further guidance on how to approach the problem under this new assumption.

Areas of Agreement / Disagreement

Participants express differing views on the implications of the loop's size, with some focusing on the negligible thickness while others suggest a larger loop should be considered. The discussion remains unresolved regarding the best approach to the problem.

Contextual Notes

Participants have not fully clarified the assumptions regarding the dimensions of the loop, and there are unresolved aspects related to the mathematical treatment of the EMF contributions.

rutika
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A small conducting loop of mass m,radius r,resistance R is released from rest along a smooth inclined plane such that the plane of the loop is perpendicular to a magnetic field which varies along x-axis as B=B'(1+ax).here B' and a are constants.Find the speed of the ring as a function of time.

My problem is that we have to consider both 1)motional emf and 2)emf due to variable magnetic field.
how do u go about solving it?
 
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The motional emf is induced across the inner 7 outer circumference & since the thickness of the ring is neligible, It can be neglected.
 
The motional emf is induced across the inner & outer circumference & since the thickness of the ring is neligible, It can be neglected.
 
hi.just assume the the ring is not small,i forgot to mention that.what do i do then?
 

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