Induced current in two connected loops

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Homework Help Overview

The discussion revolves around the concept of induced current in two connected loops, focusing on the behavior of induced electromotive force (EMF) and current direction in response to changing magnetic flux. The problem involves applying Lenz's law and understanding the interactions between the two loops.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the direction of induced EMF and current in both loops, questioning the implications of Lenz's law. There is discussion about the dominance of the induced EMF in the larger loop and its effect on the smaller loop's current direction. Questions arise regarding the scenario when both loops are equal in size and the resulting net induced EMF.

Discussion Status

The discussion is active, with participants questioning assumptions about current direction and the effects of loop size on induced EMF. Some guidance has been offered, suggesting that assumptions may be correct, but there is no explicit consensus on the final interpretation of the problem.

Contextual Notes

Participants are considering the implications of Lenz's law and the relationship between the two loops, including scenarios where the loops may be of equal size, which introduces additional complexity to the problem.

Jahnavi
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Homework Statement



loops.jpg

Homework Equations

The Attempt at a Solution



Call the middle point where the two loops meet O .

The induced EMF in the right wire should be anticlockwise and in the left loop should be clockwise .

But there can be only one current in the wire .

The induced EMF in the right loop should dominate which means current in the left loop is also anticlockwise .This gives option A) .

But then the anticlockwise current in left loop supports the increasing flux in the left loop which is a violation of lenz law .

How to think in this problem ?
 

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Jahnavi said:
But then the anticlockwise current in left loop supports the increasing flux in the left loop which is a violation of lenz law .
I don't think that's a violation of Lenz law.
The emf induced in the left loop is anticlockwise, which means it "tends to" drive an anticlockwise current in the left loop. But the right loop is bigger, hence, it supresses the induced emf in the left loop and forces its anticlockwise current through the left loop, which flows clockwise in the left loop.
What happens if the two loops are equal in size?
 
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So , what would be the net induced EMF in the wire ( considering both the loops ) ? The difference between the two imduced emfs .Right ?

cnh1995 said:
What happens if the two loops are equal in size?

Net zero induced EMF and zero current ?
 
Jahnavi said:
So , what would be the net induced EMF in the wire ( considering both the loops ) ? The difference between the two imduced emfs .Right ?
Net zero induced EMF and zero current ?
All your assumptions are correct. Go ahead and solve the problem, let us know if you get it right.
 
Jahnavi said:
So , what would be the net induced EMF in the wire ( considering both the loops ) ? The difference between the two imduced emfs .Right ?
Yes.
 
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