Induced current in two connected loops

[Jahnavi]

Homework Statement

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 ?

 

[cnh1995]

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?

 

[Jahnavi]

So , what would be the net induced EMF in the wire ( considering both the loops ) ? The difference between the two imduced emfs .Right ?

What happens if the two loops are equal in size?

Net zero induced EMF and zero current ?

 

[lekh2003]

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.

 

[cnh1995]

So , what would be the net induced EMF in the wire ( considering both the loops ) ? The difference between the two imduced emfs .Right ?
Yes.

 

[Jahnavi]

Thanks @cnh1995 !