Physics question about lenz's law

[yellowcocopuffs]

EK Physics book, number 167.
The explanation provided makes no sense to me.
This is the problem:
A stationary loop of wire is placed in a magnetic field directed into the page as shown below. The current in the loop of wire is:
A. Clockwise if the magnitude of the magnetic field is decreasing
B .Clockwise if the mag of the magnetic field is inc
C .clockwise if the mag of th Mag field is inc or dec
D. No current will flow through the loop if the mag field is inc or dec.
What do you think is the answer?

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[IntelInside]

EK Physics book, number 167.
The explanation provided makes no sense to me.
This is the problem:
A stationary loop of wire is placed in a magnetic field directed into the page as shown below. The current in the loop of wire is:
A. Clockwise if the magnitude of the magnetic field is decreasing
B .Clockwise if the mag of the magnetic field is inc
C .clockwise if the mag of th Mag field is inc or dec
D. No current will flow through the loop if the mag field is inc or dec.
What do you think is the answer?

Answer is A. We are concerned about the interior of this wire!! So if the magnetic field is increasing in the interior we want to counteract this by producing a magnetic field in the opposite direction. If the magnetic field is increasing we want to produce a magnetic field in the same direction. Therefore we use the 1st right hand rule to make the prediction about direction of the current which will generate the field

 

[TheRealAngeleno]

Answer is A. We are concerned about the interior of this wire!! So if the magnetic field is increasing in the interior we want to counteract this by producing a magnetic field in the opposite direction. If the magnetic field is increasing we want to produce a magnetic field in the same direction. Therefore we use the 1st right hand rule to make the prediction about direction of the current which will generate the field

Wouldn't the answer be B? Since Lenz's law states that the induced current created by the changing flux will produce a magnetic field opposing the external magnetic field. In this case, if the external magnetic field were to increase into the page, the current would go clockwise thus creating a magnetic field out of the page. Could someone please chime in? Thanks a lot.

 

[Rabolisk]

Wouldn't the answer be B? Since Lenz's law states that the induced current created by the changing flux will produce a magnetic field opposing the external magnetic field. In this case, if the external magnetic field were to increase into the page, the current would go clockwise thus creating a magnetic field out of the page. Could someone please chime in? Thanks a lot.

That would be the opposite.

 

[michaelfranklin]

Answer is A. We are concerned about the interior of this wire!! So if the magnetic field is increasing in the interior we want to counteract this by producing a magnetic field in the opposite direction. If the magnetic field is increasing we want to produce a magnetic field in the same direction. Therefore we use the 1st right hand rule to make the prediction about direction of the current which will generate the field

I agree with IntelInside, but note that he meant to say "...if the magnetic field is DECREASING we want to produce a magnetic field in the same direction."