Why is there no induced current if magnetic field doesn't pass through the coil?

[rickyw2777]

Homework Statement

If there is a circular coil of radius r0 and a circular region of magnetic field of radius r1. Given that them have the same center and r0>r1, if the magnetic field changed its magnetic field strength, will there still be a induced current?

Relevant Equations

E=delta Phi/delta t

I believe that there will not be a induced current because the magnetic field does not pass through the coil.

 

[Gordianus]

Can you make a nice drawing that shows how you came to the conclusion?

 

[gyorgiy]

Homework Statement: If there is a circular coil of radius r0 and a circular region of magnetic field of radius r1. Given that them have the same center and r0>r1, if the magnetic field changed its magnetic field strength, will there still be a induced current?
Relevant Equations: E=delta Phi/delta t

I believe that there will not be a induced current because the magnetic field does not pass through the coil.

Assuming that the field direction is along the axis of the coil (not defined in the question as stated here*), there will be a potential generated in the coil. This is exactly what happens in isolation transformers. The current depends on how the coil is connected.
*My assumption is that the coil and the field circle are coplanar, and the field is perpendicular to the disc of the circle.
However, you could read this as the field being along the circumference of the circle, in which case your original thoughts would apply.

 

[anuttarasammyak]

Homework Statement: If there is a circular coil of radius r0 and a circular region of magnetic field of radius r1. Given that them have the same center and r0>r1, if the magnetic field changed its magnetic field strength, will there still be a induced current?
Relevant Equations: E=delta Phi/delta t

I believe that there will not be a induced current because the magnetic field does not pass through the coil.

I wonder where does the homework and you are looking at ? No charge, no current.