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

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To find the speed of a conducting loop released on an inclined plane in a varying magnetic field, both motional electromotive force (emf) and the emf due to the variable magnetic field must be considered. The problem states that the loop has mass m, radius r, and resistance R, and is influenced by a magnetic field described by B = B'(1 + ax). The discussion emphasizes that while the motional emf is induced across the inner and outer circumferences, the negligible thickness of the ring allows for simplifications in calculations. It is also noted that assuming the ring is not small alters the approach to solving the problem, indicating that the dimensions of the loop may affect the induced emf and subsequent motion. The key challenge lies in integrating these factors to derive the speed of the loop as a function of time.
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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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