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A spatially uniform magnetic field directed out of the page is confined to a cylindrical region of space of radius a as shown above. The strength of the magnetic field increases at a constant rate such that B = B

_{o}+ Ct, where B

_{o}and C are constants and t is time. A circular conducting loop of radius r and resistance R is placed perpendicular to the magnetic field.

a. Indicate on the diagram above the direction of the induced current in the loop. Explain your choice.

b. Derive an expression for the induced current in the loop.

c. Derive an expression for the magnitude of the induced electric field at any radius r < a.

d. Derive an expression for the magnitude of the induced electric field at any radius r > a.

I got cw for part a. The field is increasing so the loop is trying to create a field going into the page in it and so the current is cw.

I need somone(s) to take me through the rest of the problem.

What equation should I use for part b? (stuck already... :( )

Edit: I went back to the problem and this is what I did for part b:

Still not sure how to do part c and part d. My equation sheet doesn't have anything for induced electric field and the comcept is still fuzzy to me. Someone(s) please explain.

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