I have a situation where there exist a time varying magnetic field and a circular loop place perpendicular to it. Let us assume that the magnetic field is $\vec B=\frac{B_0 t}{\tau}$ . I tried to modify this problem is my own way that I will be discussing later right now is irrelevant. Also please note, the minor details of this problem need not be considered like polarization etc, or anything, think of it as high school level stuff.
So, my question is that, I know that by using Faraday law $e=-\frac{d\phi}{dt}$
I will get the result as $e=-\pi r^2 \frac{dB}{dt}$(not substituting value yet as it's not required).
So, now i have got this emf whose meaning i don't understand, what I mean to say is what would this emf look like , what would be it's direction, end point , start point, etc. Basically I can't understand it's physical sense and direction(loosely speaking here , please note that this direction, i meant to be associated with the path integral).
Also, suppose that I replace the situation with an circuit having equivalent emf what would it look like?
Now continuing with the problem by the $e=-\vec E.\vec dl$ , I was told that there exist a induced electric field having circular loop and direction I don't remember but with upward magnetic field seems to be anti-clockwise(please verify and explain!)
Gives $E=\frac{1}{2}r\frac{dB}{dt}$ so, the only problem is how I can visualize this emf and electric field. As well is there any way to produce current using that emf? Connecting somewhere? Or an equivalent circuit?
EDIT: The equation of electric field of course implies that $E$ is constant for a given $r$ , so this implies the circular nature of electric field but what about it's direction, suppose that if i connect a wire loop in that electric field would a current flow through it, would that be the direction of emf? (Suppose that material is not affected by magnetic field).
