The figure shows a circular area of tthe radius $R$ where a uniform magnetic field $\vec{B}$ is going into the plane of the paper and increasing in magnitude at a constant rate. In that case, which of the following graphs, drawn schematically, correctly shows the variation of the induced electric field $E (r)$ ?

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E = d ϕ d t = A d B d t for r < R , E 2 π r = π r 2 d B d t ⇒ E α r for r > R , E 2 π r = π R 2 d B d t ⇒ E α 1 r

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