We know from Ampere's Law (with I_{enclosed} = 0) that

choose my orientation to by counter-clockwise then Φ_{E} = EπR^{2} and

and solving for the induced magnetic field B gives

Now from Faraday's Law we know that

If I choose my orientation to by counter-clockwise then Φ_{B} = BπR^{2} and

and solving for the magnitude of the induced electric field E gives