Direction of the induced electric field?

[Dexter Neutron]

If a time varying magnetic field exists in vertically downwards direction in a region A, an electric field is induced in the direction perpendicular to it i.e. in horizontal plane. How to find the direction of the E field in the horizontal plane?What factors decide the direction of the E field?

Once in a book I read that the E field lines form closed loops. If that is true practically then what factors decide the center of the closed loop? Or is the E field induced is just randomly directed?

 

[Guneykan Ozgul]

Do you know Faraday's law? It says that $\int{\vec{E}.d\vec{l}}$ = -$\frac{∂Φ}{∂t}$ where Φ is the magnetic flux. So the direction of the induced electric field is dependent on the sign of the change in magnetic flux.