A flat circular coil with 106 turns, a radius of 2.43 x10-2 m, and a resistance of 0.328 Ω is exposed to an external magnetic field that is directed perpendicular to the plane of the coil. The magnitude of the external magnetic field is changing at a rate of ΔB/Δt = 0.772T/s, thus inducing a current in the coil. Discover the magnitude of the magnetic field at the center of the coil that is produced by the induced current.