Consider a circular loop of wire with resistance and of non-changing radius that is mounted on a vertical shaft and rotated at an angular frequency in a region of uniform magnetic perpendicular to the axis of rotation, as illustrated below. Here the area vector oscillates over time such that the projection , and if the area vector orientation starts perpendicular to the magnetic field the magnetic flux if given by . With this information provided determine the magnitude of the induced current around the conducting loop at the time