In a long straight current$-$carrying wire a branching in the form of a circular loop of radius R is made. The wire is free to rotate around the horizontal axis passing through the linear portion of the wire. The system is placed into a uniform vertical magnetic field of strength B$,$ pointing in the opposite direction to the gravitational field of strength g$.$ If the linear mass density of the wire is p$,$ find the angle of the circular loop deflection away from the vertical direction.