A coil consists of 130 circular loops of wire of radius 4.4 cm. A current of 0.46 A runs through the coil, which is oriented vertically and is free to rotate about a vertical axis (parallel to the z-axis). It experiences a uniform horizontal magnetic field in the positive x-direction. When the coil is oriented parallel to the x-axis, a force of 1.2 N applied to the edge of the coil in the positive y-direction can keep it from rotating. Calculate the strength of the magnetic field. {0.145 T}