You have two single turn circular loops of wire oriented such that they have a common center and the planes of the loops are perpendicular. As shown in the figure below, loop #1 lies in the in the xy-plane and has a counterclockwise current when viewed from the positive z-axis, while loop #2 lies in the xz-plane and has a counterclockwise current when viewed from the positive y-axis. (a) If the loops each have a radius of 3.9 cm and they each carry a current of 2.7 A, determine the magnitude of the net magnetic field at the common center. (b) The direction of a vector three dimensions is often given by the angle it makes with the positive x, y, and z-axes. What is the angle between the net magnetic field at the center and the positive x-axis? What is the angle between the net magnetic field at the center and the positive y-axis? What is the angle between the net magnetic field at the center and the positive z-axis?

You have two single turn circular loops of wire oriented such that they have a common center and the planes of the loops are perpendicular. As shown in the figure below, loop #1 lies in the in the xy-plane and has a counterclockwise current when viewed from the positive z-axis, while loop #2 lies in the xz-plane and has a counterclockwise current when viewed from the positive y-axis. (a) If the loops each have a radius of 3.9 cm and they each carry a current of 2.7 A, determine the magnitude of the net magnetic field at the common center. (b) The direction of a vector three dimensions is often given by the angle it makes with the positive x, y, and z-axes. What is the angle between the net magnetic field at the center and the positive x-axis? What is the angle between the net magnetic field at the center and the positive y-axis? What is the angle between the net magnetic field at the center and the positive z-axis?