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. y D #2 (a) If the loops each have a radius of 2.8 cm and they each carry a current of 4.0 A, determine the magnitude of the net magnetic field at the common center. T (b) The direction of a vector in three dimensions is often given by the angle 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? 0 What is the angle between the net magnetic field at the center and the positive z-axis?

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