A 5.00 turn circular coil of wire is centered on the origin in the xy-plane. The coil has radius r = 0.150 m and carries a counterclockwise current I = 1.70 A (see the figure below). %3D HINT (a) Calculate the magnitude (in A· m2) of the coil's magnetic moment. A. m2 (b) Find the magnitude (in N • m) of the magnetic torque on the coil due to a 0.300 T magnetic field that is directed at an angle 0 = 59.0° from the positive z-direction and has components only in the xz-plane. N.m

A single circular loop of radius 0.19 m carries a current of 3.0 A in a magnetic field of 0.92 T. What is the maximum torque exerted on this loop? Express your answer using two significant figures. ΠΙ ΑΣΦ ? T= N.m

A rod of mass 0.720 kg and radius 6.00 cm rests on two parallel rails (see figure below) that are d = 12.0 cm apart and L = 45.0 cm long. The rod carries a current of I = 36.0 A in the direction shown and rolls along the rails without slipping. A uniform magnetic field of magnitude 0.400 T is directed perpendicular to the rod and the rails. If it starts from rest, what is the speed of the rod as it leaves the rails? (Assume that the rod is of uniform density.) L 2.07 X You appear to have omitted the translational kinetic energy of the rod. m/s

You are designing a new solenoid and experimenting with material for each turn. The particular turn you are working with is a circular loop of radius 5.00 cm that carries a current of 15.0 A. Calculate the magnetic field B at the center of the loop. Use 4 × 10-7 T-m/A for the permeability of free space μo. Consider the coordinate system in the figure. B = Incorrect D 21 L. T

A loop of wire has the shape shown in the drawing. The top part of the wire is bent into a semicircle of radius r = 0.28 m. The normal to the plane of the loop is parallel to a constant magnetic field (p = 0°) of magnitude 0.82 T. What is the change AO in the magnetic flux that passes through the loop when, starting with the position shown in the drawing, the semicircle is rotated through half a revolution? B (into paper) ΔΦ = i

As shown in the figure below, two long parallel wires (1 and 2) carry currents of I₁ = 3.14 A and I₂ = 4.55 A in the direction indicated. d (a) Determine the magnitude and direction of the magnetic field at a point midway between the wires (d = 10.0 cm). magnitude μT direction counterclockwise from the +x-axis. ▸ (b) Determine the magnitude and direction of the magnetic field at point P, located d = 10.0 cm above wire 1. UT magnitude direction counterclockwise from the +x-axis