A 5.00 turn circular coil of wire is centered on the origin in the xy-plane. The coil has radius r = 0.250 m and carries a counterclockwise current I = 2.00 A (see the figure below). In an x y z coordinate plane, a circular coil of wire is centered on the origin and is in the x y plane. The coil has radius r and carries a counterclockwise current I, as viewed from the +z-direction. An arrow labeled vector B starts at the origin and extends into the x z plane at an angle ? from the +z-axis. 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 0.500 T magnetic field that is directed at an angle ? = 65.0° from the positive z-direction and has components only in the xz-plane. ? N · m

A 5.00 turn circular coil of wire is centered on the origin in the xy-plane. The coil has radius r = 0.250 m and carries a counterclockwise current I = 2.00 A (see the figure below). In an x y z coordinate plane, a circular coil of wire is centered on the origin and is in the x y plane. The coil has radius r and carries a counterclockwise current I, as viewed from the +z-direction. An arrow labeled vector B starts at the origin and extends into the x z plane at an angle ? from the +z-axis. 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 0.500 T magnetic field that is directed at an angle ? = 65.0° from the positive z-direction and has components only in the xz-plane. ? N · m

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In the figure below, an iron bar sitting on two parallel copper rails, connected to each other by a resistor, is pulled to the right with a constant force of magnitude Fapp = 1.45 N. The friction between the bar and rails is negligible. The resistance R = 8.00 02, the bar is moving at a constant speed of 1.65 m/s, the distance between the rails is , and a uniform magnetic field B is directed into the page. JE (a) What is the current through the resistor (in A)? (b) If the magnitude of the magnetic field is 2.90 T, what is the length (in m)? (c) What is the rate at which energy is delivered to the resistor (in W)? ( (d) What is the mechanical power delivered by the applied constant force (in W)?
In the figure below, an iron bar sitting on two parallel copper rails, connected to each other by a resistor, is pulled to the right at a constant speed. The resistance R = 6.00 02, the distance between the rails is l = 1.20 m, and a uniform 2.10 T magnetic field is directed into the page. At what speed (in m/s) should the bar be moved to produce a current of 0.500 A in the resistor? {R m/s Fapp ℗
A rectangular loop of wire with dimensions 1.50 cm by 8.00 cm and resistance R = 0.600 is being pulled to the right out of a region of uniform magnetic field. The magnetic field has magnitude B = 3.50 T and is directed into the plane of figure, see below. At the instant when the speed of the loop is |v|= 3.00 m/s and it is still partially in the field region, what force (magnitude and direction) does the magnetic field exert on the loop?
A rectangular coil consists of N = 130 closely wrapped turns and has dimensions a = 0.400 m and b = 0.300 m. The coil is hinged along the y axis, and its plane makes an angle 0 = 30.0° with the x axis (figure). y B a (a) What is the magnitude of the torque exerted on the coil by a uniform magnetic field B = 0.510 T directed in the positive x direction when the current is I = 1.20 A in the direction shown? N. m (b) If you are looking downward from the positive y direction, what is the expected direction of rotation of the coil? O clockwise O counterclockwise
A rectangular coil consists of N = 140 closely wrapped turns and has dimensions a = 0.400 m and b = 0.300 m. The coil is hinged along the y axis, and its plane makes an angle 0 = 30.0° with the x axis (figure). (a) What is the magnitude of the torque exerted on the coil by a uniform magnetic field B = 0.500 T directed in the positive x direction when the current is I = 1.20 A in the direction shown? 10 What is the magnetic moment of this current loop? N •m (b) If you are looking downward from the positive y direction, what is the expected direction of rotation of the coil? clockwise counterclockwise
A circular loop of radius 7.5 cm carries a current of 22 A. A flat coil of radius 0.81 cm, having 69 turns and a current of 1.2 A, is concentric with the loop. The plane of the loop is perpendicular to the plane of the coil. Assume the loop's magnetic field is uniform across the coil. What is the magnitude of (a) the magnetic field produced by the loop at its center and (b) the torque on the coil due to the loop?
A rectangular coil consists of N = 180 closely wrapped turns and has dimensions a = 0.400 m and b = 0.300 m. The coil is hinged along the y axis, and its plane makes an angle 8 = 30.0° with the x axis (figure). B y (a) What is the magnitude of the torque exerted on the coil by a uniform magnetic field B = 0.820 T directed in the positive x direction when the current is I = 1.20 A in the direction shown? N.m (b) If you are looking downward from the positive y direction, what is the expected direction of rotation of the coil? O clockwise O counterclockwise
A flat circular coil with 153 turns, a radius of 2.46 x 10-² m, and a resistance of 0.597 £ is exposed to an external magnetic field that is directed perpendicular to the plane of the coil. The magnitude of the external magnetic field is changing at a rate of AB/At = 0.743 T/s, thereby inducing a current in the coil. Find the magnitude of the magnetic field at the center of the coil that is produced by the induced current. Number i Units
A rectangular coil consists of N = 130 closely wrapped turns and has dimensions a = 0.400 mand b = 0.300 m. The coil is hinged along the y axis, and its plane makes an angle ? = 30.0°with the x axis (figure). a) What is the magnitude of the torque exerted on the coil by a uniform magnetic field B = 0.570 Tdirected in the positive x direction when the current is I = 1.20 A in the direction shown? (b) If you are looking downward from the positive y direction, what is the expected direction of rotation of the coil? clockwise counterclockwise
A loop of wire with radius r= 0.183 m is in a magnetic field of magnitude B as shown in the figure. The magnetic field is perpendicular to the plane of the loop. B changes from B1= 0.22 T to B2= 7.5 T in Δt = 7.5 s at a constant rate. (a) Express the magnetic flux Φ going through a loop of radius r assuming a constant magnetic field B. (b) Express the change in the magnetic flux going through this loop, ΔΦ, in terms of B1, B2 and r. (c) Express the magnitude of the average induced electric field, E, induced in the loop in terms of ΔΦ, r and Δt.
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