The figure shows a rectangular, 27-turn coil of wire, of dimensions 14 cm by 4.6 cm. It carries a current of 0.11 A and is hinged along one long side. It is mounted in the xy plane, at an angle of 30° to the direction of a uniform magnetic field of magnitude 0.66 T. Find the (a) x, (b) y, and (c) z components of the torque acting on the coil about the hinge line. Hinge line Q 8 (a) Number i Units
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- In the figure, a rectangular loop carrying current lies in the plane of a uniform magnetic field of magnitude 0.0520 T. The loop consists of a single turn of flexible conducting wire that is wrapped around a flexible mount such that the dimensions of the rectangle can be changed. (The total length of the wire is not changed.) As edge length x is varied from approximately zero to its maximum value of approximately 5.87 cm, the magnitude T of the torque on the loop changes. The maximum value of T is 4.37 x 10-8 N*m. What is the current in the loop? Number apt i Units >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 counterclockwiseIn the figure, the cube is 26.0 cm on each edge. Four straight segments of wire ab, bc, cd, and da form a closed loop that carries a current I = 5.60 A in the direction shown. A uniform magnetic field of magnitude B = 0.0600 T is in the positive y-direction. (a) Determine the magnitude of the magnetic force in segment ab. (b) Determine the magnitude of the magnetic force in segment bc. (c) Determine the magnitude of the magnetic force in segment cd.
- The figure shows a rectangular, 27-turn coil of wire, of dimensions 15 cm by 8.3 cm. It carries a current of 0.081 A and is hinged along one long side. It is mounted in the xy plane, at an angle of 30° to the direction of a uniform magnetic field of magnitude 0.50 T. Find the (a) x, (b) y, and (c) z components of the torque acting on the coil about the hinge line.A rigid rectangular loop, measuring width 0.26 m by height 0.6 m, carries a current I-9.7 A, as shown in the figure. A uniform external magnetic field of magnitude 6 12T in the y direction is present. The bottom segment is in the xy-plane and forms an angle of 18 with the x-axis, as shown. What is the z component of the magnetic force on the top segment of the loop? 0.035 N OON 0280 N O64 N Submil AnsweTwo coils that are separated by a distance equal to their radius and that carry equal currents such that their axial fields add are called Helmholtz coils. A feature of Helmholtz coils is that the resultant magnetic field between the coils is very uniform. Let R = 11.0 cm, I = 23.0 A, and N = 300 turns for each coil. Place one coil in the y-z plane with its center at the origin and the other in a parallel plane at R = 11.0 cm. Calculate the resultant field Bx at x1 = 2.8 cm, x2 = 5.5 cm, x3 = 7.3 cm, and x4= 11.0 cm.
- A uniform magnetic field of magnitude 0.14 T is directed along the positive x-axis. A positron moving at a speed of 4.95x10^6 m/s enters the field along a direction that makes an angle of θ = 85° with the x-axis. The motion of the particle is expected to be a helix. Calculate the pitch p of the trajectory.A square loop with 10 turns and a side length of 5.0 cm lies flat on a tabletop. The loop carries a current of 2.0 A that goes counterclockwise when viewed from above while looking down on the table. (a) What is the magnitude and direction of the magnetic moment of the loop? (b) If there is a uniform magnetic field with magnitude 0.75 T at the location of the loop that heads down through the tabletop and makes an angle of 60 degrees with the surface of the tabletop, then answer the following: (i) what is the magnitude of the net magnetic force on the loop, and (ii) what is the magnitude of the net torque on the loop? (c) Include a diagram of the situation.A rectangular loop in the xy-plane carrying a current I lies in a uniform Magnetic field B = axBx + ayBy + azBz. Determine the Force and the torque on the loop