Homework Help is Here – Start Your Trial Now!
Science
Physics
The figure shows a rectangular, 24-turn coil of wire, of dimensions 14 cm by 7.0 cm. It carries a current of 0.14 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 0.68 T. Find the (a) x, (b) y, and (c) z components of the torque acting on the coil about the hinge line.

The figure shows a rectangular, 24-turn coil of wire, of dimensions 14 cm by 7.0 cm. It carries a current of 0.14 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 0.68 T. Find the (a) x, (b) y, and (c) z components of the torque acting on the coil about the hinge line.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
See similar textbooks
icon
Related questions
Question

Can you please help me with this question? Thank you so much!

The figure shows a rectangular, 24-turn coil of wire, with dimensions 14 cm by 7.0 cm. It carries a current of 0.14 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 0.68 T. Find the (a) x, (b) y, and (c) z components of the torque acting on the coil about the hinge line. **Diagram Explanation:** - The diagram illustrates a 3D coordinate system with axes labeled x, y, and z. - A rectangular coil is shown, positioned along the xy plane, with one side aligned along the x-axis and marked as the hinge line. - A magnetic field vector \( \mathbf{B} \) is depicted, directed diagonally in the x-z plane at an angle \( \theta \) of 30°. - A current \( i \) flows through the coil, as indicated by an arrow along one edge of the rectangle. **Torque Components:** - **(a) x-component:** - Value: 0.0 - Units: N·m - **(b) y-component:** - Value: -138.50e-3 - Units: N·m - **(c) z-component:** - Value: 0.0 - Units: N·m These values indicate the different components of the torque acting on the coil due to the magnetic field. The non-zero y-component suggests that torque is primarily acting in this direction.
Transcribed Image Text:The figure shows a rectangular, 24-turn coil of wire, with dimensions 14 cm by 7.0 cm. It carries a current of 0.14 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 0.68 T. Find the (a) x, (b) y, and (c) z components of the torque acting on the coil about the hinge line. **Diagram Explanation:** - The diagram illustrates a 3D coordinate system with axes labeled x, y, and z. - A rectangular coil is shown, positioned along the xy plane, with one side aligned along the x-axis and marked as the hinge line. - A magnetic field vector \( \mathbf{B} \) is depicted, directed diagonally in the x-z plane at an angle \( \theta \) of 30°. - A current \( i \) flows through the coil, as indicated by an arrow along one edge of the rectangle. **Torque Components:** - **(a) x-component:** - Value: 0.0 - Units: N·m - **(b) y-component:** - Value: -138.50e-3 - Units: N·m - **(c) z-component:** - Value: 0.0 - Units: N·m These values indicate the different components of the torque acting on the coil due to the magnetic field. The non-zero y-component suggests that torque is primarily acting in this direction.
Expert Solution
Step 1: Introduce the formula of torque of loop

Physics homework question answer, step 1, image 1

steps

Step by step

Solved in 4 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Magnetic field
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON
SEE MORE TEXTBOOKS