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The coil in the figure carries current i = 1.77 A in the directic is parallel to an xz plane, has 4 turns and an area of 5.95 × 10 lies in a uniform magnetic field B = (1.93î - 2.33} - 3.46 E What is the magnetic potential energy of the coil-magnetict system? (b) What is the magnetic torque (in unit-vector nota

The coil in the figure carries current i = 1.77 A in the directic is parallel to an xz plane, has 4 turns and an area of 5.95 × 10 lies in a uniform magnetic field B = (1.93î - 2.33} - 3.46 E What is the magnetic potential energy of the coil-magnetict system? (b) What is the magnetic torque (in unit-vector nota

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)...
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The image above presents a conceptual problem involving a coil and a magnetic field, suitable for educational purposes. Here's a detailed transcription and explanation: ### Problem Statement: A coil is illustrated with the following characteristics: - It carries a current \( i = 1.77 \, \text{A} \). - The coil is parallel to an xz plane. - It has 4 turns. - The coil's area is \( 5.95 \times 10^{-3} \, \text{m}^2 \). - It is placed in a uniform magnetic field given by \( \mathbf{B} = (1.93 \, \hat{i} - 2.33 \, \hat{j} - 3.46 \, \hat{k}) \, \text{mT} \). ### Questions: (a) Calculate the magnetic potential energy of the coil-magnetic field system. (b) Determine the magnetic torque on the coil, expressed in unit-vector notation. ### Diagram Explanation: The diagram features a coil aligned along the xz plane, with axes labeled \( x \), \( y \), and \( z \). The current \( i \) flows through the coil in the direction indicated. The diagram provides a visual aid for understanding the spatial orientation of the coil relative to the magnetic field. ### Inputs for Answers: - **(a) Box for Number**: Input the calculated magnetic potential energy. - **Unit**: Select the appropriate unit for potential energy. - **(b) Boxes for Number**: Input the components of the magnetic torque vector in terms of \( \hat{i} \), \( \hat{j} \), and \( \hat{k} \). - **Unit**: Choose the correct unit for torque. This setup encourages students to apply concepts from electromagnetism, linking theoretical calculations with visual interpretation.
Transcribed Image Text:The image above presents a conceptual problem involving a coil and a magnetic field, suitable for educational purposes. Here's a detailed transcription and explanation: ### Problem Statement: A coil is illustrated with the following characteristics: - It carries a current \( i = 1.77 \, \text{A} \). - The coil is parallel to an xz plane. - It has 4 turns. - The coil's area is \( 5.95 \times 10^{-3} \, \text{m}^2 \). - It is placed in a uniform magnetic field given by \( \mathbf{B} = (1.93 \, \hat{i} - 2.33 \, \hat{j} - 3.46 \, \hat{k}) \, \text{mT} \). ### Questions: (a) Calculate the magnetic potential energy of the coil-magnetic field system. (b) Determine the magnetic torque on the coil, expressed in unit-vector notation. ### Diagram Explanation: The diagram features a coil aligned along the xz plane, with axes labeled \( x \), \( y \), and \( z \). The current \( i \) flows through the coil in the direction indicated. The diagram provides a visual aid for understanding the spatial orientation of the coil relative to the magnetic field. ### Inputs for Answers: - **(a) Box for Number**: Input the calculated magnetic potential energy. - **Unit**: Select the appropriate unit for potential energy. - **(b) Boxes for Number**: Input the components of the magnetic torque vector in terms of \( \hat{i} \), \( \hat{j} \), and \( \hat{k} \). - **Unit**: Choose the correct unit for torque. This setup encourages students to apply concepts from electromagnetism, linking theoretical calculations with visual interpretation.
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