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Evaluate the magnitude of the net magnetic force on a current loop of l₁ = 4.8R, 1₂ = 9.5R, and r= 1.6R in an external magnetic field B = 6.6B, in terms of BORI. Express your answer using two decimal places. Please note that a current of 21 runs on the wire. B 21 4₁ r 0 7₂ X

Evaluate the magnitude of the net magnetic force on a current loop of l₁ = 4.8R, 1₂ = 9.5R, and r= 1.6R in an external magnetic field B = 6.6B, in terms of BORI. Express your answer using two decimal places. Please note that a current of 21 runs on the wire. B 21 4₁ r 0 7₂ X

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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### Problem Statement Evaluate the magnitude of the net magnetic force on a current loop of \( l_1 = 4.8R \), \( l_2 = 9.5R \), and \( r = 1.6R \) in an external magnetic field \( \vec{B} = 6.6B_0 \hat{i} \) in terms of \( B_0 R I \). Express your answer using two decimal places. Please note that a current of \( 2I \) runs on the wire. ### Diagram Explanation The diagram illustrates a current loop in a uniform magnetic field. The loop consists of three parts: 1. A straight segment of length \( l_1 \) running horizontally to the left. 2. A curved segment of radius \( r \) making an angle \( \theta \) at the center. 3. A straight segment of length \( l_2 \) running vertically upwards. - The magnetic field \( \vec{B} \) is directed horizontally to the right (along the x-axis). - The current \( 2I \) flows counterclockwise in the loop, starting from the left end of \( l_1 \), through the curved segment, and then upwards along \( l_2 \). ### Axes The coordinate system is defined with the x-axis pointing to the right, the y-axis pointing upwards, and the z-axis coming out of the plane of the paper. ### Answer Box An answer box is provided to input the calculated magnitude of the net magnetic force. Answer: [ ]
Transcribed Image Text:### Problem Statement Evaluate the magnitude of the net magnetic force on a current loop of \( l_1 = 4.8R \), \( l_2 = 9.5R \), and \( r = 1.6R \) in an external magnetic field \( \vec{B} = 6.6B_0 \hat{i} \) in terms of \( B_0 R I \). Express your answer using two decimal places. Please note that a current of \( 2I \) runs on the wire. ### Diagram Explanation The diagram illustrates a current loop in a uniform magnetic field. The loop consists of three parts: 1. A straight segment of length \( l_1 \) running horizontally to the left. 2. A curved segment of radius \( r \) making an angle \( \theta \) at the center. 3. A straight segment of length \( l_2 \) running vertically upwards. - The magnetic field \( \vec{B} \) is directed horizontally to the right (along the x-axis). - The current \( 2I \) flows counterclockwise in the loop, starting from the left end of \( l_1 \), through the curved segment, and then upwards along \( l_2 \). ### Axes The coordinate system is defined with the x-axis pointing to the right, the y-axis pointing upwards, and the z-axis coming out of the plane of the paper. ### Answer Box An answer box is provided to input the calculated magnitude of the net magnetic force. Answer: [ ]
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