B x) ☑ ☑ 15 × ☑ ☑ Grade Summary Deductions 0% 100% Potential Submissions Attempt(s) Remaining: 3 4% Deduction per Attempt detailed view Part (a) Three-dimensional axes have been placed to the right of the two-dimensional diagram to assist with three-dimensional visualization of the right-hand images. To indicate the appropriate application of the right-hand rule to obtain the direction of the cross product, v × B, drag an image of the right hand to the target area to the right of those unlabeled axes. Hint: If you hold your right hand in the same orientation as the hand image under consideration, the task is greatly simplified. palm faces direction of c (output) This may be applied to the force, FM, due to a magnetic field, B, on a particle with charge a moving with velocity v where FM = qvx B Because a cross-product relation is involved, the directions of the velocity, the magnetic field, and the magnetic force are related by the right-hand rule to determine the direction of the cross product, × B. Multiplication by the scalar charge, q, only changes the magnitude of the resulting vector with the exception that multiplication by a negative charge also reverses the direction. The diagram to the right represents the charge and the velocity of a particle moving in a region of uniform magnetic field. The charge of the particle is indicated explicitly such that +9 > 0 and -q < 0. Using the flattened right hand, the right-hand rule may be applied to a cross-product as follows: = thumb c = axb where direction of a (1st input) direction of b (2nd input) = fingers ☑ ☑ ☑ 15 * X × × ☑ ☑ FM = =qv × B ☑ Because a cross-product relation is involved, the directions of the velocity, the magnetic field, and the magnetic force are related by the right-hand rule to determine the direction of the cross product, v × B. Multiplication by the scalar charge, 9, only changes the magnitude of the resulting vector with the exception that multiplication by a negative charge also reverses the direction. The diagram to the right represents the charge and the velocity of a particle moving in a region of uniform magnetic field. The charge of the particle is indicated explicitly such that +9 > 0 and -q < 0. ☑ ☑ ☑ Grade Summary Deductions 0% 100% Potential Submissions Attempt(s) Remaining: 16% Deduction per Attempt detailed view Part (a) Three-dimensional axes have been placed to the right of the two-dimensional diagram to assist with three-dimensional visualization of the right-hand images. To indicate the appropriate application of the right-hand rule to obtain the direction of the cross product, v × B, drag an image of the right hand to the target area to the right of those unlabeled axes. Hint: If you hold your right hand in the V same orientation as the hand image under consideration, the task is greatly simplified. Part (b) Based upon your response to Part (a), which of the following best indicates the direction of the magnetic force on the charged particle? Recall that the sign of the charge is indicated explicitly such that +q > 0 and -q < 0. ↑ F = 0 Х
B x) ☑ ☑ 15 × ☑ ☑ Grade Summary Deductions 0% 100% Potential Submissions Attempt(s) Remaining: 3 4% Deduction per Attempt detailed view Part (a) Three-dimensional axes have been placed to the right of the two-dimensional diagram to assist with three-dimensional visualization of the right-hand images. To indicate the appropriate application of the right-hand rule to obtain the direction of the cross product, v × B, drag an image of the right hand to the target area to the right of those unlabeled axes. Hint: If you hold your right hand in the same orientation as the hand image under consideration, the task is greatly simplified. palm faces direction of c (output) This may be applied to the force, FM, due to a magnetic field, B, on a particle with charge a moving with velocity v where FM = qvx B Because a cross-product relation is involved, the directions of the velocity, the magnetic field, and the magnetic force are related by the right-hand rule to determine the direction of the cross product, × B. Multiplication by the scalar charge, q, only changes the magnitude of the resulting vector with the exception that multiplication by a negative charge also reverses the direction. The diagram to the right represents the charge and the velocity of a particle moving in a region of uniform magnetic field. The charge of the particle is indicated explicitly such that +9 > 0 and -q < 0. Using the flattened right hand, the right-hand rule may be applied to a cross-product as follows: = thumb c = axb where direction of a (1st input) direction of b (2nd input) = fingers ☑ ☑ ☑ 15 * X × × ☑ ☑ FM = =qv × B ☑ Because a cross-product relation is involved, the directions of the velocity, the magnetic field, and the magnetic force are related by the right-hand rule to determine the direction of the cross product, v × B. Multiplication by the scalar charge, 9, only changes the magnitude of the resulting vector with the exception that multiplication by a negative charge also reverses the direction. The diagram to the right represents the charge and the velocity of a particle moving in a region of uniform magnetic field. The charge of the particle is indicated explicitly such that +9 > 0 and -q < 0. ☑ ☑ ☑ Grade Summary Deductions 0% 100% Potential Submissions Attempt(s) Remaining: 16% Deduction per Attempt detailed view Part (a) Three-dimensional axes have been placed to the right of the two-dimensional diagram to assist with three-dimensional visualization of the right-hand images. To indicate the appropriate application of the right-hand rule to obtain the direction of the cross product, v × B, drag an image of the right hand to the target area to the right of those unlabeled axes. Hint: If you hold your right hand in the V same orientation as the hand image under consideration, the task is greatly simplified. Part (b) Based upon your response to Part (a), which of the following best indicates the direction of the magnetic force on the charged particle? Recall that the sign of the charge is indicated explicitly such that +q > 0 and -q < 0. ↑ F = 0 Х
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter2: Vectors
Section: Chapter Questions
Problem 33P: A trapper walks a 5.0-km straigt4ine distance from his cabin to the lake, as shown in the following...
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