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A charged particle moving in a magnetic field will experience a magnetic force. Suppose that the magnetic force experienced by the moving charged particle can be described by the vector field F(x,y) = i+ (a) Evaluate F(0,1), F(1,0), F(0,2), F(2,0), F(1,1), F(2,2), F(1,2), F(2,1). (b) Describe F by sketching the vectors from Question 6(a) in the first quadrant plane. (c) Determine if F is a conservative vector field. Given that the charged particle is moving along the straight line from (3,-3) to (0,3), as represented by the solid line in the figure below. (d) (o, 3) (0, 0) x, (3, -3) Figure Q6(d) Calculate the work done by the magnetic force given by the integral where C is the straight line from (3,-3) to (0,3). Now, consider the polygonal region with vertices (0, 3), (0,0) and (3,-3) as shown in the figure above (the region bounded by the dotted and solid lines), use Green's (e) Theorem to calculate the work done where C is the straight line described in Question 6(d).

A charged particle moving in a magnetic field will experience a magnetic force. Suppose that the magnetic force experienced by the moving charged particle can be described by the vector field F(x,y) = i+ (a) Evaluate F(0,1), F(1,0), F(0,2), F(2,0), F(1,1), F(2,2), F(1,2), F(2,1). (b) Describe F by sketching the vectors from Question 6(a) in the first quadrant plane. (c) Determine if F is a conservative vector field. Given that the charged particle is moving along the straight line from (3,-3) to (0,3), as represented by the solid line in the figure below. (d) (o, 3) (0, 0) x, (3, -3) Figure Q6(d) Calculate the work done by the magnetic force given by the integral where C is the straight line from (3,-3) to (0,3). Now, consider the polygonal region with vertices (0, 3), (0,0) and (3,-3) as shown in the figure above (the region bounded by the dotted and solid lines), use Green's (e) Theorem to calculate the work done where C is the straight line described in Question 6(d).

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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Question 6 A charged particle moving in a magnetic field will experience a magnetic force. Suppose that the magnetic force experienced by the moving charged particle can be described by the vector field (a) Evaluate F(0,1), F(1,0), F(0,2), F(2,0), F(1,1), F(2,2), F(1,2), F(2,1). (b) Describe F by sketching the vectors from Question 6(a) in the first quadrant plane. (c) Determine if F is a conservative vector field. Given that the charged particle is moving along the straight line from (3, –3) to (0,3), as represented by the solid line in the figure below. (d) Ty l(0, 3) (0, 0) (3, -3) Figure Q6(d) Calculate the work done by the magnetic force given by the integral where C is the straight line from (3, –3) to (0,3). Now, consider the polygonal region with vertices (0, 3), (0,0) and (3,-3) as shown in the figure above (the region bounded by the dotted and solid lines), use Green's (e) Theorem to calculate the work done where C is the straight line described in Question 6(d).
Transcribed Image Text:Question 6 A charged particle moving in a magnetic field will experience a magnetic force. Suppose that the magnetic force experienced by the moving charged particle can be described by the vector field (a) Evaluate F(0,1), F(1,0), F(0,2), F(2,0), F(1,1), F(2,2), F(1,2), F(2,1). (b) Describe F by sketching the vectors from Question 6(a) in the first quadrant plane. (c) Determine if F is a conservative vector field. Given that the charged particle is moving along the straight line from (3, –3) to (0,3), as represented by the solid line in the figure below. (d) Ty l(0, 3) (0, 0) (3, -3) Figure Q6(d) Calculate the work done by the magnetic force given by the integral where C is the straight line from (3, –3) to (0,3). Now, consider the polygonal region with vertices (0, 3), (0,0) and (3,-3) as shown in the figure above (the region bounded by the dotted and solid lines), use Green's (e) Theorem to calculate the work done where C is the straight line described in Question 6(d).
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