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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).

Physics for Scientists and Engineers
Physics for Scientists and Engineers
10th Edition
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter29: Sources Of The Magnetic Field
Section: Chapter Questions
Problem 8P: One long wire carries current 30.0 A to the left along the x axis. A second long wire carries...
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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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