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26. Consider the contour e shown in Figure P1.26 and the vector field F=2p(z+1) cos o a, p(z² + 1) sin da, +2pz cos o a,. 5 Po 5 73 5 C Figure P1.26 (a) Evaluate F.de. (b) Evaluate F.de where c₁ is the straight line joining (p = po, = 0, z = 0) to (p = 5,6 0,z = 0). (c) Are the results of a and b consistent with the field F being conservative? (A field is conservative when its line integral along any closed contour is zero.)

26. Consider the contour e shown in Figure P1.26 and the vector field F=2p(z+1) cos o a, p(z² + 1) sin da, +2pz cos o a,. 5 Po 5 73 5 C Figure P1.26 (a) Evaluate F.de. (b) Evaluate F.de where c₁ is the straight line joining (p = po, = 0, z = 0) to (p = 5,6 0,z = 0). (c) Are the results of a and b consistent with the field F being conservative? (A field is conservative when its line integral along any closed contour is zero.)

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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26. Consider the contour e shown in Figure P1.26 and the vector field F=2p(z+1) cos o a, p(z² + 1) sin da, +2pz cos o a,. 5 Po 5 73 5 C Figure P1.26 (a) Evaluate F.de. (b) Evaluate F.de where c₁ is the straight line joining (p = po, = 0, z = 0) to (p = 5,6 0,z = 0). (c) Are the results of a and b consistent with the field F being conservative? (A field is conservative when its line integral along any closed contour is zero.)
Transcribed Image Text:26. Consider the contour e shown in Figure P1.26 and the vector field F=2p(z+1) cos o a, p(z² + 1) sin da, +2pz cos o a,. 5 Po 5 73 5 C Figure P1.26 (a) Evaluate F.de. (b) Evaluate F.de where c₁ is the straight line joining (p = po, = 0, z = 0) to (p = 5,6 0,z = 0). (c) Are the results of a and b consistent with the field F being conservative? (A field is conservative when its line integral along any closed contour is zero.)
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