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Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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(a) Calculate the work done from D to O by the force P of Prob. 13.82 by integrating along the diagonal of the cube. (b) Using the result obtained and the answer to part b of Prob. 13.82, verify that the work done by a conservative force around the closed path OABDO is zero.
Reference to Problem 13.82:
The potential function associated with a force P in space is known to be V(x,y,z) =-(x2 +y2+z2)1/2. (a) Determine the x,y, and zcomponents of P. (b) Calculate the work done by P from O to D by integrating along the path OABD , and show that it is equal to the negative of the change in potential from O to D.

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