15_2_10B - of F .) Note: In two dimensions, circles passing...

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These are spheres centred on the x -axis and passing through the origin. The field lines are the intersections of the planes y = Ax with these spheres, so they are vertical circles passing through the origin and having centres in the xy -plane. (The technique used to find these circles excludes those circles with centres on the y -axis, but they are also field lines
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Unformatted text preview: of F .) Note: In two dimensions, circles passing through the origin and having centres on the x-axis intersect perpendicularly circles passing through the origin and having centres on the y-axis. Thus the nature of the field lines of F can be determined geometrically from the nature of the equipotential surfaces....
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This note was uploaded on 03/08/2012 for the course MATH 120 taught by Professor Onurfen during the Spring '12 term at Middle East Technical University.

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