Concept explainers
Equipotential curves Consider the following potential functions and graphs of their equipotential curves.
a. Find the associated gradient field F = ▿ϕ.
b. Show that the
c. Show that the vector field is orthogonal to the equipotential curve at all points (x, y).
d. Sketch two flow curves representing F that are everywhere orthogonal to the equipotential curves.
40. ϕ (x, y) = x2+ 2y2
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Calculus: Early Transcendentals (3rd Edition)
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