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Student[VectorCalculus][ScalarPotential] - compute the scalar potential of a vector field
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Calling Sequence
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ScalarPotential(v)
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Parameters
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v
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vector field or Vector-valued procedure; specify the components of the vector field
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Description
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If  is a vector field, an algebraic expression is returned. If  is a Vector-valued procedure, a procedure is returned.
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Examples
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![with(Student[VectorCalculus])](/support/helpjp/helpview.aspx?si=4480/file05176/math65.png)
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![v := Vector[column]([[x], [y], [z]], ["x", "y", "z"], "field")](/support/helpjp/helpview.aspx?si=4480/file05176/math72.png)
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![Vector[column]([[x], [y], [z]], ["x", "y", "z"], "field")](/support/helpjp/helpview.aspx?si=4480/file05176/math86.png)
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![v := Vector[column]([[y], [-x], [0]], ["x", "y", "z"], "field")](/support/helpjp/helpview.aspx?si=4480/file05176/math93.png)
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![SetCoordinates(spherical[r, phi, theta])](/support/helpjp/helpview.aspx?si=4480/file05176/math115.png)
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![spherical[r, phi, theta]](/support/helpjp/helpview.aspx?si=4480/file05176/math118.png)
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![v := Vector[column]([[r], [0], [0]], ["r", "phi", "theta"], "field")](/support/helpjp/helpview.aspx?si=4480/file05176/math125.png)
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| (9) |
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