Zero flux fieldsConsider the vector field F = ?ax + by, cx

Chapter 13, Problem 59E

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QUESTION:

Zero flux fields

Consider the vector field \(\mathbf{F}=\langle a x+b y, c x+d y\rangle\). Show that F has zero flux across any circle centered at the origin and oriented counterclockwise for any a, b, c, and d, provided \(a=-d\).

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QUESTION:

Zero flux fields

Consider the vector field \(\mathbf{F}=\langle a x+b y, c x+d y\rangle\). Show that F has zero flux across any circle centered at the origin and oriented counterclockwise for any a, b, c, and d, provided \(a=-d\).

ANSWER:

Solution 59E

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