If V (x, y) is the voltage or potential at a point (x, y) in thexy-plane, then the level

Chapter 13, Problem 70

(choose chapter or problem)

If \(V(x, y)\) is the voltage or potential at a point \((x, y)\) in the \(x y\)-plane, then the level curves of \(V\) are called equipotential curves. Along such a curve, the voltage remains constant. Given that

\(V(x, y)=\frac{8}{\sqrt{16+x^{2}+y^{2}}}\)

sketch the equipotential curves at which \(V=2.0, V=1.0\), and \(V=0.5\)

Equation Transcription:

 

Text Transcription:

V(x,y)

(x,y)

xy

V(x,y)=8/ square root 16+x^2+y^2

V=2.0,V=1.0

V=0.5

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