A cross section of Earth's magnetic field can be represented as a vector field in which the
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A cross section of Earth's magnetic field can be represented as a vector field in which the center of Earth is located at the origin and the positive y-axis points in the direction of the magnetic north pole. The equation for this field is
where m is the magnetic moment of Earth. Show that this vector field is conservative.
Transcribed Image Text:
F(x, y) = M(x, y)i + N(x, y)j m - (x² + y²)5/2[3xyi + (2y² — x²)j]
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Fx y Mx yi Nx yj M M dy N So 3mxy x 12 N dx 3mxx y7 5y x y ...View the full answer
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