An electric potential function is given by V(x, y) = 3xy^2 - 2x^2 y - 2 where MKS units are used. Show all work neatly. Don't forget to include units in your answers. Use the back if more room is needed, but note accordingly. What is the electric field vector, E(x, y), in rectangular coordinates? What is the magnitude and direction of the electric field at the point (x,y) = (2,3)? What is the divergence of the electric field at the point (x,y) = (2,3)? What is the curl of the electric field at the point (x,y) = (2,3)?
An electric potential function is given by V(x, y) = 3xy^2 - 2x^2 y - 2 where MKS units are used. Show all work neatly. Don't forget to include units in your answers. Use the back if more room is needed, but note accordingly. What is the electric field vector, E(x, y), in rectangular coordinates? What is the magnitude and direction of the electric field at the point (x,y) = (2,3)? What is the divergence of the electric field at the point (x,y) = (2,3)? What is the curl of the electric field at the point (x,y) = (2,3)?
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An electric potential function is given by V(x, y) = 3xy^2 - 2x^2 y - 2 where MKS units are used. Show all work neatly. Don't forget to include units in your answers. Use the back if more room is needed, but note accordingly. What is the electric field vector, E(x, y), in rectangular coordinates? What is the magnitude and direction of the electric field at the point (x,y) = (2,3)? What is the divergence of the electric field at the point (x,y) = (2,3)? What is the curl of the electric field at the point (x,y) = (2,3)?
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