Electric Potential / Electric Field Question

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SUMMARY

The electric potential in the given region is defined by the equation V = y^2 + 5xy - 2xyz. To find the electric field components at the point (5, 2, 3), the partial derivatives of the potential were calculated: Ex = -5y + 2yz, Ey = -2y - 5x + 2xz, and Ez = 2xy. Substituting the coordinates yields Ex = 2, Ey = 1, and Ez = 20. The initial poster expressed confusion regarding the correctness and significant figures of these results, which were deemed acceptable given the precision of the coordinates provided.

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In a certain region of space, the electric potential is given by V = y^2 + 5xy - 2xyz. Determine the x-, y-, and z-components of the electric field, E, at (5, 2, 3). Do not enter units.

I took the partial derivatives with respect to each coordinate:

Ex = -∂V/∂x = -[5y-2yz] = -5y+2yz
Ey = -∂V/∂y = -[2y + 5x - 2xz] = -2y-5x+2xz
Ez = -∂V/∂z = -[-2xy] = 2xy

Then I plugged the coordinates into the equations
Ex = 2
Ey = 1
Ez = 20

These answers are wrong and they don't have enough significant figures either. I am completely lost please help!
 
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Well, it's a mystery! The problem gave the x,y,z position to essentially infinite precision, so your answer looks to me to be perfectly acceptable. :confused:
 

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