(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The electric potential in a certain region of space is given by V(x,y,z) = αxy + β, in units of volts, where α = 3.29 V/m2 and β = 6.38 V are constants. What is the x-component of the electric field at a point P = (4.50, 5.00, 4.50), where the coordinates are given in meters?

2. Relevant equations

E = -gradient * V

3. The attempt at a solution

Gradient = (fx ,fy ,fz )

Gradient = (3.29y , 3.29x ) = (3.29*5 , 3.29*4.5) = (16.45, 14.805)

V = 3.29xy + 6.38 = 3.29(4.5)(5) + 6.38 = 80.405

E = - (16.45, 14.805)*(80.405)

I got that the x-component is -1322.66 V/m. This is wrong and I can't figure out why.

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# Homework Help: Electric field from potential

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