The electric potential in a certain region is given by the equation V(x,y,z) = 3αx2y3 - 2γx2y4z2 where the potential is in volts when the positions are given in meters. The constants in this equation are α = 2.8 V/m5 and γ = 1.44 V/m8 Write an equation for the x-component of the electric field. Write an equation for the y-component of the electric field. Write an equation for the z-component of the electric field.

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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The electric potential in a certain region is given by the equation V(x,y,z) = 3αx2y3 - 2γx2y4z2 where the potential is in volts when the positions are given in meters. The constants in this equation are α = 2.8 V/m5 and γ = 1.44 V/m8

Write an equation for the x-component of the electric field. 

Write an equation for the y-component of the electric field. 

Write an equation for the z-component of the electric field. 

Calculate the magnitude of the electric field at the point (x1,y1,z1) = (-5.0, 2.0, 1.5) m in units of newtons per coulomb. 

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