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Problem 18:   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. Part (d)  The constants in this equation are α = 5.2 V/m5 and γ = 1.39 V/m8. Using this information, 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.

Problem 18:   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. Part (d)  The constants in this equation are α = 5.2 V/m5 and γ = 1.39 V/m8. Using this information, 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.

Physics for Scientists and Engineers: Foundations and Connections
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter26: Electric Potential
Section: Chapter Questions
Problem 55PQ: The electric potential is given by V = 4x2z + 2xy2 8yz2 in a region of space, with x, y, and z in...
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 Problem 18:   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.

Part (d)  The constants in this equation are α = 5.2 V/m5 and γ = 1.39 V/m8. Using this information, 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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