The electric potential in a specific area varies with position as V(x) = ax2 - bx + c, where a = 2.9 V/m2, b = 12.5 V/m, and c = 14 V. Part (a)  Find the electric field vector E in this area in terms of the given variables. Be sure to include a unit vector for direction.  E = ______ Part (b)  What is the magnitude of the electric field, in volts per meter, at x = 1.0 m?  |E(1.0 m)| = ______ Part (c)  What is the magnitude of the electric field, in volts per meter, at x = 5.0 m?  |E(5.0 m)| = ______

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 specific area varies with position as V(x) = ax2 - bx + c, where a = 2.9 V/m2b = 12.5 V/m, and c = 14 V.

Part (a)  Find the electric field vector E in this area in terms of the given variables. Be sure to include a unit vector for direction. 

E = ______

Part (b)  What is the magnitude of the electric field, in volts per meter, at x = 1.0 m? 

|E(1.0 m)| = ______

Part (c)  What is the magnitude of the electric field, in volts per meter, at x = 5.0 m? 

|E(5.0 m)| = ______

 

 

 

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