Suppose the electric potential due to a charge distribution is written in Cartesian Coordinates as V(x,y,z) = A + Bxy'z where V is in volts and coordinates x, y, z are in meters and A, B are constants. What is the related electric field?

Suppose the electric potential due to a charge distribution is written in Cartesian Coordinates as V(x,y,z) = A + Bxy'z where V is in volts and coordinates x, y, z are in meters and A, B are constants. What is the related electric field?

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 73PQ: A Start with V=2k[(R2+x2)x] for the electric potential of a disk of radius R and excess surface...

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Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

Suppose the electric potential due to a charge distribution is written in Cartesian Coordinates
as V(x,y,z) = A + Bxy²z
where V is in volts and coordinates x, y, z are in meters and A,
B are constants. What is the related electric field?
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