The electric potential is given byV(r, y, 2) = Ar"y²zwhere A is a constant. Find the electric potential (where i, 3, and k are the unitvectors corresponding to z, y, and z axes in the three dimensional CartesianCoordinate System).Select one:O -Ar'y=(i+ j + k)-3Az?y²zi = 2Ar*yzj – Ar"y?k-Aryzi – Ar'yzj – Ar*y?kO 3Ar²y²zi+2Ar*yzj+ Ar®y?k- Ar'y?z(3i + 2j + k)

Electric field is negative gradient of potential

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The electric potential is given by V(r, y, 2) = Ar®y²z

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 76PQ: An electric potential exists in a region of space such that V = 8x4 2y2 + 9z3 and V is in units of...

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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

The electric potential is given by
V(r, y, 2) = Ar"y²z
where A is a constant. Find the electric potential (where i, 3, and k are the unit
vectors corresponding to z, y, and z axes in the three dimensional Cartesian
Coordinate System).
Select one:
O -Ar'y=(i+ j + k)
-3Az?y²zi = 2Ar*yzj – Ar"y?k
-Aryzi – Ar'yzj – Ar*y?k
O 3Ar²y²zi+2Ar*yzj+ Ar®y?k
- Ar'y?z(3i + 2j + k)

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