Answered: The electric potential of a certain…

The electric potential of a certain region is given by: V(x,y,z) = [3x²z + 5xy³ + 6z²]V. What is the electric field value at (-1, 1, 1)?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter20: Electric Potential And Capacitance

Section: Chapter Questions

Problem 2OQ

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Concept explainers

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 of a certain region is given by:
V (x, y, z) = [3x²z + 5xy³ + 6z²] V. What is the electric field value at (-1, 1, 1)?
a. [i+ 15j – 15k] V/m
b. [-11i - 15j + 15k] V/m
c. [+11i + 15j – 15k] V/m
d. [-i- 15j + 15k] V/m

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