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0.5 Over a certain region of space, the electric potential is given by V = 5Ax – 3Bx²y+ 2Cyz2 %3D - where A, B and C are constants. Find the expressions for the x, y, and z components of the electric field over this region. what is the magnitude of the field at the point P. which has coordinates (1.0m, 0.0m, - 2.Om)?

0.5 Over a certain region of space, the electric potential is given by V = 5Ax – 3Bx²y+ 2Cyz2 %3D - where A, B and C are constants. Find the expressions for the x, y, and z components of the electric field over this region. what is the magnitude of the field at the point P. which has coordinates (1.0m, 0.0m, - 2.Om)?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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0.5 Over a certain region of space, the electric potential is given by V = 5Ax – 3Bx²y + 2Cyz² where A, B and C are constants. Find the expressions for the x. y, and z components of the electric field over this region. Wihat is the magnitude of the field at the point P. which has coordinates (1.0m, 0.0m, - 2.Om)?
Transcribed Image Text:0.5 Over a certain region of space, the electric potential is given by V = 5Ax – 3Bx²y + 2Cyz² where A, B and C are constants. Find the expressions for the x. y, and z components of the electric field over this region. Wihat is the magnitude of the field at the point P. which has coordinates (1.0m, 0.0m, - 2.Om)?
Expert Solution
Step 1: Introduction and Approach.

Given that:-

V=5Ax-3Bx2y+2Cyz2

 

Since, it is known that Electric field(E) is the negative derivative of potential w.r.t distance. Hence,

E=-dVdr

 

Also, Electric field(E) is a vector quantity which is given by:-

E=Exi+Eyj+Ezk

Where i,j and k are unit vectors along x,y and z direction respectively.

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