8. The potential of a certain charge distribution is given by V = A(x? + y? – 2:2): (a) The electric field is E = -V = A(-2xi - 2y3 + 4zk) (b) If the work done by the field when a 1.5µC test charge moves from (x,y,z)=(0,0,.25)m to the origin of the coordinate system is measured to be 60µJ, the coefficient A is: = Wrield = U-Uf = qV; - qVs q(Vs- V) = 1.5 x 10-(A{0² + o² – 2(.25)²} – A{o² + o² – 2(0)²}) → A = -320V/m? (True, False) 60 x 10-6

8. The potential of a certain charge distribution is given by V = A(x? + y? – 2:2): (a) The electric field is E = -V = A(-2xi - 2y3 + 4zk) (b) If the work done by the field when a 1.5µC test charge moves from (x,y,z)=(0,0,.25)m to the origin of the coordinate system is measured to be 60µJ, the coefficient A is: = Wrield = U-Uf = qV; - qVs q(Vs- V) = 1.5 x 10-(A{0² + o² – 2(.25)²} – A{o² + o² – 2(0)²}) → A = -320V/m? (True, False) 60 x 10-6

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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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

8. The potential of a certain charge distribution is given by V = A(x² + y? – 2z2):
(a) The electric field is E = -VV = A(-2xî – 2y3 + 4zk)
(b) If the work done by the field when a 1.5µC test charge moves from (x,y,z)=(0,0,.25)m to the origin of the coordinate system is measured
to be 60µJ, the coefficient A is:
= Wfield = Ui – Ug = qV; – qV; = q(V5 – V.) = 1.5 x 10-°(A{o² + o² – 2(.25)²} – A{o² + o² – 2(0)²}) →
(A{o² + o² – 2(.25)²} – A{o² + o² – 2(0)²}) → A = -320V/m
(True, False)
60 x 10¬o
||

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