A non-uniform electric field directed along the x-axis penetrates a cubical surface oriented as shown in the figure. The cube has an edge length of L=0.53 m and the field varies from E1=2000 N/C at x=0 to E2=5000 N/C at x=L. Find the total charge (in nC) enclosed by the cube. E, E2

A non-uniform electric field directed along the x-axis penetrates a cubical surface oriented as shown in the figure. The cube has an edge length of L=0.53 m and the field varies from E1=2000 N/C at x=0 to E2=5000 N/C at x=L. Find the total charge (in nC) enclosed by the cube. E, E2

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter25: Gauss’s Law

Section: Chapter Questions

Problem 43PQ: The nonuniform charge density of a solid insulating sphere of radius R is given by = cr2 (r R),...

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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

A non-uniform electric field directed along the x-axis penetrates a cubical surface oriented as shown in the figure. The
cube has an edge length of L=0.53 m and the field varies from E1=2000 N/C at x=0 to E2=5000 N/C at x=L. Find the total
charge (in nC) enclosed by the cube.
E,
E2

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