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Suppose an electric field E(x, y, z) has the formE x = ax,

Chapter 2, Problem 55P

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QUESTION:

Problem 55P

Suppose an electric field E(x, y, z) has the form

E x = ax,    Ey    = 0, Ez = 0

where a is a constant. What is the charge density? How do you account for the fact that the field points in a particular direction, when the charge density is uniform? [This is a more subtle problem than it looks, and worthy of careful thought.]

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QUESTION:

Problem 55P

Suppose an electric field E(x, y, z) has the form

E x = ax,    Ey    = 0, Ez = 0

where a is a constant. What is the charge density? How do you account for the fact that the field points in a particular direction, when the charge density is uniform? [This is a more subtle problem than it looks, and worthy of careful thought.]

ANSWER:

Solution 55P

Step 1 of 3:

In this question, we need to define charge density for the given electric field,  and also explain how to account for field points in a particular direction when the charge density is uniform

Data given

Such that  , ,

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