(adsbygoogle = window.adsbygoogle || []).push({}); 1. We are given a static system of conductors and charge. We know that x=y is a plane of equal potential (for example, a system that can give such result is an infinite plate in that plane). Which of the following fields can represent an electric field of such system?

a. [tex]\vec{E}[/tex] = az[tex]\hat{x}[/tex] - az[tex]\hat{y}[/tex]

b. [tex]\vec{E}[/tex] = a[tex]\hat{x}[/tex]

c. [tex]\vec{E}[/tex] = a[tex]\hat{x}[/tex] - a[tex]\hat{y}[/tex]

d. [tex]\vec{E}[/tex] = ay[tex]\hat{x}[/tex] - ax[tex]\hat{y}[/tex]

e. [tex]\vec{E}[/tex] = a[tex]\hat{x}[/tex] + a[tex]\hat{y}[/tex] + a[tex]\hat{z}[/tex]

The attempt at a solution:

I figured that since the plane extends infinitely in the z direction, no field can be present there. This is also because of the first axiom of electrostatics relating to the flux being outward normal to the plane. Therefore, choice e is eliminated. In fact, the z axis should have no effect on the field. a is also eliminated.

Also, choice b has no dependency on the y axis, but the E field should be partially dependent on it...b is eliminated.

We also know that the electric field due to an infinitely charged plane is constant. I want to say that the answer is therefore c...I am lead me to believe that choice d can be eliminated, but I'm not sure. I'm stuck between c and d.

Any suggestions?

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# Homework Help: Electric Field of an Infinite Plane

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