A slab of insulating material has thickness 2d and is oriented so that its faces are parallel to the yz-plane and given by the planes x=d and x=−d . The y- and z-dimensions of the slab are very large compared to d and may be treated as essentially infinite. The slab has a uniform positive charge density ρ . Part B Using Gauss's law, find the magnitude of the electric field due to the slab at the points 0≤x ≤d . Express your answer in terms of the variables ρ , x , d , and ϵ 0 .  Part C What is the direction of the electric field due to the slab at the points 0≤x ≤d ? What is the direction of the electric field due to the slab at the points ?  Part D Using Gauss's law, find the magnitude of the electric field due to the slab at the points x≥d . Express your answer in terms of the variables ρ , x , d , and ϵ 0 . Part E What is the direction of the electric field due to the slab at the points x≥d ?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter19: Electric Forces And Electric Fields
Section: Chapter Questions
Problem 50P: An insulating solid sphere of radius a has a uniform volume charge density and carries a total...
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A slab of insulating material has thickness 2d and is oriented so that its faces are parallel to the yz-plane and given by the planes x=d and x=−d . The y- and z-dimensions of the slab are very large compared to d and may be treated as essentially infinite. The slab has a uniform positive charge density ρ .

Part B Using Gauss's law, find the magnitude of the electric field due to the slab at the points 0≤x ≤d . Express your answer in terms of the variables ρ , x , d , and ϵ 0 . 

Part C What is the direction of the electric field due to the slab at the points 0≤x ≤d ? What is the direction of the electric field due to the slab at the points ? 

Part D Using Gauss's law, find the magnitude of the electric field due to the slab at the points x≥d . Express your answer in terms of the variables ρ , x , d , and ϵ 0 .

Part E What is the direction of the electric field due to the slab at the points x≥d ? 

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