Electric Field between two positivly chared surfaces

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To find the y component of the electric field between two positively charged surfaces, use the equation E = σ/ε, where σ is the surface charge density. The electric fields from each sheet only have a y component, and their effects depend on the region considered: above, between, or below the sheets. In the region between the sheets, the fields add together, while outside the sheets, they subtract. It's important to analyze the direction of the electric fields rather than assume a net zero field in the center. The discussion emphasizes the need to compute the electric fields on each side and consider their directions for accurate results.
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Homework Statement


Figure 24-34 shows cross-sections through two large, parallel, nonconducting sheets with identical distributions of positive charge with surface charge density σ = 2.62 x 10-22 C/m2. What is the y component of the electric field at points (a) above the sheets, (b) between them, and (c) below them?
http://edugen.wiley.com/edugen/courses/crs1141/art/qb/qu/c24/Fig23_38.gif


Homework Equations


E=\sigma/\epsilon


The Attempt at a Solution


my question is how would u find the y component as when using the equation you get E? would you use trig or is there another way?
 
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There is ONLY a y component from each plate, isn't there? Just ask yourself in each region whether the E fields add or subtract. No trig needed.
 
ic...just one quick question, does the rule for cylinders apply for this question so that the center has a net electric field of 0?
 
Compute the E fields on each side, consider direction and add them. There is no automatic rule telling you that the E field in the middle is zero.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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