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koab1mjr
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Homework Statement
A. Two infinite thin sheets of charge are placed perpendicular to the x axis. The surface charge densities of the two plates are (SC density 1 = 8.5 C/M2) and (SC density 2 = 1.5 C/M2. Placed near plate 2 is a think conducting metal plate with a (SC density of -3.0 C/M) Find the magnitude of the field at the origin
problem has a diagram
d = 60 cm
plate 1 (2d space separation) origin (d space separation) plate of thickness d (d space separation) plate 2
B. what is the surface charge density on the right side of the conducting plate?
Homework Equations
The only equation needed is the E field formula for infinite plates which is surface charge density/ 2 * permitivity constant
The Attempt at a Solution
a.
I was applying superposition to this problem realizing that the conductor will be a different formula of surface charge density/ permitivity constant. With this route I got 4.802e11N/C for plate 1 E field, 8.47e10N/C for plate 2's e field and 3.389e11N/C for the conducting plate. Adding them together gave me 2.26e11N/C. The correct answer is 5.65e11N/C. I noticed that if i disregard the plate all together it works out but it might be a coincidence and I do not understand why which is why I am posing the question on the board.
The conducting plate is generating a field and I know the charges will shift to respond to the charged plate to the right of it. But its stronger than that plate and should still be generating a field. Not sure why you would just ignore it any help would be much appreciated.
b.
Since I have been stuck on part a.
no clue on how to break this down but I assume its having the conductor shift charge to keep its center neutral but I am not sure how to go about doing that. I tried calculating the net field experienced by the plate in the center. Not sure if this is correct
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