Gauss's Law Electricity: Electric Field Between 2 Sheets

AI Thread Summary
The electric field between two square metal plates is given as 180 N/C, with each plate measuring 1.0 m on a side and separated by 3.0 cm. The charge density is calculated using the formula charge density = charge / (area x Eo), resulting in a value of 3.186e-9 C/m². The charge on each plate is determined to be 3.186e-9 C, confirming that the distance between the plates does not affect the charge calculation. The discussion emphasizes the importance of understanding electric field relationships and charge density in this context. Overall, the calculations align with Gauss's Law principles.
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Homework Statement


The electric field between two square metal plates is 180 N/C. The plates are 1.0 m on a side and are separated by 3.0 cm, as in the figure. What is the charge on each plate? Neglect edge effects.
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Homework Equations


i don't know how to make any fancy sybols sorry

charge density = charge / (area x Eo)

electric field = charge density / 2

The Attempt at a Solution



180 = charge density/(2 x 8.85e-12)
charge density = 3.186e-9

3.186e-9 = Q / 1
Q = 3.186e-9

I know that the distance between the two sheets has to be taken into consideration, but I'm not sure where.
 
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never mind, i figured it out. distance doesn't matter at all.

[STRIKE]180[/STRIKE] 90 = charge density/(2 x 8.85e-12)
charge density = [STRIKE]3.186e-9[/STRIKE] 1.593e-9

[STRIKE]3.186e-9[/STRIKE] 1.593e-9 = Q / 1
Q = [STRIKE]3.186e-9[/STRIKE] 1.593e-9
 
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