Question
Asked Sep 7, 2019
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Two very large, nonconducting plastic sheets, each 10.0 cm thick, carry uniform charge densities σ 1 , σ 2 , σ 3 and σ 4 on their surfaces, as shown in the following figure(Figure 1). These surface charge densities have the values σ 1 = -7.70 μC/ m^2 , σ 2 =5.00μC/ m^2 , σ 3 = 2.70 μC/ m^2 , and σ 4 =4.00μC/ m^2 . Use Gauss's law to find the magnitude and direction of the electric field at the following points, far from the edges of these sheets.

Part A What is the magnitude of the electric field at point A , 5.00 cm from the left face of the left-hand sheet? Express your answer to three significant figures and include the appropriate units.

Part B What is the direction of the electric field at point A , 5.00 cm from the left face of the left-hand sheet?

Part C What is the magnitude of the electric field at point B , 1.25 cm from the inner surface of the right-hand sheet? Express your answer to three significant figures and include the appropriate units.

Part D What is the direction of the electric field at point B, 1.25 cm from the inner surface of the right-hand sheet?

Part E
What is the magnitude of the electric field at point C, in the middle of the right-hand sheet?
Express your answer to three significant figures and include the appropriate units.

Part F
What is the direction of the electric field at point C, in the middle of the right-hand sheet?

/
A
Ko
10 cm 12 cm 10 cm
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/ A Ko 10 cm 12 cm 10 cm

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Expert Answer

Step 1

Part A:

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Step 2

Part B: Since, the magnitude in part A is negative, direction is towards the left.

Step 3

Part C:...

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E3-E+E-EE --0+-- 280 105 2(8.85x1012-7.70 +5.00 - 2.70-4.00] =-5.31x10N/C

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Electric Charges and Fields

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