Two very large, nonconducting plastic sheets, each 10.0 cm thick, carry uniform

Question

Two very large, nonconducting plastic sheets, each 10.0 cm thick, carry uniform charge densities , 2, 3 and 4 on their surfaces, as shown in the following figure(Figure 1). These surface charge densities have the values --6 90 C/m2 2-5.00 C/m2, ,-1.60 11C/m2 , and 4 4.00 C/m2. 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 gure 1 of 1 E- 1.98 10 Submit Previous Answer est Answer XIncorrect Try Again Part B 10 cm 12 em 10 cm What is the direction of the electric field at point A, 5.00 cm from the left tace of the left-hand sheet?

Explanation / Answer

A)
at point A

E1 = sigma1/(2*epsilon)

= 6.90*10^-6/(2*8.854*10^-12)

= 3.90*10^5 N/C (towards +x axis)

E2 = sigma2/(2*epsilon)

= 5*10^-6/(2*8.854*10^-12)

= 2.82*10^5 N/C (towards -x axis)

E3 = sigma3/(2*epsilon)

= 1.6*10^-6/(2*8.854*10^-12)

= 0.903*10^5 N/C (towards -x axis)

E4 = sigma4/(2*epsilon)

= 4.00*10^-6/(2*8.854*10^-12)

= 2.26*10^5 N/C (towards -x axis)

so, Enet = E2 + E3 + E4 - E1

= 2.82*10^5 + 0.903*10^5 + 2.26*10^5 - 3.90*10^5

= 2.08*10^5 N/c

B) direction : towards -x axis

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