The infinite sheets in the figure below are both positively charged. The sheet o

Question

The infinite sheets in the figure below are both positively charged. The sheet on the left has a uniform surface charge density of 84.4 mu C/m^2, and the one on the right has a uniform surface charge density of 42.2 mu C/m^2. (a) What are the magnitude and direction of the net electric field at points A, B, and C? E^rightarrow_A = N/C E^rightarrow_B = N/C E^rightarrow_C = N/C (b) What is the force exerted on an electron placed at points A, B, and C? F^rightarrow_A = N F^rightarrow_B = N F^rightarrow_C = N

Explanation / Answer

electric field due to infinite sheet E = sigma/(2*e0)

part(a)

EA = -E1 - E2 = -sigma1/(2*e0) - sigma2/(2*e0)

EA = -(sigma1+sigma2)/(2*e0)

EA = -(84.4+42.2)*10^-6/(2*8.85*10^-12)

EA = -71.52*10^5 N/C

EB = E1 - E2 = sigma1/(2*e0) - sigma2/(2*e0)

EB = (sigma1-sigma2)/(2*e0)

EB = (84.4-42.2)*10^-6/(2*8.85*10^-12)

EB = 23.84*10^5 N/C

Ec = E1 + E2 = sigma1/(2*e0) + sigma2/(2*e0)

Ec = (sigma1+sigma2)/(2*e0)

Ec = (84.4+42.2)*10^-6/(2*8.85*10^-12)

Ec = 71.52*10^5 N/C

==========================================

part(b)

FA = EA*e = 71.52*10^5*1.6*10^-19 = 1.14*10^-12 N

FB = EB*e = -23.84*10^5*1.6*10^-19 = -3.81*10^-13 N

Fc = Ec*e = -71.52*10^5*1.6*10^-19 = -1.14*10^-12 N

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