Figure (a) shows three plastic sheets that are large, parallel, and uniformly ch
ID: 2007836 • Letter: F
Question
Figure (a) shows three plastic sheets that are large, parallel, and uniformly charged. Figure (b) gives the component of the net electric field along an x-axis through the sheets. The scale of the vertical axis is set by Es = 3.0x10^5 N/C. What are the charge densities in all three sheets?
Figure (a) shows three plastic sheets that are large, parallel, and uniformly charged. Figure (b) gives the component of the net electric field along an x-axis through the sheets. The scale of the vertical axis is set by Es = 3.0x10^5 N/C. What are the charge densities in all three sheets?Explanation / Answer
From the graph The values Es = 3.0*10^5 N/C then the electric field between plates 1 and 2 is E12 = 1*10^5 N/C and the electric field between plates 2 and 3 is E12 = 3*10^5 N/C But the electric field to the right of the sheet (3) is E = E1 + E2 - E3 but from the graph E = 0 then E3 = E1 + E2 ------ (1) the electric field between 2 and 3 is E = E1 + E2 +E3 from the graph and from equation (1) 3*10^5 N/C = 2 E3 therefore E3 = 1.5*10^5 N/C the electric field between 1 and 2 is E = E1 - E2 + E3 from the graph 1*10^5 N/C = E1 - E2 + E3 = E1 - E2 + 1.5*10^5 N/C E1 - E2 = - 0.5*10^5 N/C and from equation (1) E1 +E2 = 1.5*10^5 N/C then by adding the above equations E1 = 0.5*10^5 N/C therefore E2 = 1.0*10^5 N/C the charges densitie of a nonconducting sheet is E = / 20 therefore the charge densities 1 = E1 20 = (0.5*10^5) 2 (8.85*10^-12) = 8.85*10^-7 C/m^2 2 = E2 20 = (1.0*10^5)2 (8.85*10^-12) = 17.7*10^-7 C/m^2 and 3 = E3 20 = (1.5*10^5)2 (8.85*10^-12) = 26.55*10^-7 C/m^2Related Questions
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