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Find the net electric flux through the closed surface S 1 shown in cross section

ID: 1872098 • Letter: F

Question

Find the net electric flux through the closed surface S1 shown in cross section in the figure.

Find the net electric flux through the closed surface S2 shown in cross section in the figure.

Find the net electric flux through the closed surface S3 shown in cross section in the figure.

Find the net electric flux through the closed surface S4 shown in cross section in the figure.

Find the net electric flux through the closed surface S5 shown in cross section in the figure.

(answers should be in N*m^2/C units)

Constants The three small spheres shown in the figure (Figure 1)carry charges q1- 3.95 nC , g2 =-7.75 nC , and G-250 nC Figure

Explanation / Answer


Net flux through the closed surface S1 is phi_1 = q1/eo = (3.95*10^-9)/(8.85*10^-12) = 446.32 Nm^2/C

Net flux through the closed surface S2 is phi_2 = q2/eo = (-7.75*10^-9)/(8.85*10^-12) = -875.71 Nm^2/C

Net flux through the closed surface S3 is phi_3 = (q1+q2)/eo = (3.95-7.75)*10^-9/(8.85*10^-12)


Net flux through the closed surface S4 is phi_4 = (q1+q3)/eo = (3.95+2.5)*10^-9/(8.85*10^-12) = 728.8 Nm^2/C


Net flux through the closed surface S5 is phi_5 = (q1+q2+q3)/eo = (3.95+2.5-7.75)*10^-9/(8.85*10^-12) = -146.89 Nm^2/C

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