Figure shows cross sections of five closed surfaces S1, S2, and so on. Assume th

Question

Figure shows cross sections of five closed surfaces S1, S2, and so on. Assume that q1 = 4.4 ?C , q2 = 8.8 ?C , q3 = 0.8 ?C , q4 = 7.8 ?C , q5 = 8.0 ?C , and q6 = 10.0 ?C . Find the net electric flux passing through the surface S1. Find the net electric flux passing through the surface S2. Find the net electric flux passing through the surface S3.Find the net electric flux passing through the surface S4.Find the net electric flux passing through the surface S5. All answers in units --> N?m2/C.

Explanation / Answer

Here, for the net electic flux ,

Using Gauss law ,

net electric flux passing through the surface S1 = 0/epsilon

net electric flux passing through the surface S1 = 0 N.m^2/C

for the surface S2

net electric flux passing through the surface S2 = (q1 - q5 + q2)/epsilon

net electric flux passing through the surface S2 = (4.4 - 8 + 8.8 ) *10^-6/(8.854 *10^-12)

net electric flux passing through the surface S2 = 5.87 *10^5 N.m^2/C

for the surface S3

net electric flux passing through the surface S3 =(q2 + q3 -q5)/epsilon

net electric flux passing through the surface S3 = (8.8 + 0.8 - 8)*10^-6/(8.854 *10^-12)

net electric flux passing through the surface S3 = 1.81 *10^5 N.m^2/C

for the surface S4

net electric flux passing through the surface S4 =(q4 - q5)/epsilon

net electric flux passing through the surface S4 = (7.8 - 8)*10^-6/(8.854 *10^-12)

net electric flux passing through the surface S4 = -2.26 *10^4 N.m^2/C

for the surface S5

net electric flux passing through the surface S5 =(q1 + q2 + q3 + q4 - q5 - q6)/epsilon

net electric flux passing through the surface S5 = (4.4 + 8.8 + 0.8 + 7.8 - 8 - 10)*10^-6/(8.854 *10^-12)

net electric flux passing through the surface S5 = 4.29 *10^5 N.m^2/C

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