The three small spheres shown in the figure below carry charges q1 = 4.50 nC, q2 = -7.90 nC, and q3 = 3.10 nC. Find the net electric flux through each of the following closed surfaces shown in cross section in the figure. (a) S1 N
Gauss's law:
φ = qin/ε0
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a) q1/ε0 = 4.5e-9/8.85e-12 = 508 N.m2/s
b) q2/ε0 = -7.90e-9/8.85e-12 = -893 N.m2/s
c) (q1+q2)/ε0 = (4.5e-9-7.90e-9)/8.85e-12 = -384 N.m2/s
d) (q1+q3)/ε0 = (4.5e-9+3.10e-9)/8.85e-12 = 859 N.m2/s
e) (q1+q2+q3)/ε0 = (4.5e-9-7.90e-9+3.10e-9)/8.85e-12 = -33.9 N.m2/s
f) No, because according to the Gauss's law electric flux in independent of distribution over each small sphere
The three small spheres shown in the figure below carry charges q1 = 4.50 nC, q2...
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