The three small spheres shown in the figure (Figure 1) carry charges q1 = 4.05 n

Question

The three small spheres shown in the figure (Figure 1) carry charges q1 = 4.05 nC , q2 = -7.70 nC , and q3 = 2.50 nC .

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.

Do your answers to parts A through E depend on how the charge is distributed over each small sphere?

Why or why not?

Explanation / Answer

net electric flux = charge enclosed / epsilon naught

EF(net) S1 = q1/eo = 4.05 *10^-9 / 8.85*10^-12 = 457.627 Nm2/C

EF(net) S2 = q2/eo = 7.70*10^-9 / 8.85*10^-12 = 870.05 Nm2/C

EF(net) S3 = q2-q1/eo = (7.70-4.05)*10^-9 / 8.85*10^-12 = 412.43 Nm2/C

EF(net) S4 = q3+q1 /eo = (4.05 + 2.5 )*10^-9 / 8.85*10^-12 = 740.11Nm2/C

EF(net) S5 = q1 + q2 + q3 / eo = (7.7 - 4.05 -2.5) *10^-9 / (8.85*10^-12) = 50.84Nm2/C

no it does not depend on how the charge is distributed inside the sphere.It only depends on the amount of charge that is enclosed by the surface

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