The three small spheres shown in the figure (Figure 1) carry charges q 1 = 3.50n

Question

The three small spheres shown in the figure (Figure 1) carry charges q1 = 3.50nC , q2 = -7.50nC , and q3 = 2.50nC

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

Let's solve all five parts at the same time.

Net electric flux of a closed surface is, by Guass's law, equivalent to the charge that surface encloses divided by the permittivity of free space, e_0. Therefore, all you have to do to calculate flux is

Flux = Charge enclosed / 8.85 x 10^(-12)

That's it! So, if charge enclosed is q1 and q2, you would plug in -3.40*10^(-9) as charge enclosed and divide by 8.85 x 10^(-12). That's all you have to do.

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