The three small spheres shown in the figure below carry charges q_1 = 4.10 nC, q

Question

The three small spheres shown in the figure below carry charges q_1 = 4.10 nC, q_2 = -8.40 nC, and q_3 = 2.20 nC. Surface What it encloses S_1 q_1 S_2 q_2 S_3 q_1 and q_2 S_4 q_1 and q_2 S_5 q_1 and q_2 and q_3 Find the net electric flux through each of the following closed surfaces shown in cross section in the figure. S_1 N middot m^2/C S_2 N middot m^2/C S_3 N middot m^2/C S_4 N middot m^2/C S_5 N middot m^2/C Do your answers to parts (a) through (e) depend on how the charge is distributed over each small sphere? Yes No Why or why not?

Explanation / Answer

a)

here

s1 = q1 / e0 = 4.1 * 10^-9 / (8.85 * 10^-12 ) = 463.27 Nm^2 / C

b)

s2 = q2 / e0 = -8.4 * 10^-9 / 8.85 * 10^-12 = -949.15 Nm^2 / C

c)

s3 = (q1 + q2 ) / e0

s3 = ( 4.1 - 8.4 ) * 10^-9 / 8.85 * 10^-12 = -485.87 Nm^2/C

d)

s4 = (q1 + q3) / e0

s4 = (4.1 + 2.2) * 10^-9 / 8.85 * 10^-12 = 711.86 Nm^2/C

e)

s5 = (q1 + q2 + q3) / e0

s5 = (4.1 - 8.4 + 2.2 ) * 10^-9 / 8.85 * 10^-12

s5 = -237.28 Nm^2/C

f)

no

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