shows cross sections of five closed surfaces S1, S2, and so on. Assume that q1 =

Question

shows cross sections of five closed surfaces S1, S2, and so on. Assume that q1 = 5.0 C , q2 = 8.6 C , q3 = 0.8 C , q4 = 9.0 C , q5 = 6.6 C , and q6 = 9.6 C .

- Find the net electric flux passing through the surface S3. Express your in newton meters squared per coulomb to two significant figures.

- Find the net electric flux passing through the surface S4. Express your in newton meters squared per coulomb to two significant figures.

- Find the net electric flux passing through the surface S5. Express your in newton meters squared per coulomb to two significant figures.

Explanation / Answer

Net electric flux is given by:

phi = Qnet/e0

A.

Net flux through surface S3

phi3 = Qnet/e0

Qnet = (q2 + q3 - q6)

Qnet = (8.6 + 0.8 - 9.6) = -0.2 uC

phi3 = -0.2*10^-6/(8.85*10^-12) = -22598.87 N-m^2/C = -2.26*10^4 N-m^2/C

B.

Net flux through surface S4

phi4 = Qnet/e0

Qnet = (q4 - q5)

Qnet = (9.0 - 6.6) = 2.4 uC

phi4 = 2.4*10^-6/(8.85*10^-12) = 271186.44 N-m^2/C = 2.71*10^5 N-m^2/C

C.

Net flux through surface S5

phi5 = Qnet/e0

Qnet = (q1 + q2 + q3 + q4 - q5 - q6)

Qnet = (5 + 8.6 + 0.8 + 9.0 - 6.6 - 9.6) = 7.2 uC

phi5 = 7.2*10^-6/(8.85*10^-12) = 813559.32 N-m^2/C = 8.13*10^5 N-m^2/C

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