cross sections of five closed surfaces S 1, S 2, and so on. Assume that q 1 = 5.

Question

cross sections of five closed surfaces S1, S2, and so on. Assume that q1 = 5.0 C , q2 = 8.2 C , q3 = 1.5 C , q4 = 8.8 C , q5 = 7.8 C , and q6 = 9.6 uC.

Find the net electric flux passing through the surface S1.

Express your in newton meters squared per coulomb to two significant figures.

Find the net electric flux passing through the surface S2.

Express your in newton meters squared per coulomb to two significant figures.

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 flux = Q_enclosed / e0 ( from Gauss law)

1. Q_enclosed _S1 = 0

net flux = 0

2. Q_enclosed = q1 + q2 - q5 = 5.4 uC

net flux = (5.4 x 10^-6) / (8.854 x 10^-12)

= 6.10 x 10^5 N m^2/ C

3. Q_enclosed = q2 + q3 - q6 = 0.1 x 10^-6 C

net flux = 11294 N m^2 / C

4. Q = q1 + q2 - q5 = 5.4 uC

net flux = 6.10 x 10^5 N m^2 / C

5. Q = q1 + q2 + q3 + q4 - q5 - q6 = 6.1 uC

flux = 6.89 x 10^5 N m^2 / C

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