Soln3 – Gauss_s Law and Electric Fields

Soln3 – Gauss_s Law and Electric Fields -...

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8B Worksheet Answers 3. Gauss’ Law and Electric Fields 1. a) b) Negative - the lines are entering the surface. c) Φ A = - Q / ε 0 d) | E (surface A)| = " Q 4 #$ 0 r A 2 Note that surface B is a closed ellipsoid surface (like the shell of an egg), not a disk, which is an open surface. e) f) Zero - every field line that enters surface B also leaves surface B. g) Φ B = 0 h) No - the electric field will vary depending on how far from the charge we are, as Coulomb’s Law says. The flux of the electric field through all of surface B, however, is zero [the electric field would be zero if no lines entered or left the surface - saying the flux is zero amounts to saying that the number leaving minus the number entering is zero.]
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2. a) b) Positive - the lines are leaving the surface. c) Φ A = + Q / ε 0 d) No - the contribution from just charge + Q has that form, but the contribution from the negative charge will change the electric field. e) f) Zero - every field line that leaves surface B also enters surface B. g) Φ B = 0. h) No, by the same reasoning as part (h) from problem 1. 3. a)
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Soln3 – Gauss_s Law and Electric Fields -...

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