8B-Soln03-v1.0.2 - imagine an imaginary cube with a point...

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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) FALSE : Gauss’ Law only states that the net flux of the electric field through the whole surface is 0 in this case. b) FALSE : Gauss’ Law states that the net charge enclosed by the surface is zero. c) FALSE : The flux of the E -field only depends on the charge enclosed. We can
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Unformatted text preview: imagine an imaginary cube with a point charge outside of it. There is no net flux through the cube, but there certainly is a non-zero electric field at all points on the imaginary surface! d) FALSE : Gauss’ Law is one of the four Maxwell’s equations for electromagnetism and is always valid. The reason we care about symmetry relates to the usefullness of using Gauss’ Law to find the E-field based on a charge distribution [the symmetry lets us reduce the ugly surface integral of the dot product of the E-field and area vectors into a simple EA .]...
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This note was uploaded on 03/10/2012 for the course PHYSICS 8B taught by Professor Shapiro during the Spring '07 term at Berkeley.

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