3 &acirc;€“ Gauss_s Law and Electric Fields

3 &acirc;€“ Gauss_s Law and Electric Fields -...

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Physics 8B 3 – Gauss’s Law and Electric Fields rev 4.0 1 3 – Gauss’s Law and Electric Fields 1. Gauss’s Law says the net electric flux ! E passing through any closed surface is related to the net charge enclosed in that surface. I.e. " E = q encl # 0 or ! E d ! A = q encl " 0 Gaussian Surface # . Which of the following statements are true. a) T or F If q encl = 0, then the E-field on the surface is zero. b) T or F If ! E = 0, there are no charges inside the surface. c) T or F The E-field on a surface depends only on the charges enclosed. 2. Consider an isolated ball of charge –Q, and radius R ball . Figures 1 & 2 show two closed surfaces around or near this charge. (Remember, everything including the surfaces, is 3-dimensional) a) Q: Draw the field lines for this charge on figure 1. b) Q: Based on your picture, is the net flux through surface A positive, negative or zero? c) Q: Based on Gauss’s Law, what is the net flux through surface A? d) P: Use Gauss’s Law to find the magnitude of the electric field at points on surface A. e) Q: Draw the field lines for this charge on figure 2. f) Q: Based on your picture, is the net flux through surface B positive, negative or zero? g) Q: Based on Gauss’s Law, what is the net flux through surface B? h) Q: Is the electric field at points on surface B zero? -Q -Q Figure 1 Figure 2 Surface A, rad. r A Surface B Physics 8B 3 – Gauss’s Law and Electric Fields rev 4.0 2 3. Consider two point charges +Q and –Q, separated by a distance d. Figures 1 & 2

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3 &acirc;€“ Gauss_s Law and Electric Fields -...

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