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Problem 1: An early model of the atom, proposed by positive point charge +Ze (the nucleus) at the center of a sphere of radius R with uniformly distributed negative charge -Ze. Zis the atomic number, the number of protons in the nucleus and the number of electrons in the negative sphere after his discovery of the atomic nucleus, had a a. Show that the electric field inside this atom (r< R) is b. What is E at the surface of the atom (-R)? Is this the expected value? Explain. c. A uranium atom has Z-92 and R-0.10 nm. What is the electric field strength at r-½R? [Answers: (a) Show that! (bE, but prove this! (c) 4.63 x 1013 N/C]

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