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# hw01 - Princeton University-Physics 501 Problem Set 1(If...

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Princeton University—Physics 501 Problem Set 1 Due: Sept. 27, 2011 (If you get stuck, see the hints below.) 1) A disk of radius, a , has a surface charge density σ . What is the potential and electric field a distance x from the center of the disk along its symmetry axis? 2) A initially uncharged conductor is charged by repeated contact with a metal plate, which, after each contact is recharged to a quantity of charge Q . If q is the charge of the conductor after the first operation, what is the ultimate charge on the conductor? 3) (J 1.5). The time averaged potential of a neutral hydrogen atom is given by Φ = q 4 π 0 e - αr r 1 + αr 2 where q is the magnitude of the electronic charge, and α - 1 = a 0 / 2, a 0 being the Bohr radius. Find the distribution of charge (both continuous and discrete) that will give this potential and interpret your result physically. 4) A simple model for the gate region of MOSFET is two parallel conducting planes sep- arated by a thin layer of insulating material (SiO 2 or “glass”). If such a structure is

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hw01 - Princeton University-Physics 501 Problem Set 1(If...

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