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Unformatted text preview: EE 101 Homework 3: DUE NOVEMBER 3TH Thursday 5PM; (THERE IS A COLLECTION HW CABINET MARKED EE101 IN ROOM 67-112 ON THE 6TH FLOOR OF ENGR IV.) 1. Charge is distributed with constant surface charge density on a circular disc of radius a lying in the xy-plane with center at the origin. Show that the potential at a point on the z- axis is given by = 2 2 + 2 | | What is the electric field at that point? What does V become as a becomes very large? What is the smallest value of z for which the potential due to this disc can be calculated as if it were a point charge without making an error greater than 1 percent? 2. a) An infinitely long cylinder has a circular cross section of radius a . It is filled with charge of constant volume density ch . Find E for all points both inside and outside the cylinder. b) An infinitely long hollow cylinder with an inner radius a and an outer radius b is filled with charge whose volume density in cylindrical coordinates is...
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- Fall '11