Physics 1 Problem Solutions 201

Physics 1 Problem Solutions 201 - Chapt 25 Electric...

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Unformatted text preview: Chapt. 25 Electric Potential 197 f) Using Taylor’s series, find the first order in small z/R form of the solution for the potential: i.e., the approximate form the solution for being very close to the disk. Eliminate q in favor of σ and k in favor of ε . Recall k = 1 4 πε . g) What is the z-component of the electric field E z for the small z/R case? 025 qfull 00500 3 5 0 tough thinking: potential of disk of charge 2 7. You have a disk of radius R . The surface charge density is given by σ ( r ) = σ /r where r is the radial coordinate of the disk. a) What is the total charge q on the disk? b) What is the electric potential at distance z above the disk on its axis. HINT: You will probably need a table of integrals. c) What is the potential at z if R → ∞ ? d) What is far-field limiting form for the potential at z (i.e., when z >> R )? 001 qfull 00600 1 3 0 easy math: electrostatic conductor potential energy Extra keywords: Needs a bit more work....
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