Phys 0175 - Worksheet _4 Solution

Phys 0175 - Worksheet _4 Solution - PHYS 0175 (Spring 2008)...

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Unformatted text preview: PHYS 0175 (Spring 2008) — Worksheet Problem #4 (Part A) Your Name: K 0 E H L E TA: Score: The smiling face shown in the figure below consists of four charge-carrying elements: (a) a thin non- conducting rod bent into a full circle of radius r1=0.900 m with a net charge q1=+25.0 nC spread uniformly over its length; (b) a thin non-conducting rod bent into a circular arc of radius r2=0.700 m that subtends an arc of 90° about the center of the full circle with a net charge q2=-10.0 nC spread uniformly over its length; and (0) two point charges of charge q3=+7.50 nC and q4=-7.50 nC, respectively, and located symmetrically at a distance r3=0.500 m from the center of the full circle. (1) Write down the general expression forthe electric potential V V 2 K i at a distance r from an isolated point charge q. ls V a vector r orascl ant't ? ’ ’ - h' aarqu Iy K: gflgxmy ,v.M%Z V L5 5L fiat/Qaf (2) Use that expression to determine the electric potential that the two point charges q3 and q4 produce at the center of the full circle, individually and together. *7 \Jg : K ‘_ ((5)6 A709) M: +1’35” V ‘3) h (06%?) V‘teK I —— (351/ v3 +V i5; (3) Determine the electric potential that the full circle of charge produces at the center of the circle. amt/Q LVL»? XQM 3%? M+ @447 Hi (Ado/“C361 Cg: aid Mafia/“CL, 1—- } ’W 21r’ I ‘ 0 ( R (4) Determine the electric potential that the quarter circle of charge produces at the center ofthe full circle. . . , W2, . SLLLLLJZMT'I} \ltt: / ALTLMQ_ K #2 M- (5) What is the total electric potential that all four charge- carrying elements produce at the center of the circle? PHYS 0175 S rin 2008 —Worksheet Problem #4 PartB Your Name: KO 5 L E 12/) Score: Consider the following experiment with two hollow metal spheres: Sphere A has radius RA=10.0 cm and holds a net charge qA=50.0 nC, and Sphere B has a radius RB=6.50 cm and is initially uncharged. The two spheres are supported at rest on insulating stands and are separated by a distance that is large compared to their radii. (1) Taking V=0 at infinity, what is the electric potential V on the surface of each of these spheres? Vt 3“ g" : 4.5amcv‘3i/ RA cf” V3 C7 \/ (2) Now the two separated spheres are briefly connected by means of a long copper wire that is thin enough to retain only a negligible amount of charge. What can you say about the electric potential V on the surface of each of these spheres after this contact by the wire? ( z: (Ll/“1431 fed- M4.th +030 waq (IA—6 (j +€L$2 gm, pa Larisa/Q . (3) Use your answer to (2) above to calculate the net charge on each of the two spheres afterthe contact by the wire. (Hint: you will also need to apply a conservation law.) ( / ’ ( i v’=<ié~:\/ «is, :> ELQBV /. at / A W, B Q}, @A,'Eg~>?fi“pg>$’e Bu} [Km/13L “Mgf Zea- (cmer-WX/ Coca/Lo; = 755,4 tflkeéi kg‘tc'i ,2,ch12, Ltcflx$ CM )ZKQ '_ My answers are: ...
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This homework help was uploaded on 04/18/2008 for the course PHYS 0175 taught by Professor Koehler during the Spring '08 term at Pittsburgh.

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Phys 0175 - Worksheet _4 Solution - PHYS 0175 (Spring 2008)...

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