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Avslgiiirit #1-Electric Charges and Forces Din.: wed., Jan. 16 On a future assignment (probably Assignment #4) you will show that after the wires connected the anal ball gains a charge of +219 nC. How mauy charged partickes were trausfcrred betweeu the sphere and the Van de Graafl generator? ) What is the charge on the Van de Graaff generator now? t) Suppose that by a long distanee we tucau 2.00 m (this is long cuongh for our purposes). In other words the center of the metal ball is 2.00 m away from the center of the Van de Graaff generator. How strong is the force that the Van de Graaff geuerator exerts on the sphere? Would this likely be noticeable? (x) In part If you had to make an approximation (did you realice you were making au approximation?. If the ball was not a loug distance from the Van de Graaff geuerator would have been able to make this approxiustiou Would yon be able to do the calculation of the forees that the objects exert on each other (Hint: think about part Ic.) h) lons are constantly generated. naturally, in air. This often happens berantse of cosmic rays or ultraviolet light interacting with the air. Suppose that an N ion is produced near to the metal Iball and the Van de Graaff geuerator. The Van de Graatf generator is at the origin, the metal ball is at 2.00i m and the ion is at 2.00i + 0.300j m. Find the acceleration (vector) uf the ion. 2. Five charges are arranged as tollows .A +2.00 nC charge at the origin. . A +3.00 nC charge at posiion. 1.00+0.50j . A +3.00 sC charge at position, 1.00 0,5l) cu. . A -4.00 C charge at position. 1.00 0.50j en . A -1.00 nC charge at pusition, 1.0u-0.50 c. Find the total electric force on the 2 nC chatge (hint to make this quicker: you can just brute force this caleulation. But if you use synimetry yon can reduce the effort rquired by at least half. 3. Two identical spheres, A aud B. made out of uon-condnctiug (i.e, iusnlating) matcrials are given ideutical charges. +yunifortnly distributed over their surfaces. They are placedd so that their ceuters are separated y some distance. This distance is not much greater thatn the radius of the spheres Two other identical splheres., C and D, are made ont of metal. They are the same size as splies A and B. They are also eaclı given a charge, ty. and placeid a distaice, r, away tom earh otes I other words tlie setup of c and D is identical to the setup of A and B, exrept for the material that the spheres are made of Compare the fozces that A and B exert on each other with the toces that C and D exet ou each other. E they are ditterent, explain why they are different and whicli is larger I they ate the satue, explaiti why tlhey are tle d. The Eartlh is not nentra. It has a charge of roughly -6.76 x 10 C, which is touglly nifornly distribntest over t he Eart (a) low large is the force thnt the Earth exerts on au clectron noar its srlace Is this lorce atractive o epulsive? Compaze this force with the gravitational force that the Eauth exerts ou the electron (b) Suppose we wanted to levitate a super clip using the electric fotce that the Euth exerts on it. The y- clip has a ass of 1.0g How much charge must be given to the paper cli (and what siga) for the pay clip to be able to float motionless in the air (c) How many electrous need to be added/removed from the paper cli to acieve the ontcone of part Express this as a fraction of the total mumber of electrons iu the paper clup. Does it seem ike this wo a practically achievable thing to do? tional questions for practice (will not be marked) 15), P-35. P-13, P-51. P-75 2-S. P22-15. P22-23. P22-33. P22-55. P22-61, P22-67. P22-69. P22-77, P22-81 hapter 25: CQ-1 (this meaus Conceptual Question 1). Co-2, CQ-4, CQ-6. CQ-7. CO-12. P-15 ( 2


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