Coulomb s Law Worksheet Solutions
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1 PHLYZIS ulb Law Wrkht Slutin. w charg phr 0 c apart attract ach thr with a frc f N. What frc rult fr ach f th fllwing chang, cnir paratly? a Bth charg ar ubl an th itanc rain th a. b An uncharg, intical phr i tuch t n f th phr, an thn takn far away. c h paratin i incra t 30 c. n f th phr l half it charg 4 (3 4 4(3E (3E 6N 6N.E 3.3E 5N 7N (3E 6N.5E 6N. h frc f lctrtatic rpulin btwn tw all pitivly charg bjct, A an B, i N whn AB = 0.. What i th frc f rpulin if AB i incra t a 0.4 b 0.36 Sinc, a Dubl th itanc, uartr th frc. (3.6E 5N 4 b ripl th itanc, ruc th frc t/th it riginal valu. E 6N (3.6E 5N 4E 6N 3. alculat th frc btwn charg f an if thy ar 5.0 c apart. k (5E - 8(E N.8E N ( What i th agnitu f th frc a charg rt n a charg lcat.5 away? k (.5E - 6(3.E - 4. N (.5
2 5. w phr; 4.0 c apart, attract ach thr with a frc f. 0 N. Dtrin th agnitu f th charg n ach, if n ha twic th charg (f th ppit ign a th thr. k ( k(( (.E N (.04 ((.03E.06E 6. w ual charg f agnitu. 0 7 princ an lctrtatic frc f N. Hw far apart ar th cntr f th tw charg? k ( k(( (.E - 7(.E E - 4N 7. Hw any lctrn ut b rv fr a nutral, ilat cnucting phr t giv it a pitiv charg f ? 8E 8 n n 5E lctrn.6e 8. What will b th frc f lctric rpulin btwn tw all phr plac.0 apart, if ach ha a ficit f 0 8 lctrn? n (E 8 k lctrn (.6 E pr lctrn.6e (.6E -(.6E -.30E N (
3 . w intical, all phr f a.0 g ar fatn t th n f a 0.60 lng light, flibl, inulating fihlin. h fihlin i upn by a hk in th ciling at it act cntr. h phr ar ach givn an intical lctric charg. hy ar in tatic uilibriu, with an angl f 30 btwn th tring halv, a hwn. alculat th agnitu f th charg n ach phr. (Hint: tart ff by rawing a ULL, DEAILED BD f n f th charg phr..30 y tan5 (.00kg(.8 / y.06n y tan n Spratin itanc (.06N tan5 (.30(in N.55 y 5 k.0055n k (.55.E 7N.3 5 (.3in(5
4 0. hr ngativly charg phr, ach with a charg f , ar fi at th vrtic f an uilatral triangl wh i ar 0 c lng. alculat th agnitu an irctin f th nt lctric frc n ach phr. 4.. k (4E - 6(4E N ( N 3.56N N = 5.34 N 3.56N 6.8N N Inta f giving thr iffrnt irctin, w can giv n irctin that appli t all 3 frc. utwar, 50 away fr ach i
5 . hr bjct, carrying charg f , , an , rpctivly, ar plac in a lin, ually pac fr lft t right by a itanc f alculat th agnitu an irctin f th nt frc acting n ach charg that rult fr th prnc f th thr tw n 4 charg k (-4E - 6(-6E - 6 ( N, k (-4E - 6(E - 6 (.3364N[.534N [ lft.3364n,.3364n[ n 6 charg k (-4E - 6(-6E - 6 ( N, k (-6E - 6(E - 6 (.5.484N[.8N [ right.484n,.484n[ n charg k (-E - 6( (.5 E N,.484N[ k.484n[ (-4E - 6(E - 6 (.3364N[.6N [ lft.3364n,.3364n[
6 . Dlicat aurnt inicat that th Earth ha an lctric fil urruning it, iilar t that arun a pitivly charg phr. It agnitu at th urfac f th Earth i abut 00 N/. What charg wul an il rp f a kg hav t hav, in rr t rain upn by th Earth lctric fil? Giv yur anwr in culb? E N 00 rain upn abv th arth, th Elctric rc ut prfctly balanc th wight. N 00 N (E 5kg( E 6 3. put th gravitatinal frc an th lctric frc btwn th lctrn an th prtn in th hyrgn at if thy ar tr apart. hn calculat th rati f t g. / g k g G.3E3 (6.67E - (-.60E -( (5.3E - kg (.E - 3kg(.67E - 7kg (5.3E -.60E - 8.E 8N 3.6E 47N 4. h arth i u t grun bjct. hat i bcau it nutral. If th arth i nutral, thn w will b nutral a wll (inc w ar tuching it. Nutral n t attract nutral.
7 7. w pint charg f +.0 an +4.0 ar fi at ppit n f a tr tick. Whr n th tr tick (if anywhr! cul (a a fr lctrn an (b a fr prtn b plac that thy ar in lctrtatic uilibriu (an wn t v. k k ( ( ( (E - 6( (4E c Plac th lctrn r prtn at 4.4 c, whr th charg i plac at 0c. 8. Uing th a rbital itanc fr prbl #3 abv, fin th rbital p an th cntriptal acclratin (in g f an lctrn rbiting th nuclu f a hyrgn at (auing th rbit t b circular. c v R 8.E 8N c (.E (5.3E 3kg v v.e6 a c v R.03E.E g'
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