? Ch 21. Coulomb's law ( Newton's law ) F === 19 19. . similar to F = 6 mm. . . Fnat = F12 + F's + F10 + ... Fu Fin =(Fin COSA)} +(Fm sin Q)] La Sum Fx Lo Sum Fy Fuet = ( Fx ' + Fy " to fit answer 0 = tant Q= 1800 To find equilibrium; Fi = - F. « opposite direction F. = F2 let r = total solve for relationship bet .? and L Ch 22. Electric Field ( 1 ) Evector tangent to field line &some direction · Fe xq , same charge repel , opposites attract O . - 2 + 2 = 0 € electrically neutral . conductor = free e- . i = de , current = charge / time @ point . F = + 19:19- ( coulombs law ) , E. = 8.85 x10"0 ?/\'m* . Fret = vector sum or K = 8.99 x 107 Nm3 / C' . Charged particle outade shell a shell & charged particle . Charged particle incole shell , no SF due to shell . Charge on conducting spherical shel spread uniformly over surface Vector Dot Product a=ax++a++azk a.b = a+b+ + a,b, + ab2 5 = b. T + b ] + bek a+b =1a/b/cost length , not absolute value => cost = a. 5 18161 Charged particle field in surrounding space. 2 · E E ? free %. E change È by particle w/ charge q @ distance : , E fields are vectors Find ETOT after cancelling vectors , then * sing / cast E by dipole , E = E (+) - E(-) } = = = = = d 3 . Field lines - visualize direction & magnitude of fields + - - . e dipole : 19 .1= 12 . 1 . distanced 3 . electric dipele moment P = qd, magnitude - + + · E = ze t = = > D dsur Vey pour & carter .: Eat, E magnitude decrease faster than now. changes on it Eby line of charge , sum small charge do via DE then JOE 1=de , d= == = = Ad? Distance between pant & charge I calculate for vectors , replace _ Integrate , eliminate variable (ds = rdb ) - surface charge density E due to charged disk, E =E (1-2 - T2+g ) , 0 = 2 45 superimpose ring E = = 92 JOE : - ATLE. (Z+R+) 3/2 distance radars along ors - > diff direction Point change in E field , F = q E, +, same direction F = ma = QE y = day+', L= V++ += CHAP. 23 Gauss E = { conducting surface ={EdA =ges E- line of charge E - JE- sheet of charge E = ARE a spherical shell E = ( ATLE. R? ) ! PER V ===== = 2. in uniform sphere of charge E = 0 rCR CHAP.