Physics Scientists and Engineers II Equation Sheet for Exam | PHY 184, Study notes of Geology

Download Physics Scientists and Engineers II Equation Sheet for Exam | PHY 184 and more Study notes Geology in PDF only on Docsity! Equation Sheet for Midterm Exam 1 > Electric charge Q=Np,e-Noe e=1.602 «107 coulomb kq.q> Conlomb'slaw FF = ~792 r? where k = 8.9910" Nm?/C? ® Electric field E(x) = F (qo = test charge) 0 F =qE(x) > Electric field from a point charge =_kq. E= Adi r2 > The superposition principle for electric field vectors E=E,+E,+E,;+--- Gauss’ Law @ = Ganctosea /E0 ® is the electric flux outward through a closed surface, which is defined by @=$E dA The permittivity of the vacuum is fy =8.85x107? C7 Nm? > The Coulomb constant is related to &o, k=1/ 4225 >» Examples, derived from Gauss’ Law, for the electric field produced by a charge distribution: Charged cylinder E = (outside) 27 e or . . ao Charged insulating plane E = — 2 g 5 2éy oC. Conducting plane E = —Se*face. £0 Uniformly charged sphere ir - E(r) -—t inside 4m egR oF 4m égr~ E(n= outside > The electrostatic potential, V(x) = = p2= V(X%)-VOQ) =] E.ds E(x)=-VV, eg. Ey - Ox The work done by the electric force ifa charged particle moves from xj to x) is W = q(Vi- V2) > The electron-volt (eV) leV =1.602 x107'9 joule } The electric potential as a function of distance r from a point charge is vir) =X r » Capacitor equations cad Vv gg 2 U=1qv =—~=1cV 24 =56=2 uate E* p=” d EA Parallel plate capacitor =C =—— Dielectric filled capacitor C=KCyrcmm > For capacitors connected in parallel, Ceq = Cy + Co: for capacitors connected in series, Coq = C1 C2 (Cy + C2). General sin 6 = a/c c cos 0= b/c ® tan @= a/b c2 =a? +b? b Powers of ten milli=m= 107 micro = = 10° nano =n= 10° pico =p =10? Volume and Area Sphere V = 4/3 x PandA=4nr Cylinder V=7 PLand A=20rL