Physics 1302: Formula Sheet Ch 19-22F =kq1q2r2F = q0EU = q0VE = VsPoint chargeE =kqr2,V =kqr,U =kq1q2r = EAcos(✓) =qenclosed✏0I =QtV = IRP = IVR =⇢LASeriesReq= R1+ R2+ R3...1/Ceq=1/C1+1/C2+1/C3...Parallel1/Req=1/R1+1/R2+1/R3...Ceq= C1+ C2+ C3...XIin=XIoutXClosed lo opV =0C =QVC =✏0AdCharging a capacitorq(t)=C✏(1 et/⌧)I(t)=✏R(et/⌧)⌧ = RCF = qvBsin(✓)F = LIBsin(✓)r =mvqBWireB =µ0I2⇡rSolenoidB = µ0nLN loopsB =Nµ0I2Rµ = 106e =1.6 ⇥ 1019Ck =8.99 ⇥ 109Nm2/C (electric constant)✏0=8.85 ⇥ 1012C2/Nm2µ0=4⇡ ⇥107Tm/APhysics 1302: Formula Sheet Ch 23,25,26,28=BAcos ✓E = NtV = IR|E| = Bv`|E| = LItL = µ0n2A` = µ0✓N2`◆AI =ER(1 et/⌧)⌧ =LRNpNs=VpVs=IsIpf0= f⇣1 ±uc⌘c = fUB=(1/2)LI2uB=B22µ0uE=✏0E22u = uE+ uB=2uE=2uBI = ucErms=Emaxp2Brms=Bmaxp2E = cBI =12I0I = I0cos2✓f = ±12R1f=1do+1dim =hiho= didov = c/nn1sin ✓1= n2sin ✓2y = L tan ✓Two-slitConstructive d sin ✓ = m; m =0, 1, 2,...Destructive d sin ✓ =(m 1/2); m =1, 2, 3,...Single slitDestructive W sin ✓ = m; m =1, 2, 3,...Di↵raction GratingPrincipal Maxima d sin ✓ = m; m =0, 1, 2,...d =1/NThin FilmsConstructive2ntvacuum12= m; m =0, 1, 2,...Destructive2ntvacuum= m; m =0, 1, 2,...✓min=1.22Dµ0=4⇡ ⇥107Tm/Ac =3.00 ⇥ 108m/sµ = 106; n = 109; k = 103; M = 106✏0=8.85 ⇥ 1012C2/Nm2Physics 1302: Formula Sheet Ch 30-32, 16-18TF=95TC+ 32TC=59(TF 32)T = TC+ 273.15L = ↵L0TV = V T; ⇡ 3↵Q = cmTQ = kA✓TL◆tQ = mLPnet= eA(T4 T4s)PV = NkT = nRTM = NAm(12mv2)avg= Kavg=32kTvrms=r3kTm=r3RTMU =32NkT =32nRTfpeak=(5.88 ⇥ 1010s1K1)Tc = fE = hf =hcf0=W0hKmax= hf W0p =hpy h2⇡Et h2⇡1= R 1n2f1n2i!nf=1, 2, 3,...; ni= nf+1,nf+2,nf+3,...U = Q WW = P VW = NkT lnVfVi= nRT lnVfViS =QT = 0 =hmec(1 cos ✓)rn= r1n2; n =1, 2, 3...En=(13.6 eV)Z2n2; n =1, 2, 3...Nmaxe= 2(2` + 1)E = mc2N = N0etT1/2=ln 2R = N0et= R0et1 cal = 4.186 J1eV=1.60 ⇥ 1019J1u=1.660540 ⇥ 1027kg1 u = 931.5MeV/c21curie=1Ci=3.7 ⇥ 1010decays/s1 b e cq u er el = 1 Bq = 1 decay/s1 ro e ntgen = 1 R = 2.58 ⇥ 104C/kg1 rad = 0.01J/kgdose in rem = dose in rad ⇥ RBEr1=5.29 ⇥ 1011m =5.67 ⇥ 108W/(m2K4)k =1.38 ⇥ 1023J/KR =8.31 J/(mol K) (universal gas constant)NA=6.022 ⇥ 1023h =6.63 ⇥ 1034Jsc =3.00 ⇥ 108m/sR =1.097 ⇥ 107m1(Rydberg constant)me=9.11 ⇥ 1031kg = 0.0005485799 ump=1.673 ⇥ 1027kg = 1.007276 umn=1.675 ⇥ 1027kg = 1.008665 uµ = 106; n = 109; k = 103; M = 106K(n = 1); L(n = 2); M(n = 3); N(n = 4)s(` = 0); p(` = 1); d(` = 2); f(` = 3)W = Qh Qce
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