Constants and Formulas for Foundations of Physics I Test 1 | PHYS 2306, Study notes of Physics

Download Constants and Formulas for Foundations of Physics I Test 1 | PHYS 2306 and more Study notes Physics in PDF only on Docsity! Constants and Formulas for Test 1, Phys 2306 CONSTANTS c = 3× 108 m s , k = 1 4π²0 = 9× 109 N ·m 2 C2 , ²0 = 1 4πk = 8.85× 10−12 C 2 N ·m2 e = 1.6× 10−19C, me = 9.1× 10−31kg, NA = 6.02× 1023, I0 = 10−12W/m2 TRYGONOMETRY cosα+ cosβ = 2 cos α− β 2 cos α+ β 2 , sinα+ sinβ = 2 cos α− β 2 sin α+ β 2 A cos (ωt− kx) +A cos (ωt− kx+ ϕ) = ³ 2A cos ϕ 2 ´ cos ³ ωt− kx+ ϕ 2 ´ A cos (ωt− kx) +A cos (ωt+ kx+ ϕ) = 2A cos ³ ωt+ ϕ 2 ´ cos ³ kx+ ϕ 2 ´ A cos (ωt+ kx)−A cos (ωt− kx) = −2A sin kx sinωt WAVES ∂2y(x, t) ∂t2 = v2 ∂2y(x, t) ∂x2 v = λ T = λf = ω k , k = 2π λ , ω = 2π T = 2πf, vy = ∂y(x, t) ∂t vstring = s F μ , vfluid/gas = s B ρ , vsolid = s Y ρ , v = r γp ρ = r γRT M , γmono = 5 3 , γdia = 7 5 , pmax = BkA Pav, string = 1 2 p μFω2A2 = 1 2 μvω2A2, I = Pav S , I = Pav 4πr2 , Isound wave = 1 2 p ρBω2A2 = 1 2 ρvω2A2 β = (10dB) log10 µ I I0 ¶ , I0 = 10 −12W/m2, fbeat = |f1 − f2| , fL = fS · v ± vL v (L moving), fL = fS · v v ∓ vS (S moving) ELECTRICITY F = k q1q2 r2 r̂, E = F q0 , E = k q r2 r̂, τ = p×E, τ = pE sinϕ, U = −p ·E, p = qd E = k Z dq r2 r̂, Econductor = σ ²0 , Esheet = σ 2²0 , Eline = λ 2π²0r , Edipole, on axis = 1 2π²0 qd z3 = 1 2π²0 p z3 Ering, on axis = 1 4π²0 Qx (x2 + a2)3/2 , Edisk, on axis = σ 2²0 ∙ 1− 1 ((a/x)2 + 1)1/2 ¸ Some SI prefixes: f = 10−15, p = 10−12, n = 10−9 , μ = 10−6, m = 10−3, k = 103, M = 106