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214formula3

214formula3 - Physics 214 Formula Sheet for Final Exam...

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Physics 214 Formula Sheet for Final Exam Damped and driven oscillations F = – k ( x – x eq ) 0 k ω = m () 0 2 0 1 1 ωω τω =− f = – b dx dt 00 e q / cos( ) t x tA e t x τ ωφ =+ + = 2 m / b Q = 0 1 2 F d = F 0 e i ω t 0 22 0 0 2 2 0 1 0 / ( 2 / ) / ( 2 / ) 2/ tan ( 0) Fm A i A ωτ φπ φ = −+ = − < < Mechanical Waves y y tx ∂∂ = 2 v 2 0 y uu +− = u ± = x ± v t μ = v Δ P = – B 0 V V Δ 0 s p PP B x =− = ad 0 B ρ = v R = 01 zz + T = 0 + 2z z z = μ v = ρ v ph k = v gr d dk = v o os s f f = vv 2 1 k 2 / uy =∂ t 2 1 p 2 / x y y P x t 2 1 k 2 / us t 2 1 p 2 / uB s x inst ss IB x t 0 Pu xt += Page 1 of 1
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EM Waves 00 0 t t εμ ∇⋅ =∇⋅ = ∇× =− ∇× = EB B E E B GG G G G G ,, x yz ⎛⎞ ∂∂∂ ∇= ⎜⎟ ⎝⎠ 22 2 2 2 x + + () ( ) 2 ∇× ∇× =∇ ∇⋅ −∇ EE E G 2 2 c t E E G G , 2 2 c t B B G G 1 c = 0 1 μ SE G B 2 1 E0 2 uE ε = , 2 B 0 1 2 uB = m 1 cc n KK == = v 2 trans 0 cos II θ = Interference and Diffraction Δ φ = k Δ A = d sin β = a sin I ( ) = 4 I 0 ( ) cos 2 ( /2) 2 0 2 sin ( / 2) sin ( / 2) N θθ = 2 0m a x 2 sin ( / 2) (/ 2 ) = Nm λ / Δ D sin 1 1.22 Quantum Physics E = hf = = ω p = h / = = k Δ = c (1 – cos ) c = h /( m e c ) 2.43 pm 2 (,) () (,) 2 x tx t Ux xt i mx t ∂Ψ −+ Ψ = ∂∂ = = it x t e ψ Ψ= 2 () () 2 dx x E x md x ψψ = = 2 2 2 UE m + = rr r r G G = 2 2 2 2 dd r rd r d r + Δ x Δ p x = Δ E Δ t = E n =
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214formula3 - Physics 214 Formula Sheet for Final Exam...

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