P2214 Prelim 2 Formula Sheet f10

P2214 Prelim 2 Formula Sheet f10 - 2 1 Z Z R Z Z Z T R Z...

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Page 1 of 2 Physics 2214 Formula Sheet for Prelim 2 Damped and driven oscillations F = – k ( x – x eq ) 0 k m ϖ = F Damping = – b dx dt 0 0 eq / ( ) cos( ) τ φ - = + + A t x t A e t x Α = 2 m / b Q = 0 1 2 τ ϖ A F Drive = F 0 e i ω t 0 2 2 0 0 2 2 2 2 0 1 2 2 0 / ( ) (2 / ) / ( ) (2 / ) 2 / tan ( 0) π - = - + = - + = - - < < - D D A D D A D A D F m i F m A A ( 29 0 2 0 1 1 = - r A Mechanical Waves = y y t x v 2 2 2 2 y y t x = 2 v ± = u x t v μ = v 0 0 ∆ = - = - V p p p B V ∆ = - s p B x ρ = B v ph k = v gr d dk = v o o s s = + f f v + v v v ( 29 ( 29 2 2 2 a b cos a cos b cos + - + = ( 29 ( 29 ( 29 ( 29 ( 29 cos a cos b sin a sin b + = - R = 1 2 1 2 - + Z Z Z Z T = 1 1 2 + 2Z Z Z Z = μ v Z = ρ v R = 2 1 2 1 - + v v v v T = 2 2 1 + 2v v v 2 1 3 Z Z Z =
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Page 2 of 2 ( 29 2 1 k 2 / u y t μ = ( 29 2 1 p 2 / u y x τ = y y P x t ∂ ∂ = - ∂ ∂ ( 29 2 1 k 2 / u s t ρ = ( 29 2 1 p 2 / u B s x = inst 0 s s s I p B t x t ∂ ∂ = - ∂ ∂ 2 2 v 1 v 2 2 m av m av p I Bk s u B ϖ = = = = - tot u P x t EM Waves 0 12 0 0 7 0 8 0 0 8.854 10 F/m 4 10 T m/A 1, 1 in vacuum c = 3 10 m/s m m t t K K K K εμ ε π - - ∇⋅ = ∇⋅ = ∇× = - ∇× = = = × = = × = = × E B B E E B a a a a a a , , x y z ∇ = 2 2 2 2 2 2 2 x y z ∇ = + + ( 29 ( 29 2 ∇× ∇× = ∇ ∇⋅ -∇ E E E a a a 2 2 2 2 1 v t = E E a a 2 2 2 2 1 v t = B B a a 1 v m c c n KK = = = m n KK K = v E B = 2 cos out in I I θ = v Z = = 2 1 2 1 2 2 1 Normal incidence:
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Unformatted text preview: 2 1 Z Z R Z Z Z T R Z Z-= + = = + + 2 1 1 2 2 1 1 2 2 1 2 1 1 2 1 1 2 2 1 1 2 2 2 1 2 1 1 2 2 1 E parallel to interface: cos cos cos cos 2 cos 1 cos cos B parallel to interface : cos cos cos cos 2 cos (1 ) cos cos Z Z R Z Z z T R Z Z Z Z R Z Z Z Z T R Z Z Z-= + = = + +-= + = = + + 1 1 2 2 sin sin n n = 2 1 tan( ) B n n = 2 1 E 2 u E = 2 B 1 2 u B = 1 = × S E B a a a 2 max 1 2 v / v av av E I S S dp dt Area = = = ×...
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This note was uploaded on 10/25/2011 for the course PHYS 2214 at Cornell University (Engineering School).

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P2214 Prelim 2 Formula Sheet f10 - 2 1 Z Z R Z Z Z T R Z...

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