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Test 1 Formulas - 2π 2π,v = =λf k = T T x t y x t =...

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2 2 , f T π ω π ω = = , v f T λ λ = = , 2 k π λ = : ( , ) cos( ) cos2 ( ) x t y x t A kx t A T ω π λ = = beat a b f f f = F v μ = , 0 (10 ) log I dB I β = d (path difference) = ( 0, 1, 2, 3 ) n n λ = ± ± ± " or d= 1 ( ) ( 0, 1, 2, 3 ) 2 n n λ + = ± ± ± " 1 1 ; 2 4 n v v f nf f or L L = = : n can be all positive integer or odd number depending on the pipe or string. 1 2 1 2 2 2 0 1 ˆ ˆ 4 q q q q F k r r r r πε = = G , 2 0 1 ˆ 4 F q E r q r πε = = G G F qE = G G p qd = G G E p E τ = × G G G 0 3 0 1 2 0 1 2 3 0 4 4 i i i q q q q q q U r r r r πε πε = + + + = " 0 1 4 i i i q V r πε = 0 ( ) r r V r E dr = − G G U qV = Q C V = 1 2 3 eq C C C C = + + + " 2 2 1 1 2 2 2 E Q U QV CV C = = = 2 2 V P VI I R R = = = 1 2 3 eq R R R R = + + + " , 1 2 3 1 1 1 1 eq R R R R = + + + " F qv B = × G G G or F Il B = × G G G 2 v qvB m r = 0 2 ˆ 4 qv r B r μ π × = G G , 0 2 ˆ 4 Il r B r μ π × = G G IA μ = G G , B B τ μ = × G G G 0 encl Q E dA ε = G G v , 0 B dA = G G v , 0 B dl I μ = H G v , B d dt Φ = − 0 2 I B r μ π = , 2 0 2 2 3/2 2( ) x NIa B x a μ = + / ( ) (1 ) t RC q t C e
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