- PDF Free Download

Dimension: px

Commencer à balayer dès la page:

Download ""

Amélie Desmarais
il y a 7 ans
Total affichages :

5 α α acc β γ Γ 2 1 δ ϵ η θ Θ λ λ e,i,n λ D lnλ e,i ν e,i 1 ξ 1 ρ e Ω σ 2 τ e,i 3 1 φ A ϕ ψ ω ω p 1 a 2 A 2 A ext 2 2

6 A g 2 B B r d D v 3 1 e R E 1 E f 1 F L F acteur S G h h r hν H H I sp I j 2 J B 2 J CL 2 k att,r 3 1 L n 3 N n m M 2. m 1 p

7 P Coll,NoColl P Q 1 r r b R 0 Ω s S 2 t T T n n T g U U B 1 v 1 V 3 V par V p x w 0 W ϕ Z

8 ε σ SB c 8 1 e 19 g 2 k B m p 27 m univ 53 M Soleil 30

12 S

13 6

15 Chapitre

16 m d v = dm v ej, m v dm v ej ( ) m0 v = v ej ln, m 0 m f ( ) v m 0 = m f exp, T m f v ej T = dm dt v ej = ṁ v ej,

17 ṁ m vide m univ M Soleil m univ = kg er e e

18 j B

19 v i 2 Z ev acc v i =, m i e Z V acc m i + + T =. m i v i,. m i = j pm i A g, e j p A g 2mi V acc T = j p A g. e I sp I sp = T. m i g = v i g, g I sp sp

20 η i. m n η i =. m i. m n. η m = T m syst. m syst ξ ξ = T P prop, P prop η T P inj η T = T 2 2. m n P inj.

21 J B = en e kb T e m i,

22 J B k B T e n e J CL J CL = 4 2e 9 ε Vacc 3/2 0 m i s 2, s ε 0 J CL s T = 8ε 0A g 9 ( Vacc s ) 2. J CL A g = 60 cm 2 A g T g T g = π d 2, d

23 v derive v derive = E B B 2, v E x B y, E B E x B y j Hall j Hall = en e v derive = 32 A/cm 2.

24 sp sp

27 sp T ηm µ

28 6

29 Chapitre

30 6 2 A 2 + e (froid) A + A, A α

31 α = n n e, n n e α α << 1 α = 1 α > 100 +

32 s 1 ν e = 4πn e e 4 (4πε 0 ) 2 m 2 eve 3 lnλ ei ν i = 4πn i e 4 (4πε 0 ) 2 m 2 lnλ ii i v3 i m λ e = v e ν e λ i = v i ν i m 3 /s τ e = ν e n e τ i = ν i n i T e < 10 ev ν e,i n e,i lnλ λ τ 18 3 λ ie λ ii = 0.2 6

33 2 1 Ω 2 6 2

35 T g ± 4 r r

36 x 1 x 2 x 3 max [ ( ) ( )] B x (x) = B r x 1 x 3 arctan π 2x x 1 x 3 4x 2 + x arctan x2 3 2(x + x 2 ) 4(x + x 2 ) 2 + x x2 3 x x 1 x 2 x 3

37 z x y z

38 x y x y z y z x x 3 2

40 Q Q = 1 4 n nv n A g, v n n n p 0 p 0 = 4k BT n Q v n A g. A g = S g Tg 2 S g p r 6 D v = 1300 Q = p r D v = dn n dt k BT n, dn n /dt 15 5

41 rc r OML V p V f I + V f I + = h r en i kb T e m i A, h r A λ D λ D = ε0 k B T e e 2 n e.

42 2 λ D ( ) e(vp V s I e (V s ) = I es exp, k B T e V s I es = ean e v e. I e (V s

43 r OML I e = ean e 2 π 1 + e(v s V p ) k B T e, I 2 e

44 Ion Sélecteur G 30 Transducteur de courant Oscilloscope Gaine - 50 V G 20 G 10 µm µm V plane I plane I plane = 0.1V plane 5G, G

45 F L F L = Ze(E + v B), E v B E B v F L v = E B. v v v = V E B db, V E B d

46 5 3

47 2 6 ±

48 σ CEX σ CEX (v i ) = ( 23.3 log 10 (v i ) ) λ λ = 1 n g σ i = k BT pσ CEX, n g p 4 P NoColl ( P NoColl (t) = exp t ) = exp( ν CEX t). τ ν CEX = v i λ v i x P Coll = 1 P NoColl ( P Coll (x) = 1 exp x ) λ P Coll P Coll 0.42 P Coll x

49 I fil S fil S aire ϵσ SB T I fil = 4, ρ e L ϵ σ SB S fil, S aire ρ e 8 Ωm ρ e = T T T T 4. J neutraliseur J neutraliseur = A ext T 2 exp ( ) ewϕ, k B T A ext W ϕ A ext

50 x 6 α acc = 2arctan ( dcol L ), L d col

51 6 col col + 6 6

52 h a a = 2h L 2 v2 i, V E B = v i Bd + v 2 i 2mdh ZeL 2, h h 0

53 H H h H v mes = Hv i, v mes H v i H = V E B mi, db 2eV acc H 6 H = H(m, v i ).

54 6 H 6 H 6 H H H H = V acc V acc v i ( ) db 2 m i = 2eV acc. V E B m H H H = H V E B V E B + H V acc + H B B + H d d, V acc

55 H V E B V E B V acc V acc B B d d H H = V E B V E B + V acc 2Vacc 3/2 + B B + d d, H = H H 2+ H H H H H H + 2+ H H

56 H < φ A H = H(m, v i, h, φ A ). A + hν A + e, A e α I e I dc = j e,lpds lpd j e,dc S dc = e n e,lpdv e,lpd S lpd en e,dc v e,dc S dc n e n e = n n e = α, j S v e n e

57 σ LP D 22 2 > 6 6 lpd dc E e detach hν E e detach = hν EA. σ LP D 6 n /n n n ( = 1 exp σ ) LP DE L, hνs L E L L E L L 6 n /n 6

58 λ λ σ LP D = σ i = σ SF 6 + σ SF 5 + σ SF σ F, σ i

59 µm 5 x

60 y Ω Ω kω µf

61 Sonde Courant LPD C Oscillo Courant DC A R1 R2 R3 t tr t tr = r b v, r b f f = 1 t tr = v r b r b 6

62 w(d) ( ) d 2 w(d) = w 0 1 +, e r w 0 e r e r = πw2 0 M 2 λ, M 2 M 2

63 2 2 x x

64 < > λ/2 I laser = I 0 cos 2 (Θ), I Θ λ/2 n ph E laser

65 E ph = hν = hc λ. n ph = E laser /E ph 16 E laser = π (2 mm) 2 3 mm F laser F laser = E laserψ S laser, ψ Θ o 2 6

67 Chapitre

68 H

69 6 + x

70 sp > s i + mes mes i i V acc

71 6 6 t dn s /dt V dn s dt = Γ ca Γ s A = 1 4 n cv th A 1 4 n sv th A, Γ v th s c ( p(t) = p c + (p s p c )exp 1 ) 4 v A th V t, V t

72 6 T e V p

73 ϕ Γ i+ Γ e Γ i Γ i+ = U B n +, Γ e = 1 4 n e Γ i = 1 4 n 8kB T e πm e ( exp e 8k B T ( exp πm ϕ k B T e eϕ k B T ), ), n + U B k B T e 1 + α U B = m γα, α γ α = 0 ϕ = k BT e e ( 1 2 ln ( m+ 2πm e )). ϕ = V p V f α >> 1 γ = 1 T e T + n ϕ

74 H H = 6

75 6 6 x x B

77 6 ± ± 6 ± + 6 w p w p = n e e 2 m i ε 0,

78 ± 6 Ω w p µs w p ± 6 ± Ω Ω H H = U s U e, U s U e H

79 6 ± H = (ωrc) 2, ω µs 6 ±

80 6 ± Γ + Γ Γ + + Γ = 0, v + m n = n + = n +. v m + 6 ± 6

81 J CL Vacc 3/2 V acc

82 6 6 H +

83 6 6 +

85 6 6

87 ±

88 V acc

89 + + 6 V E B V E B

90 6 6 6 V E B V E B

91 V E B V E B V E B V V E B 6 V E B V E B V E B V E B H

92 6 6 6 H H H 6 H 6 H φ A H H H min H max H H

93 H H H H V E B 6 2 sp

94 H

95 Chapitre S

96 6 6 x x x x

97 6 6 x x 6

98 6 1 µs ers I e /I e 6 I e /I e 6

99 E o o o o 3/ o 3/2 5 2 o 3/2 Kr + hν Kr + + e. E Kr + nhν Kr + + e. n

100 I e r 6 Ie /I DC β 6

101 β < 2 β 2 2 β β 6 6 6

102 x 1 ma 6

103 6 x 6

104 6 β

105 β x α β x dn dt = k att n e n n k r n + n, k r ( dn dt = 0) n = k attn e n n k r n +. n n n n + n e α << 1

106 6 β

107 6 β β β

108 3 6 x µa β β x 6 β 6 β

109 6 β β

110 I e I e = e n e v e A. 2e(hν EA) v e =. m e 16 3 n n = 1 ea 0 I LP D (t)dt m 3, 3 6

111 S S S V p V f S S ± S S S S S

112 S x β x S β β = I e I DC S = I+ I DC = I+ I e + I, S x

113 S S z S x 6 ϕ S x S x S 6 y

114

115 S 6 6 x y 2

116 2 n e T e V p 6 6

117 6

118 y x 6 x y 6

119 6 x 6

120 S 6 x S β x S y ± y S S y S S y y y

121 y y 6 y x y 6

122 y

123 3

124 x e = en e derive, derive derive = B 2 + p en e B 2, p 1 e 16 3 n e 15 3 e e

125

126 S 6

127 Chapitre

128

129

130 ϕ ext l ϕ ext l ϕ ext l ϕ int l ϕ ext l ϕ ext l ϕ int l ϕ ext ϕ int 2 17

131 2

132 θ r θ r z r

133

134 T g 1 A g 2 T g A g

135 6 1 3 Ω

136 0 6 0 Ω Ω

137 18 3

138 θ r δ δ = c me ε 0 = c w pe n e e 2, w pe z r z θ 2 r r

139 θ r r θ θ r ± θ 17 3 θ

140 θ r e θ 3 z θ z

141 S θ 6 6 θ ±0.1 θ 15 ± S θ 6 z 2π 3

142 S 6 6 6

143 6 6 ±

144 Ω r r θ H + 3 6

145 6 ± H 6 + H 6 ± r r 6 ± r r + 3 r

146 r 3 6 ±

147 6 2 H H 6

148 H β β α β 16 3

149 S S

150 ± 6 2 +

151 Annexe λ nn λ nn = 1 n n σ nn = k BT n pσ nn, σ nn σ nn = πd 2 d ν λ = v ν, v λ ei = (4πε 0) 2 m 2 ev 4 e 4πn e Z i e 4 ( Λ ei ) 1, λ ei Λ λ ii = (4πε 0) 2 m 2 i v4 e 4πn i Z i e 4 ( Λ ii ) 1. λ ee = v e ϵ e, n e ( T ϵ e e n e )

152 ϵ e Xe + e k ion Xe + + e + e, k ion T e e k ion = v e (( T e T 2 e )e ( /T e) ) 10 20, e k ion = v e (6.386 e ( /Te) T 2 e ) Xe + + e + e k rec Xe + e. k rec dn e dt = k ionn e n g k rec n e n i, n i n e = 2 (2πm ek B T e ) (3/2) g(xe + ( ) n g h 3 g(xe) exp E ) i. k B T e h g k rec n e T e

153 λ λ λ λ λ

154 P tr P tr = P Ampl P refl, P Ampl P refl P D P D = P tr R 0 I 2 ant, R 0 = 3 Ω I ant P T E = P D P tr = P tr R 0 I 2 ant P tr. 6 6 n = I t acq S e v i, n = t acq Se 0 I(v i )dv i,

155 6 6 6

156 6 t acq

157 Annexe 6 6 λ = T n

158

159

160 6

161

162 4 n n

163 6 3 6 e

164

165

166 6 6

Documents pareils

CONCOURS COMMUN 2010 PHYSIQUE

CONCOURS COMMUN 2010 PHYSIQUE CONCOUS COMMUN SUJET A DES ÉCOLES DES MINES D ALBI, ALÈS, DOUAI, NANTES Épreuve de Physique-Chimie (toutes filières) Corrigé Barème total points : Physique points - Chimie 68 points PHYSIQUE Partie A :