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1 1, : ( ), sxiida@sci.toyama-u.ac.jp

2 0.1 I I : 0.2 I

3 14 3,4 0.6 ( 10 10, , 12/6( ) , ) I (1) (2) (3) (1) (2) (3) (4) 6 (5) A4 (6) 2

4 ( ) ( ) ( ) ( ) 5. y = x 2 x x 2 x y

5 4

6 1 A 1 P B Q ON OFF (Induction Coil) 1.1: A, B P Q A, B P Q P Q 5

7 1 1.3 A ( ) New Power Induction Coil ID-6 ( ) U P B Q U 1.2: (6) + 2 ( CS-4125) (2 AG-203D) N/S (1) 1.1 (2) (9) (5) (7) + (3) (4) ( ) (1) 1.3 TA ( CH1 ) (5) BNC (200V) 1( CH1 ) 90 = / (1.1) 90 (7) OFF (8) 1.2 U (10) OFF 6

8 1 2 OUTPUT ( ) 8 (4) RANGE 6 10 ( ) FREQUENCY 3 10 ( ) = 100 Hz WAVEFORM 7 (5) VOLT/DIV 10 1 V 1 VOLTS/DIV 1 1 V TIME/DIV 28 5 ms 5 ms/div 1 5 ms AMPLITUDE : VOLT/DIV 10 TIME/DIV 28 VARIABLE 11, 16, 29 (5) VOLT/DIV TIME/DIV 1.4: 2 (2) 2 VERTICAL (1) T BNC MODE 19 CH1 2 1 TRIGGERING MODE 22 AUTO TRIGGERING SOURCE 23 ) INPUT CH1 OUTPUT 1 12 AC 2 18 BNC (3) ATTENUATOR 9 20 AMPLITUDE 10 MIN (3) VERTICAL MODE 19 CH ( (2) 1 7

9 VOLT/DIV V (4) VERTICAL MODE 19 CH2 (1) VOLT/DIV V 2 ATTENUATOR 9 (5) VERTICAL MODE 19 CHOP 20 AMPLITUDE 10 MIN VOLT/DIV V 2 TIME/DIV 28 5 ms VERTICAL MODE 15 CHOP X-Y OFF TRIGGERING SOURCE CH1 2 RANGE FREQUENCY 3 POSITION WAVEFORM AMPLITUDE AMPLITUDE (1) X-Y VOLT/DIV (2) 1 2 (100 Hz, 200 Hz) (100 Hz, 1 POSITION 9 HORIZONTAL 300 Hz) (200 Hz, 300 Hz) (200 Hz, 500 Hz) POSITION 27 (300 Hz, 400 Hz) (300 Hz, 500 Hz) X-Y 21 ON (2) X-Y (3) X-Y 21 OFF 2 AMPLITUDE 10 MIN OFF = 100 Hz OFF 2 8

10 2 2.1 C V L V C, L, r (a) I (b) I (a) R V v = v(t) = real V, i = i(t) = real I (2.1) real V real I V, I 2.1: (a) (b) j = 1 (c) (c) I V = V 0 exp jωt, I = I 0 exp jωt (2.2) V I Z L Z L = jωl (2.8) V = IZ C (2.3) Z C Z C = 1 jωc i(t) = I 0 cos ωt (2.5) ( ) I0 Z v(t) = real(iz C ) = sin ωt (2.6) ωc : Z = Z 1 + Z (2.10) 1/ωC : 1/Z = 1/Z 1 + 1/Z (2.11) C 2.1(b) L Z Z V = IZ L (2.7) L ωl L R (2.4) ( 2.1(c)) R C Z R = R (2.9) i(t) v(t) I Z Z δ Z = Z exp jδ 9

11 2 Z 1 Z 2 a V R b 100 V 60 Hz 2.2: Z 1 2 V R C V C c Z 2 Z 1 V C ac V R+C 2.3: Z I V V = I Z exp jδ I 0 I = I 0 exp jωt i(t) = I 0 cos ωt (2.12) v(t) = real(i 0 Z exp j(ωt + δ)) = I 0 Z cos(ωt + δ) (2.13) δ i(t) v(t) Z (6) i(t) v(t) Z C Z R+C 2.3 (8) Z ( ) R+C 2 = R 2 + Z C I (2) I Z C = 1 ωc C (1) 0 V (3) r (2) V Z R+C 2 > Z C 2 + R V 2.4: (3) 0 ab ( ) V R bc 30 V 5 V 0 V (4) V R = IR (R = 430 Ω) ( ) (5) V C vs I V R+C vs I (7) Z C = 1 ωc C II (1) I 10

12 2 (4) r Z C Z R+C Z C = r + 1 (2.14) jωc (1) Z C = 1 Z R+C = R + r + 1 jωc ( : Q(t) = Cv(t), (2.15) jωc i(t) = dq(t) i(t) = C dv(t) ) dt dt C r r = 1 2R ( Z R+C 2 Z C 2 R 2 ) (2.16) 1 (ωc) 2 = Z C 2 r 2 (2.17) C r III ) (1) Im (2) r Z L = ωl L (3) r r Z L R O Z R+L Z L = r + jωl (2.18) Z R+L = R + r + jωl (2.19) L r r = 1 2R ( Z R+L 2 Z L 2 R 2 ) (2.20) (ωl) 2 = Z L 2 r 2 (2.21) L r 2.5 (2) Z L = jωl ( : v(t) = L di(t) dt ) (3) (2.16), (2.17) ( : (2.14), (2.15) 2.5 Z 2 = Z Z (Z Z ) ) (4) (2.20), (2.21) ( : (3) 1/ωC Z C R+r Z R+C 2.5: Z C Z R+C Re (1) 0 V (2) f = 60 Hz ω = 2πf (3) 30 V 100 ma 11

13 3 3.1 V J.Frank G.Hertz Nieis-Bohr E = e(v i+1 V i ) (3.1) 1925 [ev]( ) E E V E E 3.1: C G1 G1-G2 [ma] G2 P [µa] C-G Inert Gas ACC. V. REG H. E CUR. ADJ E G2-P 3. POWER ON µaoadj V 1 12

14 3 4. H. CUR. ADJ 740mA 5. 3 ACC. V. REG 2V 75V 6. V g I p H. CUR. ADJ 750mA 760mA V g I p 3 I P 3.4: V g I p V 3 V 1, V 2 = V 4 V 2 1/ : 3.1: [ ] Ne Ar He (V) : [ ] ACC. V. REG H. CUR. ADJ [ ] 1. V 1, V 2, V 3 V 1 = 13

15 SW1 OFF 1 SW2 OFF N ( ) 6 µa E x (ADVANTEST R6441A) 5. R R = E x / µa 3 µa E x 6. 5 C 90 C SW1 SW C 8. SW2 OFF SW1 OFF FUNCTION POWER OFF 4.4 (ADVANTEST R6441A) S 1 2 [mm 2 ] l 10 [mm] ρ = RS/l 4.1: ρ T (1/T [K 1 ]) ρ T 2. ( ) ρ(t ) = ρ exp 2kT (4.1) 14

16 4 k log ρ vs T -1 (4.1) ( ln ) ln ρ(t ) = ln ρ (4.2) 0.3 2kT 0.2 log ρ(t ) = log ρ 0 + 2k ln (4.3) 0.08 T log ρ(t ) 1/T k ln δ(1/t) = ρ (Ωm) δ(log ρ) = /T ( 10-3 K -1 ) 1. (4.1) (4.3) 4.2: 2. log ρ vs 1/T ( ( ) ) ( δ(log ρ) = log 0.2 log 0.02 = log 10 = 1) ( ( ) δ(log ρ) δ(1/t ) n (n ) ( 0.01, 10 ) 1 10 n ( ) n n ( ) δ(1/t ) = [K 1 ]) 15

17 (V) (A) V = IR (5.1) R R 0 T 0 T ( electrical resistance ) 0 l S 2 R = ρ l S (5.2) ρ ( electrical resistivity ) R = R 0 {1 + α(t T 0 )} (5.3) :

18 5 5.2: 0.25(A) 5.3: A 0.1A II (A) OFF 100 V 2 R = V 1 V 2 2I

19 : 5.4 α RT R R α 0,100 α 0,100 = 1 R 0 R 100 R (5.4) α 0, R 5.3 T 0 R dr/dt R 0 T 0 α = 1 R 0 dr dt (5.5)

20 6 Kundt 6.1 (1) (2) (3) Young) : 34 Kundt : N 1 N 2 N 3 L 1 L 2 L 3 3 L 10cm 4 6.3: CB λ B V Young E 4 x 0, x 1, x 2, x 2λ 2 19

21 6 Kundt λ t C V V = ( t)[cm/s](= 10 2 [m/s]) (6.1) ν ν = V [Hz] (6.2) λ ν ν = ν λ L λ = 2L (6.3) V V = λν = 2LV λ [cm]( 10 2 [m/s]) (6.4) Young E[dyn/cm](= 10 1 [N/m 2 ]) ρ[g/cm 3 ](= 10 3 [kg/m 3 ]) E V = (6.5) ρ E = V 2 ρ[dyn/cm 2 ](= 10 1 [N/m 2 ]) (6.6) ρ 8.44[g/cm 3 ] : B 6.5 V 1.4 A B 1 100V 6.5: 2 0 U V U B 20

22 6 Kundt 21

23 7 7.1 (Sn) ( ) - ( ) b 0 a 2 A B 7.1 a b A B a b b 0 a (mv) ( ) - (thermo-electric voltage) a 2 2 a (almel) 94% 3% 7.1: A, B (chromel) 90% 10% a b 150 a 900 b

24 7 b (0 ) : : ( 2) ( 3) 1/ ( ) ( ) ( 1) - 7.4: 7.3: (1) POWER ON DCmVΩ FUNCTION 23

25 7 DCV 0.03mV (2) OFF 100V (3) 7.5 HI OFF (4) 10 8 (7) t = 0 ( ) 9 ( 1) HOLD 1 (8) HI 2 1 ( 2) LO OFF OFF POW ER ( OFF ( ) 1 ( ) (6) 9 ( ) ( mv ) (5) 30 ( ) 24

26 ( ) 7.5 ( ) 7.5: ( ) ( 7.6 ) ( ( ) ( 1 ) 4. ( 7.5 ) ( : / ) 7.6: 25

27

28 9 p MODE SPLIT 1. LAP / SPLIT MH START 2. M/H 3. H LAP M RESET START STOP 9.2 p246 p TA p248 M/H M H = (4π) r3 tan θ (9.1) 2 MKS MH [ N m ] [ ] LAP RESET LAP RESET tan θ = 1 (4π) M 1 H r 3 (9.2) 27

29 実験 9 地磁気の測定 教科書 p243 60地磁気の水平分力 が導かれる 従って実験データは 横軸を 1/ r3 縦軸を tanθ に とり グラフにしてみよ このグラフの傾きから M/H が求めることができる また単位は MKS で行う そ うすれば M/H [ Wb m2 / A ] となる 実験1と実験 2から M H と M/H が求まったので M Wb m 図 9.4: 偏角磁力計の全体と磁針計 とH A / m を算出せよ レポートは実験2のグラ フも提出すること 教科書の問いについては答えなく = Gauss と出ている 求めた水平分力 H[ A / m ] に 4 π 10 3 を掛けると Gauss 単位に換算でき る 比較してみよ て良い 図 9.1: 偏角磁力計の全体と磁針計 図 9.2: 偏角磁力計の断面 図 9.3: 偏角磁力計の調節ネジ [ 参考 ] 理科年表 2001 年版 によると地磁気およ び重力の項に 富山県の氷見の水平分力は nt 28

30 : 10.2: : θ 1 θ sin θ 1 = λ 1 = n (10.1) 10.3 sin θ 2 λ 2 n 1 λ 1 λ 2 n 1 n n 1 /n 2 < 1 θ 2 =90 θ 1 θ C 10.5 n 1 /n 2 29

31 : 10.6: sin θ water sin θ air θ air θ water sin θ air = n water sin θ water (10.2) 10.5: 10.6 θ air θ water nm

32 : 11.2: mv2 hν = 1 2 mv2 + eφ (11.1) h e (work function) 11.1 h e h e Sb-Cs ev -e mv2 = ev (11.2)

33 : 11.1: (nm) (Hz) : ev = hν eφ (11.3) 11.5: R 4 IC3140 V R 2 V R cm 1/ V

34 11 Gain Cont. Zero Adj. Collector Voltage 1 Gain Cont. gain controller 2 Zero Adj. zero adjustment 3 Collector Voltage 11.6: Zero Adj Gain Cont. 100 A 2 A 100 A Gain Cont Zero Adj. Collector Voltage h 33

35 J s 2/3 34

36 : 2002/10/ : : (Light Amplification by Stimulated Emission ofradiation) ψ = A sin(k(x ct) + δ) ψ sin () (diffraction) ψ 1 ψ 2 ψ ψ = ψ 1 + ψ 2 35

37 : 12.5: l V φ = l/l φ 36

38 : 12.7: 12.8: a sin θ n = nλ n = ±1, 2, 3... (12.2) 2a 1/2a x 1 x 1 = Lλ (12.3) 2a 0.01mm /2a x 1 λ 2a x D X θ L x sin θ x/l (12.1) 12.9: 1/2a-x 37

39 : 12.10: : Å 12.8 Å L x sin θ x/l d sin θ = nλ n = ±0, 1, 2, 3... (12.4) a 38

64 3 g=9.85 m/s 2 g=9.791 m/s 2 36, km ( ) 1 () 2 () m/s : : a) b) kg/m kg/m k

64 3 g=9.85 m/s 2 g=9.791 m/s 2 36, km ( ) 1 () 2 () m/s : : a) b) kg/m kg/m k 63 3 Section 3.1 g 3.1 3.1: : 64 3 g=9.85 m/s 2 g=9.791 m/s 2 36, km ( ) 1 () 2 () 3 9.8 m/s 2 3.2 3.2: : a) b) 5 15 4 1 1. 1 3 14. 1 3 kg/m 3 2 3.3 1 3 5.8 1 3 kg/m 3 3 2.65 1 3 kg/m 3 4 6 m 3.1. 65 5

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