C: PC H19 A5 2.BUN Ohm s law

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1 C: PC H19 A5 2.BUN Ohm s law

2 3 3.1 Cu 1 carrier v I 1 sec 1A 1 S v v 1s 1A= 1C 1sec 17. S 1 S N v 1 v N v 1sec 1m 3 n N = n S v /s 19

3 n 9 N 1 S 1 e I = e N = Snev A (16) j = = (17) j = I S = nev (18) 2. 1 mm 2 1 A v v = I Sne = 1C/sec m /m C = m/sec 0.07mm/sec 3. 1 A e = C I = QC tsec = A 9 n 1m 3 = n /m 3 63 Cu 29 1mol=63g= Avogadro 1 1 = 8.9 g/cm 3. 1 mol =. 63/8.9 =.. 7 cm 3 1 m 3 = 10 6 cm 3 n = 1m = = m 3 20

4 4. Bohr 1 n = 1 A 1 e 2 2 mv2 = k e r h 2 r = 4π 2 me 2 n 2 k e h = J secm = kg k e = Nm 2 /C 2 e = C 5. v 0.07 mm 3.2 Ohm s law Cu 1 Cu + m e E F = ee α + mα = ee 21

5 τ v = 0 τ v = 0 τ v = v max v e max = F + S E = α τ = ee l m τ 18. v v 0 v max v = 0 + v max 2 = 1 2 e m Eτ v max v max 2 19 µ eτ 2m 0 t τ τ v = µe µ mobility 16 I = neµse l V E E = V l = 22

6 V I = eµn S l V eµn l/s I V R l eµns R (19) I = V R (20) 20 Ohm s law l S ρ 19 ρ 1 eµn ρ (21) R = ρ l S (22) 22 ρ R l S ρ ρ M.K.S. 1m 2 1cm 2 23

7 σ ρ Ωcm NaCl ρ 10 6 Ω cm Ni Cr 2 1cm 1cm 1cm 1cm mm 1m R = ρ l S = Ω cm. = Ω. =. 0.1 Ω cm 3.14 ( cm) 2 S = πr Ohm s law V = RI I = V R R = V I (23) 1V=1 1A VoltOhmAmpare 5 24

8 R V M k m kvmv VnVpV I ma AnApA 10 9 =G 10 6 =M 10 3 =k 10 3 =m 10 6 = 10 9 =n =p =a =f 5. 25

9 4 4.1 R 1 R 2 V I R 1 R 2 V 1 V 2 A R I V B A V I R 1 R 2 V 1 V 2 V V 1 R 1 R 2 V 2 B a b a b V 1 = R 1 I V 2 = R 2 I I I = V (24) V 1 = R 1 V V 2 = R 2 V (25) V 2 V 1 V 2 26

10 R 1 R 2 V I I 2 R 1 R 2 I 1 I 2 R 1 R 2 V R 1 R 2 I V = R 1 I 1 V = R 2 I 2 I 1 I 2 2 I 1 I 2 = R 2 R 1 V R 1 R R 1 R R 1 R 2 24 R 1 R 2 24 I I = V = V R (26) R = 1 2 R 1 R 2 R = R 1 R 2 R n 24 V I = + + R n V I R 1 R 2 V 1 V

11 1 R 1 R 2 R n R = + + R n 4.4 R 1 R R 1 R 2 I V I 1 I 2 I 1 I 2 V R 1 R 2 I 25. I = I 1 + I 2 = V + V ( 1 = V + 1 ) R 1 R 2 R 1 R 2 1 R 1 R 2 1 R I = V 1 R R 1 R 2 R 1 R = 1 R R 2 (27) R = = R 1 R 2 R 1 R 2 (28) 28

12 R 1 R 2 27 R 1 R 2 28 R = R 1R = 2 2 (29) =2/ =12/ =10/ R R 1 R 2 28 R 3 R = R 1 R 2 R 3 = R 1 R 2 + R 3 R 1 R 2 R 3 R 1 R 2 + R 2 R 3 + R 3 R 1 (30) 29

13 2 n n n 1 n R = R 1 R 2 R n n (R 1 R 2 R n /R i ) i=1 (31) R 1 R n 27. n R = = = 24 = r x 30

14 R R = rx r + x x x = rr (32) r R x x = rr r R = 2 2 x = kΩ (33) R = 990Ω 1kΩ x = = = 99.0 kω 99.0 kω 100 kω R = 1 k 100 k 1 k k = Ω k = kω 100 kω 8. r r A 1 r r 1/A r Ar r p ( r r p = = r ) 1.=. r A r Ar r + Ar = A ( 1 1 ) A 31

15 Ω Ω r p = = = Ω. r p = 100(1 0.1) = 90 Ω 1% 10 Ω 1000 Ω r 10% r 10 =1% 5% r 20 =0.025% 1% r 100 =0.01% 32

16 4.7 2 R 1 R 2 R R = R 1 //R 2 // R 1 //R 2 = R 1R 2 (34) // R = R 1 //R 2 //R 3 // //R n R R 1 R 2 R 3 R n 1 R 1 R 2 R 3 R n n 10. AB R R 1 A // R 2 R 3 R = //R 3 B = R 3 R 2 + R 3 33

17 11. AB R 1 A R 3 R // R 2 R 4 R 5 R 6 R = //R 3 + R 4 //R 5 //R 6 ( ) R 4 R 5 R 6 = // R 3 + R 4 R 5 + R 5 R 6 + R 6 R 4 ) R 4 R 5 R 6 R 2 (R 3 + R 4 R 5 + R 5 R 6 + R 6 R 4 = R 1 + ( ) R 4 R 5 R 6 R 2 + R 3 + R 4 R 5 + R 5 R 6 + R 6 R 4 B = R 1 + R 4 R 5 R 6 R 2 R 3 + R 2 R 4 R 5 + R 5 R 6 + R 6 R 4 R 4 R 5 R 6 R 2 + R 3 + R 4 R 5 + R 5 R 6 + R 6 R 4 = R 3 R 4 R 5 + R 5 R 6 + R 6 R 4 + R 2 R 4 R 5 R 6 R 2 + R 3 R 4 R 5 + R 5 R 6 + R 6 R 4 + R 4 R 5 R 6 34

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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