ii 4 5 RLC 2 LC LC OTA, FDNR 6

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1 There is nothing more practical than a good theory. James Clerk Maxwell ( ) MOSFET 3 MOSFET MOS CMOS CMOS CMOS

2 ii 4 5 RLC 2 LC LC OTA, FDNR 6

3 iii 1 (90 30 )

4

5 v KCL KVL KCL KVL MATLAB

6 vi MOSFET MATLAB MOSFET MOSFET MOSFET nmos nmos CMOS CMOS MOSFET MOSFET MOSFET

7 vii

8 viii CMOS LC LC LC RC RC (Sallen-Key) RC

9 ix RC OTA (VCCS) OTA C RC A A A A

10 x A A A A A A A A A A A A A A A A A A A

11 (Pi) i (P1) R (x, y, z, t) R 4 (P2) ρ(x, y, z, t) R J(x, y, z, t) R 3 R 4 ρ t +divj =0 (1.1) E(x, y, z, t) B(x, y, z, t) D(x, y, z, t) H(x, y, x, t) rote = B t roth = J + D t (1.2) (1.3)

12 2 1. divd = ρ (1.4) divb =0 (1.5) (P3) V S S n(x, y, z) Q(t) = ρ(x, y, z)dv (1.6) V V I(t) = J(x, y, z, t) nds (1.7) S V S dq dt = ρ V t dv = divj dv V = J(x, y, z, t) nds = I (1.8) S (P1) (P2) voltage Alessandro Antonio Volta ( ) (volt) Volta

13 1.1 3 B rote =0 E = grad φ φ E dl =0 (1.9) C 0 ) P 1 P 0 φ(p 1 ) φ(p 0 )= P1 P 0 E dl (1.10) P 1 P 0 φ(p 1 ) φ(p 0 ) (1.9) (1.3) D roth = J H div roth =0 div J =0 P 1 S V div J dv = 0 (1.11) V div J dv = J nds = 0 (1.12) V S S J ds = 0 (1.13) S 1.1.3

14 (KVL) (1.5) A B =rota (1.5) rot (E + A/ t) =0 E + A/ t φ grad φ = E + A t (1.14) C C E dl + d dt C A dl = E dl + d rota nds C dt S = E dl + d dt Φ = 0 (1.15) C v(t) =dφ(t)/dt (1.15) 2 (KCL) (1.3) D roth = J + D/ t H div roth =0 div J + divd/ t =0 P S V div J dv + d dt V div J dv = J nds V S V divd =0

15 V ρdv = Q V Q J nds + dq dt = 0 (1.16) S (lumped constant circuits) 1 (P4) (a) (b) (c) (P5) p 0 p 1 p 1 p

16 6 1. i p 1 p 0 i φ φ(p 0 ) p 0 φ(p 1 ) p 1 v = φ(p 1 ) φ(p 0 ) p 0 p 1 v i v t 1 x i di/dt y v dv/dt f : R 2 R f(x, y) =0 2 f (P6) J E J = σe 2 3 σ 1.2 l E 1.2 l v q F = qe + v B v B v

17 ,

18 RC , , RC , nmosfet 72 2, ,

19 RC , KVL, KCL , , , , ,

20 A AND 94 C C 1 [a, b] 249 C[a, b] 249 CMOS 76 E eig(matlab) 126 expm(matlab) 125 F FDNR 185 I INTLAB 30 M MATLAB 29 \(MATLAB) 30 MOSFET 52, MOSFET 63 MOSFET 64 MOS 8 N NAND 81 nmos 55 nmosfet 67 nmosfet 68 NOR 81 NOT 94 n 54 O OR 94 OTA 86, 180 P pmos 55 pmosfet 60 pn 52 p 55 Q Q() 67 Q (quality factor) 120 R RC 171 S syms(matlab) 125 V VCCS 180 verifylss(intlab) 30 W W/L 58 Δ Y 50 π 127

21 Circuit Theory c Shin ichi Oishi CORONA PUBLISHING CO., LTD. Tokyo Japan :// ISBN Printed in Japan

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