Bài giảng Electric circuit theory - Chapter II: Basic laws - Nguyễn Công Phương

Nguy ễn Công Ph ươ ng Electric Circuit Theory Basic Laws Contents I. Basic Elements Of Electrical Circuits II. Basic Laws III. Electrical Circuit Analysis IV. Circuit Theorems V. Active Circuits VI. Capacitor And Inductor VII. First Order Circuits VIII.Second Order Circuits IX. Sinusoidal Steady State Analysis X. AC Power Analysis XI. Three-phase Circuits XII. Magnetically Coupled Circuits XIII.Frequency Response XIV.The Laplace Transform XV. Two-port Networks Basic Laws - sites.google.com/site/ncpdhbkhn 2 Basic Laws 1. Ohm’s law 2. Nodes, branches, and loops 3. Kirchhoff’s laws 4. Series subcircuits 5. Parallel subcircuits Basic Laws - sites.google.com/site/ncpdhbkhn 3 Ohm’s law (1) v i R Slope = R + v – i v = Ri → p(t) = Ri 2(t) p(t) = v(t)i(t) 1 i= v = Gv R Basic Laws - sites.google.com/site/ncpdhbkhn 4 Ohm’s law (2) i v + Slope = R i Req v – i + v – Basic Laws - sites.google.com/site/ncpdhbkhn 5 Ohm’s law (3) i(t) vs = 0 i(t) R = 0 i(t) + – + – + – v + v – v Short circuit i(t) is = 0 i(t) R = ∞ i(t) – + – + v + v – v Open circuit Basic Laws - sites.google.com/site/ncpdhbkhn 6 Basic Laws 1. Ohm’s law 2. Nodes, branches, and loops 3. Kirchhoff’s laws 4. Series subcircuits 5. Parallel subcircuits Basic Laws - sites.google.com/site/ncpdhbkhn 7 Nodes, branches, and loops (1) A branch represents a single element R1 R3 R2 + E1 R J – + 4 – E2 Basic Laws - sites.google.com/site/ncpdhbkhn 8 Nodes, branches, and loops (2) A node is the point of connection between two or more branches a R1 bR3 c R2 + d E1 R J – + 4 – E2 e f Basic Laws - sites.google.com/site/ncpdhbkhn 9 Nodes, branches, and loops (3) A loop is any closed path in a circuit R1 R3 R2 + E1 R J – + 4 – E2 b = l + n – 1 Basic Laws - sites.google.com/site/ncpdhbkhn 10 Basic Laws 1. Ohm’s law 2. Nodes, branches, and loops 3. Kirchhoff’s laws 4. Series subcircuits 5. Parallel subcircuits Basic Laws - sites.google.com/site/ncpdhbkhn 11 Kirchhoff’s current law (1) N = ∑in 0 (KCL) n=1 i1 i2 i2 i1 i4 i3 i4 i3 − + − = i1 i 2 i 3 i 4 0 Basic Laws - sites.google.com/site/ncpdhbkhn 12 Kirchhoff’s current law (2) 2 A 1 A 2 Ω 4 Ω + 12 V – 1 A 4 A 3 A 8 Ω 1 Ω Basic Laws - sites.google.com/site/ncpdhbkhn 13 Kirchhoff’s voltage law (1) N = ∑un 0 (KVL) n=1 vb R1 + – + v1 – + + – v −++ + + = va 2 R2 va vv1 b v 2 v 3 0 – – v3 + R3 Basic Laws - sites.google.com/site/ncpdhbkhn 14 Kirchhoff’s voltage law (2) 2 A 1 A + 4 V – + 4 V – + + + 12 V – 1 A 8 V 4 A 4 V 3 A – – Basic Laws - sites.google.com/site/ncpdhbkhn 15 Basic Laws 1. Ohm’s law 2. Nodes, branches, and loops 3. Kirchhoff’s laws 4. Series subcircuits 5. Parallel subcircuits Basic Laws - sites.google.com/site/ncpdhbkhn 16 Series subcircuits (1) i i + + – + – + a a E E 1 2 + v v E = E + E – eq 1 2 b b – – Basic Laws - sites.google.com/site/ncpdhbkhn 17 Series subcircuits (2) i i + + a a J1 J2 v v Jeq = J1 = J2 b b – – Basic Laws - sites.google.com/site/ncpdhbkhn 18 Series subcircuits (3) i i R1 R2 + + a a +v1 –– + v2 v v Req = R1 + R2 b b – – = + v v1 v 2 →= + = + = v Ri1 Ri 2( R 1 Ri 2 ) Ri eq v= R i 1 1 R R v →v = 1 v v= 2 v i = 1 + 2 R+ R + R1 R 2 1 2 R1 R 2 R v= k v k + + + + R1 ... Rk ... R N Basic Laws - sites.google.com/site/ncpdhbkhn 19 Series subcircuits (4) i i + + – + a a EJ v v Jeq = J b b – – Basic Laws - sites.google.com/site/ncpdhbkhn 20 Basic Laws 1. Ohm’s law 2. Nodes, branches, and loops 3. Kirchhoff’s laws 4. Series subcircuits 5. Parallel subcircuits Basic Laws - sites.google.com/site/ncpdhbkhn 21 Parallel subcircuits (1) i i + + a a v v J1 J2 Jeq = J1 + J2 b b – – Basic Laws - sites.google.com/site/ncpdhbkhn 22 Parallel subcircuits (2) i i + + a a + + + – – v – v E1 E2 Eeq = E1 = E2 b b – – Basic Laws - sites.google.com/site/ncpdhbkhn 23 Parallel subcircuits (3) i i + + = 1 a a Req 1+ 1 v v R1 R 2 R1 i1 R2 i2 R R = 1 2 b b + – – R1 R 2 v v 1 1  1 =+=+=+() = + = = iii1 2 GGv 1 2  vGv eq v RR12 RR 12  R eq 1 R R →R = = 1 2 eq 1 1 + + R1 R 2 R1 R 2 Basic Laws - sites.google.com/site/ncpdhbkhn 24 Parallel subcircuits (4) i + a R = 2 v i1 i R1 i1 R2 i2 + R1 R 2 b – i=( G + Gv) G 1 2 → = 1 i1 i = GG+ Gk i1 G 1 v 1 2 i= i k + + + + G GGG1 ...k ... N i= 2 i 2 + GG1 2 Basic Laws - sites.google.com/site/ncpdhbkhn 25 Parallel subcircuits (5) i i + + a a + + v – v E = E E J – eq b b – – Basic Laws - sites.google.com/site/ncpdhbkhn 26