Lecture Electric circuit theory - Basic laws presents the following content: Ohm’s law; nodes, branches, and loops; Kirchhoff’s laws; series subcircuits; parallel subcircuits.
Nguyễn Công Phương 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 Basic Laws Ohm’s law Nodes, branches, and loops Kirchhoff’s laws Series subcircuits Parallel subcircuits Basic Laws - sites.google.com/site/ncpdhbkhn Ohm’s law (1) i + v R v v = Ri Slope = R – i → p(t) = Ri2(t) p(t) = v(t)i(t) i = v = Gv R Basic Laws - sites.google.com/site/ncpdhbkhn Ohm’s law (2) i v + Slope = R – i i Req v Basic Laws - sites.google.com/site/ncpdhbkhn + – v Ohm’s law (3) i(t) vs = i(t) i(t) R=0 + – + v – + v – + v – Short circuit i(t) + is = v i(t) – + R=∞ v i(t) – + v – Open circuit Basic Laws - sites.google.com/site/ncpdhbkhn Basic Laws Ohm’s law Nodes, branches, and loops Kirchhoff’s laws Series subcircuits Parallel subcircuits Basic Laws - sites.google.com/site/ncpdhbkhn Nodes, branches, and loops (1) A branch represents a single element R3 R1 R2 + E1 + – R4 J E2 – Basic Laws - sites.google.com/site/ncpdhbkhn Nodes, branches, and loops (2) A node is the point of connection between two or more branches a R1 R3 b c R2 + E1 R4 + – d J E2 – e f Basic Laws - sites.google.com/site/ncpdhbkhn Nodes, branches, and loops (3) A loop is any closed path in a circuit R3 R1 R2 + E1 R4 + – J E2 – b=l+n–1 Basic Laws - sites.google.com/site/ncpdhbkhn 10 Kirchhoff’s current law (1) N ∑ in = (KCL) n =1 i1 i2 i1 i4 i3 i4 i2 i3 i1 − i2 + i3 − i4 = Basic Laws - sites.google.com/site/ncpdhbkhn 12 Kirchhoff’s current law (2) + – 12 V 2A 1A 2Ω 4Ω 1A 4A 8Ω 3A 1Ω Basic Laws - sites.google.com/site/ncpdhbkhn 13 Kirchhoff’s voltage law (1) N ∑ un = (KVL) n =1 vb R1 + – + v1 – + – va – v3 + + v2 – R2 −va + v1 + vb + v2 + v3 = R3 Basic Laws - sites.google.com/site/ncpdhbkhn 14 Kirchhoff’s voltage law (2) + – 12 V 2A 1A + 4V – +4V – 1A + 8V – 4A + 4V 3A – Basic Laws - sites.google.com/site/ncpdhbkhn 15 Basic Laws Ohm’s law Nodes, branches, and loops Kirchhoff’s laws Series subcircuits Parallel subcircuits Basic Laws - sites.google.com/site/ncpdhbkhn 16 Series subcircuits (1) i i + a – + – E1 E2 + a + v + – v b – – Eeq = E1 + E2 b Basic Laws - sites.google.com/site/ncpdhbkhn 17 Series subcircuits (2) i i + + a J1 v – a J2 Jeq = J1 = J2 v b – b Basic Laws - sites.google.com/site/ncpdhbkhn 18 Series subcircuits (3) i + a R1 + v1 – i R2 + + v2 – v v – a b – Req = R1 + R2 b v = v1 + v2 → v = R1i + R2i = ( R1 + R2 )i = Req i v1 = R1i v i= R1 + R2 R1 → v1 = v R1 + R2 R2 v2 = v R1 + R2 Rk vk = v R1 + + Rk + + RN Basic Laws - sites.google.com/site/ncpdhbkhn 19 Series subcircuits (4) i i + a + – E v – + a J Jeq = J v b – b Basic Laws - sites.google.com/site/ncpdhbkhn 20 Basic Laws Ohm’s law Nodes, branches, and loops Kirchhoff’s laws Series subcircuits Parallel subcircuits Basic Laws - sites.google.com/site/ncpdhbkhn 21 Parallel subcircuits (1) i i + v – + a J1 b J2 a v – Jeq = J1 + J2 b Basic Laws - sites.google.com/site/ncpdhbkhn 22 Parallel subcircuits (2) i i a + – – b E2 + E1 + v – + a v – – + Eeq = E1 = E2 b Basic Laws - sites.google.com/site/ncpdhbkhn 23 Parallel subcircuits (3) i i + a v – + R1 b R2 i1 i2 a Req = v 1 + R1 R2 – R1 R2 = R1 + R2 b 1 v v i = i1 + i2 = + = ( G1 + G2 ) v = + v = Geq v = v R1 R2 Req R1 R2 R1 R2 → Req = = 1 R1 + R2 + R1 R2 Basic Laws - sites.google.com/site/ncpdhbkhn 24 Parallel subcircuits (4) i + a v – R1 i2 b i = ( G1 + G2 ) v i1 = G1v R2 i1 R2 i1 = i R1 + R2 G1 → i1 = i G1 + G2 G2 i2 = i G1 + G2 Gk ik = i G1 + + Gk + + GN Basic Laws - sites.google.com/site/ncpdhbkhn 25 Parallel subcircuits (5) i i b J a + E + v – + a – + v – – Eeq = E b Basic Laws - sites.google.com/site/ncpdhbkhn 26 ... Two-port Networks Basic Laws - sites.google.com/site/ncpdhbkhn Basic Laws Ohm’s law Nodes, branches, and loops Kirchhoff’s laws Series subcircuits Parallel subcircuits Basic Laws - sites.google.com/site/ncpdhbkhn...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... Kirchhoff’s laws Series subcircuits Parallel subcircuits Basic Laws - sites.google.com/site/ncpdhbkhn 16 Series subcircuits (1) i i + a – + – E1 E2 + a + v + – v b – – Eeq = E1 + E2 b Basic Laws - sites.google.com/site/ncpdhbkhn