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Lecture Electric circuit theory: Electrical circuit analysis include all of the following: Branch current method, node voltage method, mesh current method. Inviting ypu refer lecture for more details.
ltage method Mesh current method Electrical Circuit Analysis - sites.google.com/site/ncpdhbkhn 28 Mesh current method (1) 3A Branch currents + + 2A – 5A 5A 3A Mesh currents Electrical Circuit Analysis - sites.google.com/site/ncpdhbkhn 29 – Mesh current method (2) 6A ? –3A ? – (–3)?= 9A –3 – =?–11A 6A –3A –6 – =?–8A 8A –8A ? ? ? 2A 5A ? –2A ? 5A ? Electrical Circuit Analysis - sites.google.com/site/ncpdhbkhn 30 Mesh current method (3) i1 Ex a i3 R3 R1 + v3 – + v1 – – B: R2i2 + R3i3 + R4i4 = E2 i1 = iA i2 = iB – iA i3 = iB i4 = iB + J iB + E1 – i2 v1 R + E2 – + A: R1i1 – R2i2 = E1 – E2 iA b i4 + v4 – J R4 J c R1iA – R2(iB – iA) = E1 – E2 R2(iB – iA) + R3iB + R4(iB + J) = E2 i A → iB – R2 iA + (R2 + R3 + R4)iB = E2 – R4J (R1+ R2)iA – R2iB = E1 – E2 Electrical Circuit Analysis - sites.google.com/site/ncpdhbkhn 31 Mesh current method (4) R1 Ex R3 a + R2 iA J iB R4 J + E2 – – E1 b c R1iA + R2(iA – iB) = E1 – E2 R2(iB – iA) + R3iB + R4(iB + J) = E2 R1(iA ) + R2(iA – iB) = E1 – E2 R2(iB – iA) + R3(iB ) + R4(iB + J) = E2 Electrical Circuit Analysis - sites.google.com/site/ncpdhbkhn 32 Mesh current method (5) R1 + iA i4 i2 R2 b iB R4 J J + – E1 a i3 R3 E2 – i1 Ex c i A R1 (iA ) + R2 (i A − iB + J ) = E1 − E2 → iB R2 (iB − i A − J ) + R3 (iB − j ) + R4 (iB ) = E2 → i1 = i A ; i2 = iB − i A − J ; i3 = iB − J ; i4 = iB Electrical Circuit Analysis - sites.google.com/site/ncpdhbkhn 33 Mesh current method (6) i1 a i3 R3 R1 + i2 R2 iA E2 b i4 iB R4 J J + – E1 – Ex c i A R1 (i A − J ) + R2 (i A − iB ) = E1 − E2 → iB R2 (iB − i A ) + R3 (iB − J ) + R4 (iB ) = E2 → i1 = i A − J ; i2 = iB − i A ; i3 = iB − J ; i4 = iB Electrical Circuit Analysis - sites.google.com/site/ncpdhbkhn 34 Mesh current method (7) i1 R1 a i3 R3 + i2 R2 iA E2 b i4 iB R4 J J + – E1 – Ex c R1 (i A − J ) + R3 (i A + iB − J ) + R4 (i A + iB ) = E1 i A → R2 (iB ) + R3 (iB + i A − J ) + R4 (iB + i A ) = E2 iB → i1 = i A − J ; i2 = iB ; i3 = i A + iB − J ; i4 = i A + iB Electrical Circuit Analysis - sites.google.com/site/ncpdhbkhn 35 Mesh current method (8) J Ex i1 ) + R5(iA – iB) + R2(iA – iC) = E1 C: R2(iC – iA) + R4(iC – iB) + R6(iC ) = –E6 iA a iA iB iC + d R6 i6 + + c – iB i4 i5 R4 i2 R2 – i3 R3 b – R5 + E1 + B: R3(iB + J ) + R4(iB – iC) + R5(iB – iA) = R1 – A: R1(iA J – + iC – E6 –+ i1 = iA; i2 = iA – iC; i3 = – iB – J; i4 = iB – iC; i5 = iA – iB; i6 = – iC Electrical Circuit Analysis - sites.google.com/site/ncpdhbkhn 36 Mesh current method (9) J Ex J R1 + iA R5 iB – R2 a – ) + R3 (iA + iB ) + R6 (i A + iC ) = E1 − E6 R1 (iA R3 (iB + i A ) + R4 (iB − iC − J ) + R5 (iB − J ) = R (i C ) + R4 (iC − iB + J ) + R6 (iC + iA ) = − E6 + c – – + E1 R3 b + d –R + iC R6 + Electrical Circuit Analysis - sites.google.com/site/ncpdhbkhn – E6 –+ 37 ... 3 B Electrical Circuit Analysis - sites.google.com/site/ncpdhbkhn 42 – Electrical Circuit Analysis Branch current method Node voltage method Mesh current method Electrical Circuit Analysis - sites.google.com/site/ncpdhbkhn... E6 Electrical Circuit Analysis - sites.google.com/site/ncpdhbkhn 39 Mesh current method (12) R2 R1 Ex J + iA iB – – + E1 E2 R1i A + R2iB = E1 + E2 iA − iB = − J Electrical Circuit Analysis - sites.google.com/site/ncpdhbkhn... currents Electrical Circuit Analysis - sites.google.com/site/ncpdhbkhn 29 – Mesh current method (2) 6A ? –3A ? – (–3)?= 9A –3 – =?–11A 6A –3A –6 – =?–8A 8A –8A ? ? ? 2A 5A ? –2A ? 5A ? Electrical Circuit