1. Two port networks
1.1. Z-V1---I1;I2 V2 Y-I1---V1;V2 I2 H-V1--I1;V2 I2 G-I1---V1;I2 V2 ABCD-V1---V2;I2 I1 INVERSE ABCD-V2---V1;I1 I2
1.2. Symmetry conditions
1.3. Reciprocal conditions
1.4. Interconnection
1.4.1. Series
1.4.2. llr
1.4.3. Cascade
1.4.4. Series-llr
1.4.5. llr- series
1.5. Types of network
1.5.1. T
1.5.2. π
1.5.3. Ladder
1.5.4. Lattice
1.5.5. Series element
1.5.6. Shunt elements
1.5.7. Ideal transformer
2. Time domain analysis
2.1. Transient analysis
2.1.1. T=o- T=o T=o+
2.1.2. Initially 1.l=o.c 2.c=s.c Finally 1.l=s.c 2.c=o.c
2.1.2.1. I=I(final)+(i(initial)-i(final))e^-t/T V=v(final)+(v(initial)-v(final))e^-t/T
3. Graph theory
3.1. Tree
3.1.1. Count-n-1
3.1.2. Count in the graph-n^n-2
3.2. Co tree
3.2.1. Count-(b-n+1
3.3. Incident matrix
3.3.1. Tie set matrix
3.3.1.1. Rank. (B-n+1)
3.3.1.2. Process 1.select one tree 2.add one link from f-loop 3. Write equation 4. Direction should be same as main branches
3.3.1.3. F-loop*loop voltages
3.3.1.4. F-loop matrices-n^n-2
3.3.2. Cut set matrix
3.3.2.1. The graph can be divided into two parts
3.3.3. F cut set matrix
3.3.3.1. 1.Select a tree 2.select the branch of the tree and make the graph into two parts for that the branches u have removed is the F cut set matrix
3.3.3.2. Rank F loops-n-1
3.3.3.3. Total f cut set n^n-2
3.3.4. Nodes*branches
3.3.5. Rank n-1
4. Steady state analysis
4.1. Check the formula
4.2. Phasor from
5. Network theorems
5.1. Thevinin
5.1.1. Vth in series with rth
5.2. Norton
5.2.1. In in llr with Rn
5.3. Superposition
5.3.1. One source one time Independent sources 1. V-s.c 2.I- o.c Dependent source Same Calculate the response Finally add the all
5.3.2. Additivity
5.3.2.1. Total response=sum of individual response
5.3.3. Homogeneity
5.3.3.1. If scalar is multiplied to main it's responses are also multiplied with same scalar
5.4. Maximum power transfer
5.4.1. Vth and rth Substitute in formula
5.4.2. Imax and pmax
5.5. Y and delta transmission
5.5.1. Two formulas
6. Solution methods
6.1. Mesh analysis
6.1.1. Basic
6.1.2. Trick
6.1.2.1. Nodal analysis
6.1.2.1.1. Basic
6.1.2.1.2. Trick
6.2. Super node
6.3. Super mesh
7. Frequency domain analysis
7.1. Series RLC
7.1.1. Impedance
7.1.1.1. Zr+Zl+Zc
7.1.2. W0=1/√lc
7.1.3. Impedance magnitude
7.1.4. Q
7.1.5. £
7.1.6. Critical resistance
7.2. llr RLC
7.2.1. All same parameters Replace R-R L-c C-l