By Louis De Broglie
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Yii Ii = yi1 V1 + yi2 V2 + · · · + (yii + yij )Vj + (yik + )Vk + · · · + yin Vn A yji Ij = yj1 V1 + yj2 V2 + · · · + (yji + yjj )Vj + (yjk + )Vk + · · · + yjn Vn A yki Ik = yk1 V1 + yk2 V2 + · · · + (yki + ykj )Vj + (ykk + )Vk + · · · + ykn Vn A .. 25) On examining the above, one can ﬁnd that the node voltage Vi has got substituted by other node voltages. In matrix operation, this means that the column i corresponding to the voltage Vi has got discarded. Since node k is the output node 25 26 2 A Review of Network Analysis Techniques of a voltage ampliﬁer (VCVS), the current Ik is dependent solely on the networks connected to the output.
6 Indeﬁnite Admittance Matrix IAM cannot be found directly for this element. 15b. Now we can consider the CNIC and the +1 resistor in cascade, and ﬁnd the overall chain matrix. 15b. 15c, and the latter to the two-port Na . 15e as 1 Y1 + Y2 −Y2 [Y]N = 0 −Y1 0 2 −Y2 Y2 + Y 4 − 1 1 0 −Y4 3 0 1 0 1 −2 4 −Y1 0 −1 Y1 + Y 3 − 1 2 − Y3 5 0 −Y4 0 −Y3 Y3 + Y 4 23 24 2 A Review of Network Analysis Techniques Considering node 5 as the reference node, the NAM of the network N is given by (deleting column 5 and row 5 from [Y]N ) 1 2 Y1 + Y 2 −Y2 [y]N = 0 −Y1 −Y2 Y2 + Y 4 − 1 1 0 3 0 1 0 1 4 −Y1 0 −1 Y1 + Y 3 − 1 Considering now node 4 as an internal node, that is suppressing node 4 using Eq.
Find the new system function. 2 An LC ﬁlter with a normalized load resistance of 1 . 2 for a load of 100 . 3. 3 Dual and Inverse Networks then N1 and N2 are said to be inverses of each other with respect to K. 8b) or where zi is the impedance of the corresponding ith branch in N1 . It may be noted that the unit of K is ohms square. t. K. (If K = 1, the two networks are simply known as duals of each other). Hence, a resistor R in N1 would become a resistor of value K/R1 in N2 , an inductor of value L would become a capacitor of value L/K in N2 and a capacitor C in N1 would become an inductor of value KC in N2 .
An introduction to the study of wave mechanics by Louis De Broglie