1 Find the matrix equation in the circuit of Fig. 16-12 by nodal analysis method. Assume that each branch admittance of the circuit is 1S

In the chapter we shall begin to look at more general and more powerful methods of circuit analysis -the Laplace transform techniques

Let the initial voltages on the capacitors be represented as voltage sources in series with the capacitors and the initial currents through the inductors be represented as current sources in parallel with the inductors

In the chapter we shall develop a method for representing a sinusoidal forcing function or a sinusoidal response by a complex number called a phasor transform,or simply a phasor. By working with phasors we shall effect a truly remarkable simplification in the steady state sinusoidal analysis of general circuits

n--a large constant voltage source (t)-- small time-varying- voltage source(small signal) >>(3) bsin +i=(),+ (o)=: JOX tniog gin9go int---(1)←0=()2utJ

The node-to-datum voltage vector:

We consider each term of the Fourier aeries representing the voltage as a single source. The equivalent impedance of the network at no is used to compute the current at that harmonic. XL(n) =noL and XC() =-1/noC The sum of these individual responses is the total response i

We select one node as a reference node and then define a voltage between each remaining node and the reference node

One CLRM assumption is: The model used in empirical analysis is \correctly specified\

Definition (1) Econometrics: economic measurement. (2) Econometrics: the social science in which the tools of economic theory, mathematics, and statistical inference are applied to the analysis of economic phenomena. (3) Econometrics: the result of a certain outlook on the role of economics, consists of the application of mathematical statistics to economic data to lend