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

1 Find F(s) if f(t) = (a)(t-3);(b)4t u(t-3); (c)4 cos to(t-3). 2 Obtain partial-fraction expansions for each of the following rational functions, and find the corresponding time functions:

1 The physical construction of three pairs of coupled coils is shown in Fig. 10-16. Show two different possible locations for the two dots on each pair of coils. 2 For the circuit illustrated in Fig. 10-17 (a) find I and VB; (b) repeat if a 62 resistor is connected between the terminals at the right

I If f(t)=100 for 04.(a) Calculate v at t=T/4.(b) Find the average power delivered by this waveform to a 5Q2 resistor 3 Let v(t)=3-3 cos(100 t-40)+4 sin(200 T t-10)+2.5 cos 300 tt V Find: (a)the average value Var;(b)the rms value V;(c)the period T; (d)v(18ms)

A cosine voltage is zero and increasing at t=-1 6ms; the next zero crossing occurs at t 4.65ms. (a)Calculate T, f, and @.(b) If v(0)=20V, find v(t).(c)By what angle does v(t) I(t)=5cos(t-110°)A? 2 For the sinusoidal waveform shown in

1 If the voltage across a 5F capacitor is 2te -V, find the current and the power 2 In 5s, the voltage across a 40mF capacitor changes from 160v to 220V. Calculating the average current through the capacitor

I Let L= 1.25 H in Fig. 6-11, and determine v(t)if v(0) 1(02)=20A L 0.05F ig 6-11 For prob. I 2(a)What value of L in the circuit of Fig 6-11 will result in a transient response of the form, v(t)

1. In the circuit shown in the Fig 3-15, it is desired that 23 2v, a)Find the value of R that gives the desired relationship. b) Suppose that v,=-10V and v2=10V, find the magnitude of the currents through all resistors and the powers dissipated by all resistors

In the chapter we shall present an introduction to nonlinear circuit analysis and shall examine a few interesting examples of that are used in practice. The principle of analysis will be emphasized. Graphical solution techniques will be given first. In addition, the basic concept of the phase plane shall be considered

In this chapter we first introduce some of the basic definitions most often used in network graph theory and then implement some of the results of introductory graph theory to obtain general laws (KCL and KVL) which apply to any network