# VALKENBURG NETWORK ANALYSIS PDF

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“Network Analysis”, M. E. Van Valkenburg, PHI / Pearson Education, 3rd Edition. Reprint. 2. “Networks and systems”, Roy Choudhury, 2nd edition, Solution Manual for Network Analysis by Van Valkenburg (Chapter 4) - Free download as PDF File .pdf), Text File .txt) or read online for free. This document . (c) (b). the State Variable ark, Analysis, Prenticeis a programmed of state equations. Fig. P Repeat Prob. for the three networks figure. shown in the .

Concepts such as Fourier Theorem and Routh-Hurwitz criterion have also been explained thoroughly in this book. The author of this book, M. Van Valkenburg, was also a renowned electrical engineer in the United States, who had authored several textbooks in the respective field. Solutions Manual. These books are extremely beneficial for students pursuing their degrees in the field of electrical engineering. The author hailed from Utah and completed his undergraduate degree in Electrical Engineering from the University of Utah, followed by a post-graduate degree in electrical engineering from MIT in the year The author also holds a doctoral degree from Stanford University in the field of electrical engineering.

He served as the Dean at the Electrical Engineering department of the University of Illinois in the year Apart from that, the author had also received several awards for his contribution to the field of Electrical Engineering. He has mentored several students during their doctoral degrees, one of them being the Dean at the Indian Institute of Technology, Madras, Prof. VGK Murthi. He passed away on the 19th of March Visitor Kindly Note: EasyEngineering team try to Helping the students and others who cannot afford downloading books is our aim.

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Please enter your name here. You have entered an incorrect email address! Making use of the Kirchhoff current law, write equations basis for the four networks of Prob. For the given network, write the node-basis equations using the node-to-datum voltages as variables. Collect terms in your formulation so that the equations have the general form of Eqs.

The network in the figure contains one independent voltage source and two controlled sources. Using the Kirchhoff current law, write node-basis equations. Collect terms in the formulation so that the equations have the general form of Eqs. The network of the figure is a model suitable for "rnidband" operation of the "cascode-connected" MOS transistor amplifier. Analyze the. Write the resulting equations in matrix form, but do not solve them. In the network of the figure, each branch contains a 1-n resistor, and four branches contain a I-V voltage source, Analyze the network on the loop basis, and organize the resulting equations in the form of a chart as in Example Do not solve the equations.

Repeat Prob. In addition, write equations on the node basis, and arrange the equations in the form of the chart of Example Write equations on a the loop basis, and b the node basis, and simplify the equations to the form of the chart used in Examples 11 and All sources in the network are time invariant. In the given network, all sources are time invariant.

Determine the. Solve for the four node-to-datum voltages.

## Latest Results in Brief

In the given network, node d is selected as the datum. For the specified element and source values, determine values for the four node-todatum voltages.

Solve the equations Determine of Prob. Is - I, -1, -I a solution? Find duals for the four networks 3-S0. Find the dual networks of Prob.

If one exists, find a dual of the network 3-S3.

Analyze the network lation. Consider the network shown in Prob. Analyze the network formulation. Apply the method in Fig. Analyze the network of Prob. For the gyrator-RL network of the figure, write the differential equation relating VI to il Find a two-element equivalent network, as in Prob. In the network of a of the figure, all self inductance values are 1 H, and mutual inductance values are i H. Find L. It is intended that the two networks of the figure be equivalent with respect to the pair of terminals which are identified.

What must be the values for Cl, L2' and L3? It is intended that the two networks of the figure be equivalent with respect to two pairs of terminals, terminal pair I-I' and terminal pair '. For this equivalence to exist, what must be the values for Ct. Cz, and C3? In these equati variable, is us independent ;'a" ing a linear co solution of the vet is someti Assume sources which' and currents.

Chapter 5. Chapter 2. Exercises relating to the topics of this chapter are concerned with the numerical solution of first-order differential equations in Appendix In particular, see Section 5. Capacitor C2 is unchargedat t O.

For the e values given, determine t'2 t. Find V. The network of the figure consists of a current source of val a constant , two resistors, and a capacitor. In the network shown in the accompanying figure, the switch K is closed at I 0, a steady-state having previously been attained.

Solve for the current in the circuit as a function of time. In the network: For this system, solve for the response i t. Find the general solution of this equatio.. In the network If the figure, the switch K is open and the network reaches a steady state.

Find the current in the inductor for I: The network of the figure is in a steady state with the switch K open. The current waveform is observed with a cathode ray oscilloscope. The initial value of the current is measured to be 0. The transient appears to disappear in 0. Find a the value of R, b the value of C, and c the equation of i t. The circuit shown in the accompanying figure consists of a resistor and a relay with inductance L.

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The relay is adjusted so that it is actuated when the current through the coil is 0. For the network and the conditions stated in Prob. For the network described in Prob. The network shown in the accompanying figure is in the steady state with the switch K closed. In tH state.

In the network shown in the figure, a steady state is reached with the switch K open. For the element values given, determine the value of v. O- and v. In the accompanying figure is shown a network in which a steady state is reached with switch K open. The network of Prob. Solve for the quantities specified in the four parts of Prob. Solve for the quantities specified in Prob. In the network shown, a steady state is reached with the open with V.

At time f 0, the switch is closed. What is its polarity? J Solve for the values of di. The network shown in the figure has two independent node pairs. The given network consists of two coupled coils and a capacitor. In the network of the figure, the switch K is closed at t ,-c O. At t 0 -, all capacitor voltages and inductor currents are zero. Three node-to-datum voltages are identified as '1. The differential eq uations of the we will continue restrictions as to The mathematic under the head in the classical met differential equat conceptual adva transformation is which are ordin more easily deve be reserved for t.

However, if there is resistance present, the current through the resistor will cause energy to be dissipated, and the total energy will decrease with each cycle. Eventually all the energy will be dissipated and the current will be reduced to zero.

If a scheme can be devised to supply the energy that is lost in each cycle, the oscillations can be sustained. This is accomplished in the electronic oscillator to produce audio frequency or radio frequency sinusoidal signals.

Chapter 3. Chapter 4. Book Company,. Chapter 7. Chapter 6. Chapters 2,3, and 5. References that are useful in designing exercises to go with the topics of this chapter are cited in Appendix In particular, the suggestions contained in Chapters 5, 6, and 7 of Huelsman, reference 7, Appendix E, are recommended. Find particular solutions to the differential subject to the initial conditions: Find particular solutions to the differential , given the initial conditions: In a certain network, sion.

The graph shows a damped sinusoidal waveform form Ke: In the network of the figure, the switch K is closed and is reached in the network. The capacitor of the figure has an initial voltage vc o- at the same time the current in the induct or is zero. At switch K is closed. Determine an expression for the vel. Determine V2 t.

Repeat if '1. Solve the following nonhomogeneous differential equationsI d2i a dt2 b dt? Solve the differential equations given in Prob. An equivalent network is shown in the accompanying diagram. What is the form of the current as a function of time? Thiscurrent will be in amperes per unit volt of the lightning; likewise 1' 1. A bolt of lightning having a waveform ' For the numerical values given, find i I. In the network shown in the accompanying figure, a steady state is reached with the switch K open.

In the network shown in Fig. PS, a steady state is reached with the switch K open. For the element values given, determine the current i t for 1. A switch series RI of time i: Consider the network shown in Fig. Determine i t for I: The network of the figure is operating in the steady state with the switch K open. Find an expression for the Voltage, v l for t: Consider a series RLC network which is excited by a voltage source.

What will be the locus of the roots of the characteristic equation? F, and R has the following values: Consider the RLC network of Prob. Compare results with those obtained in Prob. Analyze the network given in the figure on the loop basis, and determine the characteristic equation for the currents in the network as a function of Kt.

Find the value s of Kt for which the roots of the characteristic equation are on the imaginary axis of the s plane. Find the range of values of Kt for which the roots of the characteristic equation have positive real parts. These frequencies are applied in two separate experiments. Chapters 16 and The topics of this chapter are not directly related to the use of the digitalcomputer, since new concepts and theorems are stressed. Use the timeavailable for computer exercises in completing more of those suggested at the end of Chapter 3.

In the network of a of the accompanying figure, '1: Solve part b only. With the switch open, draw the transform network for analysis on the loop basis, representing all elements and all initial conditions. Repeat P this case. Factor pes and q s so that Z s may be written in the form of the impedance ofProb.

Two black boxes with two terminals each are externally identical. Any external measurements may be made, initial and final conditions may be examined, etc.

Slepian's black box problem," Proc. IEEE, 51,; September, The network shown in Fig. P is operated with switch K closed until a steady-state condition is reached.

## [PDF] Network Analysis By M.E. Van Valkenburg Book Free Download

Starting with the transform network found in Prob. The accompanying network consists of resistors and controlled sources in addition to the independent voltage source v,. For this network, find the Thevenin equivalent network by determining an expression for the voltage V8 and the Thevenin equivalent resistance.

ThJnetwork of the figure contains three resistors and one controlled curfent source in addition to independent sources. For this network, determine the Thevenin equivalent network at terminals I-I',. The network shown is a simple representation this network, determine the Thevenin equivalent RL of a transistor. For network for the load. The network in the figure contains a resistor and a capacitor in addition to various sources.

With respect to the load consisting of RL in series with L, determine the Thevenin equivalent network. Using the network of Prob. For the network used in Prob. Determine the Norton equivalent network for the network given in Prob.

Determine the Norton equivalent network for the system described in Prob. In the given network, the switch is in position a until a steady state is. Under that condition, determine the transform of the voltage across the 0. Find the current in the resistor R3 using a Thevenin's theorem, and b Norton's theorem.

Thenetwork shown in the figure is a low-pass filter. By using Thevenin's theorem, show that the transform of the output voltage is.

Using either Thevenin's or Norton's theorem, determine an equivalent network for the terminals a-b in the figure for zero initial conditions. I, a steady: The network given contains a controlled source. For the given network, determine the equivalent Thevenin network to compute the transform of the current in RL. Assuming zero initial voltage on the capacitor, determine 1 he equivalent Norton network for the resistor Rx.

Consid elements. T represented I fastened to a access, the en are required necting some ments. The IT the terminal! Dividing Eq. Chapter Chapter 8. Two topics of this chapter which lend themselves to computer solutionare the determination of the roots of a polynomial and the determination of the locus of roots. The sections of Appendix E devoted to these topicsare E-l and E For this network show that 12 -. For the resistive two-port network of the figure, determine numerical value for a G12, b Z12, c Y12, and d tX12 the and dete.

For the network shown in the figure, show that the voltage-ratio transfer function is. For each of the networks shown in the accompanying figure, connect a voltage source VI to port I and designate polarity references for V2 at port 2.

For the network given in Fig.

PlO-ll a , terminate port 2 in a I-Q resistor and connect a voltage source at port I. Let 11 be the current in the voltage source and 12 be the current in the I-n load. Assign reference directions for each. PIO-ll b. PlO-Il g. For the network of Fig. Assign reference directions for all voltages and currents. The network shown in a of the figure is known as a shunt peaking network.

Show that the impedance has the form Z s. This may be done by the graphical procedure of Section Plot the value of K2 as a function of a for values of a between 0 and 5. This may be done graphically.

Plot the value of K3 as a function of a for values of a between 0 and 5. Apply the Routh-Hurwitz criterion to the following equations and determine: For the Dete. The am analyzed. Repeat the tests of Prob. Show method.

For the following polynomial, determine the number of zeros in the right half of the s plane, the left half of the s plane, and on the imaginary axis the boundary of the s plane: Use the Routh-Hurwitz criterion to determine a set of conditions necessary in order that all roots of the equation have negative real parts. Assume that all coefficients in the equation are positive.

For what values of k will the network be stable? In other words, for what values of k will the roots of the characteristic equation have real parts in the left half of the s plane? For the network of Prob.

Determine the relationship that must exist between RI and Cz for the system to oscillate, that is, for the roots of the characteristic equation to be conjugate and have zero real parts. The amplifier-network shown in the accompanying figure is to be analyzed.

What will be the frequency of oscillation? Assume that the amplifier has infinite input impedance and zero output impedance.

The network of the accompanying figure represents a phase-shift oscillator. Crosshatch the area of permitted values of Kt and K2 in the Kt-K2 plane. Values for the elements of the Routh array can also be expressed in terms of second-order determinants multiplied by - 1.

Thus the formulas shown in Fig. Using the indexing scheme suggested on page , give a general formula for the elements of the Routh array. In in Table In connection with the matrix multiplication of the ABeD parameter matrices for networks connected in cascade, see the exercises in references cited in Appendix E The determination of the other parameters involves ordinary network analysis with the special condition that the one pair 01 network terminals be either open or shorted.

These topics are considered in references cited in Appendix E Find the y and z parameters the figure if they exist. For the two networks eter's if they exist. The and det. The network of the figure contains a current-controlled source.

For this network, find the y and z parameters. Find the y and z parameters for the resistive network containing a controlled source as shown in the accompanying figure. The accompanying figure shows a resistive network containing a singlecontrolled source. Thenetwork of the figure contains both a dependent current source and a dependent voltage source. For the element values given, determinethe y and z parameters. The accompanying network contains a voltage-controlled source and a current-controlled source.

For the element values specified, determine the y and z parameters. The network of the figure is a bridged- T RC network. For the values given, find the y and z parameters. The accompanying figure shows a network with passive elements and two ideal transformers having I: I turns-ratios.

For the element. The network of the figure represents a certain transistor over a given range of frequencies, For this network, determine a the h param-. Check your results using Table The network of the figure represents the transistor of Prob. For this network, determine a the h parameters, and b the g parameters. If la is a constant equal to 1 amp, find the voltages and the two ports of the network N, VI and V2 The network shown in the figure consists of a resistive T-and a resis-.

For the element values given, determine the Y parameters. The resistive network shown in the figure is to be analyzed to determine the Y parameters. The accompanying figure shows two two-port networks connected in parallel. One two-port contains only a gyrator, and the other is a resistive network containing a single controlled source.

For this network, determine the Y parameters. In the network of Fig. The network of the figure is of the type used for the so-called "notch filter. Let the element values for the network shown in Fig. Using these values, determine the y parameters. The figure shows two networks as a and b.

It is asserted that one is the equivalent of the other. Is this assertion correct? Show reasoning. If it is, might one network have an advantage over the other as far as the calculation of network parameters is concerned? Two two-port networks are said to be equivalent if they have identical y or z parameters or other of the characterizing parameters. In this problem, we wish to study the conditions under.

Derive equations similar to those given in Prob. Apply the T-7t transformation of Prob. Apply the T-n transformation to obtain an equivalent a T-network and b zr-network for the capacitive network given in the figure. Apply the T-7t transformation as many times as is necessary to the inductive ladder network shown in the accompanying figure in order to determine the numerical values for the equivalent a T-network, b z-network.

## Solution Manual for Network Analysis by Van Valkenburg (Chapter 4)

The network given in the figure is known as a lattice network; this lattice is symmetrical in the sense that two arms of the lattice have impedance Z, and two have impedance Zb' For this network, a determine the z parameters, and b express Z; and Z; in terms of z parameters.

In this problem, we consider two-port networks having a symmetry property illustrated in a of the figure: If the network is divided at the dashed line, the two half networks have mirror symmetry with respect to the dashed line. The two half networks are connected by any number of wires as shown, and we will consider only the cases in which these wires do not cross.

A theorem due to Bartlett states that these impedances are related to those given for the arms of the lattice in Prob. This is known as Bartlett's bisection theorem, and permits an equivalent lattice network to be found for any symmetrical network. Prove the theorem. Apply the theorem of Prob. J I 'ng a sym, network is nirror syrn: Show that with port 2 open,. The figure shows two two-port networks connected in cascade. The two networks are distinguished by the subscripts a and b.

Show that the combined network may be described by the equations.K vlt L -lH Fig. Demonstrate that the two networks shown in Fig. The network shown in a of the figure is known as a shunt peaking network. For the element values given, determine the current i t for 1 -1 2 O. He says a compromise between nature and the special form of nuture we call culture is abstract.

Where is the network analysis ebook by van valkenberg. Its contentious reputation was not due, in all likelihood, to the first of Freud's three essays, which concerned perversions. Apply the T-7t transformation as many times as is necessary to the inductive ladder network shown in the accompanying figure in order to determine the numerical values for the equivalent a T-network, b z-network.

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