Engineering Circuit Analysis
9th Edition
ISBN: 9780073545516
Author: Hayt, William H. (william Hart), Jr, Kemmerly, Jack E. (jack Ellsworth), Durbin, Steven M.
Publisher: Mcgraw-hill Education,
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Chapter 4, Problem 38E
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4. Discussion: Compare between theoretical effect of KD at first order and second order systems
regarding steady-state errors and transient responses with the practical obtained results whenever applying
step input signal. In Experiment Derivative Controller
55-82
For the state space model, find the following:
1. Identify the state-space matrices A,B,C, and D.
2. Compute the transfer function G(s) analytically (by hand).
3. Solve for x(t) given a step input u(t) =1 and zero initial conditions (use transition matrix).
4. Use MATLAB to compute the transfer function.
5. Plot the step response using MATLAB.
[X] = 71+0u
y = x1 + x2
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Chapter 4 Solutions
Engineering Circuit Analysis
Ch. 4.1 - For the circuit of Fig. 4.3, determine the nodal...Ch. 4.1 - For the circuit of Fig. 4.5, compute the voltage...Ch. 4.1 - For the circuit of Fig. 4.8, determine the nodal...Ch. 4.2 - For the circuit of Fig. 4.11, compute the voltage...Ch. 4.3 - Determine i1 and i2 in the circuit in Fig. 4.19....Ch. 4.3 - Determine i1 and i2 in the circuit of Fig 4.21....Ch. 4.3 - Determine i1 in the circuit of Fig. 4.24 if the...Ch. 4.4 - Determine the current i1 in the circuit of Fig....Ch. 4.4 - Determine v3 in the circuit of Fig. 4.28. FIGURE...Ch. 4 - Solve the following systems of equations: (a) 2v2 ...
Ch. 4 - (a) Solve the following system of equations:...Ch. 4 - (a) Solve the following system of equations:...Ch. 4 - Correct (and verify by running) the following...Ch. 4 - In the circuit of Fig. 4.35, determine the current...Ch. 4 - Calculate the power dissipated in the 1 resistor...Ch. 4 - For the circuit in Fig. 4.37, determine the value...Ch. 4 - With the assistance of nodal analysis, determine...Ch. 4 - Prob. 9ECh. 4 - For the circuit of Fig. 4.40, determine the value...Ch. 4 - Use nodal analysis to find vP in the circuit shown...Ch. 4 - Prob. 12ECh. 4 - Prob. 13ECh. 4 - Determine a numerical value for each nodal voltage...Ch. 4 - Prob. 15ECh. 4 - Using nodal analysis as appropriate, determine the...Ch. 4 - Prob. 17ECh. 4 - Determine the nodal voltages as labeled in Fig....Ch. 4 - Prob. 19ECh. 4 - Prob. 20ECh. 4 - Employing supernode/nodal analysis techniques as...Ch. 4 - Prob. 22ECh. 4 - Prob. 23ECh. 4 - Prob. 24ECh. 4 - Repeat Exercise 23 for the case where the 12 V...Ch. 4 - Prob. 26ECh. 4 - Prob. 27ECh. 4 - Determine the value of k that will result in vx...Ch. 4 - Prob. 29ECh. 4 - Prob. 30ECh. 4 - Prob. 31ECh. 4 - Determine the currents flowing out of the positive...Ch. 4 - Obtain numerical values for the two mesh currents...Ch. 4 - Use mesh analysis as appropriate to determine the...Ch. 4 - Prob. 35ECh. 4 - Prob. 36ECh. 4 - Find the unknown voltage vx in the circuit in Fig....Ch. 4 - Prob. 38ECh. 4 - Prob. 39ECh. 4 - Determine the power dissipated in the 4 resistor...Ch. 4 - (a) Employ mesh analysis to determine the power...Ch. 4 - Define three clockwise mesh currents for the...Ch. 4 - Prob. 43ECh. 4 - Prob. 44ECh. 4 - Prob. 45ECh. 4 - Prob. 46ECh. 4 - Prob. 47ECh. 4 - Prob. 48ECh. 4 - Prob. 49ECh. 4 - Prob. 50ECh. 4 - Prob. 51ECh. 4 - Prob. 52ECh. 4 - For the circuit represented schematically in Fig....Ch. 4 - The circuit of Fig. 4.80 is modified such that the...Ch. 4 - The circuit of Fig. 4.81 contains three sources....Ch. 4 - Solve for the voltage vx as labeled in the circuit...Ch. 4 - Consider the five-source circuit of Fig. 4.83....Ch. 4 - Replace the dependent voltage source in the...Ch. 4 - After studying the circuit of Fig. 4.84, determine...Ch. 4 - Prob. 60ECh. 4 - Employ LTspice (or similar CAD tool) to verify the...Ch. 4 - Employ LTspice (or similar CAD tool) to verify the...Ch. 4 - Employ LTspice (or similar CAD tool) to verify the...Ch. 4 - Verify numerical values for each nodal voltage in...Ch. 4 - Prob. 65ECh. 4 - Prob. 66ECh. 4 - Prob. 67ECh. 4 - Prob. 68ECh. 4 - Prob. 69ECh. 4 - (a) Under what circumstances does the presence of...Ch. 4 - Referring to Fig. 4.88, (a) determine whether...Ch. 4 - Consider the LED circuit containing a red, green,...Ch. 4 - The LED circuit in Fig. 4.89 is used to mix colors...Ch. 4 - A light-sensing circuit is in Fig. 4.90, including...Ch. 4 - Use SPICE to analyze the circuit in Exercise 74 by...
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- A DPSK has the following data input: d(n) =101011010001 1. Find the output coded sequence and the carrier phase. 2. Recover the input data from the output coded sequence.arrow_forwardQ9 A single-phase transformer, 2500 / 250 V, 50 kVA, 50 Hz has the following parameters, the Primary and secondary resistances are 0.8 ohm and 0.012 ohm respectively, the primary and secondary reactance are 4 ohm and 0.04 ohm respectively and the transformer gives 96% maximum efficiency at 75% full-load. The magnetizing component of-load current is 1.2 A on 2500 V side. 1- Draw the equivalent circuit referred to primary (H.V side) and inserts all the values in it 2- Find out Ammeter, voltmeter and wattmeter readings on open-circuit and short-circuit test. If supply is given to 2500 V side in both cases. Ans. O.C. Test (Vo= 2500 V, lo=1.24 A, Wo=781.25 w) S.C. Test (Vsc =164.924 V, Isc =20 A, Wsc =800 w )arrow_forwardA modulating signal f(t) is bandlimited to 5.5 kHz is sampled at a rate of 15000 samples/sec. The samples are quantized into 1024 levels. Calculate transmission bandwidth if the following modulation types are used for signal transmission: 1-ASK, QAM 2-QPSK, 8-PSK 3-FSK, 8-FSK with Af = 20 kHzarrow_forward
- Q10 The full-load copper loss on the H.V. side of 100KVA, 11000/317 V, single-phase transformer is 0.62 kw and on the L.V. side is 0.48 kW. i) Calculate R1, R2 in ohms ii) Find X1,X2,if the percentage equivalent reactance is 4%, and reactance is divided in same proportion as resistance. Ans, 27.30, 0.175), 0.00482 . (7.5)arrow_forwardFind the binary sequence, for the following Differential Manchester code.arrow_forwardQ2- What are the parameters and loss that can be determined during open-circuit test of singlephase transformer. Draw the circuit diagram of open-circuit test and explain how can you calculate the Parameters and loss.arrow_forward
- Q6- the open circuit and short circuit tests on a 10 KVA, 125/250 v, 50 Hz single phase transformer gave the following results: O.C. Test: 125 V,0.6 A, 50 W ( on L.V.) S.C. Test: 20 V, 40 A, 177.78 W (on H.V. side) Calculate: i) Copper losses on half load ii) Full load efficiency at 0.8 leading p.f. iii) Half load efficiency at 0.8 leading p.f. iv) Regulation at full load at 0.9 leading p.f. Ans: 44.445 W, 97.23%, 97.69%, -1.8015%arrow_forwardQ3-A two-winding transformer has a primary winding with 208 turns and a secondary winding with 6 turns. The primary winding is connected to a 4160V system. What is the secondary voltage at no load? What is the current in the primary winding with a 50-amp load connected to the secondary winding? What is the apparent power flowing in the primary and secondary circuits? Ans. 120 V, 1.44 A, 6000 VAarrow_forwardQ12- A three phase transformer 3300/400 V,has D/Y connected and working on 50Hz. The line current on the primary side is 12A and secondary has a balanced load at 0.8 lagging p.f. Determine the i) Secondary phase voltage ii) Line current iii) Output power Ans. (230.95 V, 99.11 A, 54.94 kW)arrow_forward
- Q1- A single phase transformer consumes 2 A on no load at p.f. 0.208 lagging. The turns ratio is 2/1 (step down). If the loads on the secondary is 25 A at a p.f. 0.866 lagging. Find the primary current and power factor.arrow_forwardQ7- A 5 KVA, 500/250 V,50 Hz, single phase transformer gave the following reading: O.C. Test: 250 V,2 A, 50 W (H.V. side open) S.C. Test: 25 V10 A, 60 W (L.V. side shorted) Determine: i) The efficiency on full load, 0.8 lagging p.f. ii) The voltage regulation on full load, 0.8 leading p.f. iii) Draw the equivalent circuit referred to primary and insert all the values it.arrow_forwardQ4- A single phase transformer has 350 primary and secondary 1050 turns. The primary is connected to 400 V,50 Hz a.c. supply. If the net cross sectional area of core is 50 cm2, calculate i) The maximum value of the flux density in the core. ii) The induced e.m.f in the secondary winding. Ans: 1.029 T, 1200Varrow_forward
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