Electrical Engineering: Principles & Applications, 7th Edition
7th Edition
ISBN: 9780134485201
Author: Allan R. Hambley
Publisher: PEARSON
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Chapter 4, Problem 4.9P
In physics, the half-life is often used to characterize exponential decay of physical quantities such as radioactive substances. The half-life is the time required for the quantity to decay to half of its initial value. The time constant for the voltage on a capacitance discharging through a resistance is T = RC. Find an expression for the half-life of the voltage in terms of R and C.
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A lossless uncharged transmission line of length L = 0.45 cm has a characteristic impedance of 60 ohms. It is driven by an ideal voltage generator producing a pulse of amplitude 10V and width 2 nS. If the transmission line is connected to a load of 200 ohms, sketch the voltage at the load as a function of time for the interval 0 < t < 20 nS. You may assume that the propagation velocity of the transmission is c/2. Answered now answer number 2.
Repeat Q.1 but now assume the width of the pulse produced by the generator is 4 nS. Sketch the voltage at the load as a function of time for 0 < t < 20 nS.
Solve this experiment with an accurate solution, please. Thank you.
Chapter 4 Solutions
Electrical Engineering: Principles & Applications, 7th Edition
Ch. 4 - Suppose we have a capacitance C discharging...Ch. 4 - The dielectric materials used in real capacitors...Ch. 4 - The initial voltage across the capacitor shown in...Ch. 4 - A 100F capacitance is initially charged to 1000 V....Ch. 4 - At t = 0, a charged 10{ F capacitance is connected...Ch. 4 - At time t1 , a capacitance C is charged to a...Ch. 4 - Given an initially charged capacitance that begins...Ch. 4 - The initial voltage across the capacitor shown in...Ch. 4 - In physics, the half-life is often used to...Ch. 4 - We know that a 50F capacitance is charged to an...
Ch. 4 - We know that the capacitor shown in Figure P4.11...Ch. 4 - The purchasing power P of a certain unit of...Ch. 4 - Derive an expression for vC(t) in the circuit of...Ch. 4 - Suppose that at t= 0, we connect an uncharged 10 F...Ch. 4 - Suppose we have a capacitance C that is charged to...Ch. 4 - A person shuffling across a dry carpet can be...Ch. 4 - Prob. 4.17PCh. 4 - Consider the circuit shown in Figure P4.18. Prior...Ch. 4 - List the steps for dc steady-state analysis of RLC...Ch. 4 - Explain why we replace capacitances with open...Ch. 4 - Solve for the steady-state values of i1, i2, and...Ch. 4 - Consider the circuit shown in Figure P4.22. What...Ch. 4 - In the circuit of Figure P4.23, the switch is in...Ch. 4 - The circuit shown in Figure P4.24 has been set up...Ch. 4 - Solve for the steady-state values of i1 , i2, i3,...Ch. 4 - The circuit shown in Figure P4.26 is operating in...Ch. 4 - Prob. 4.27PCh. 4 - Consider the circuit of Figure P4.28 in which the...Ch. 4 - For the circuit shown in Figure P4.29, the switch...Ch. 4 - Consider the circuit of Figure P4.30 in which the...Ch. 4 - Give the expression for the time constant of a...Ch. 4 - A circuit consists of switches that open or close...Ch. 4 - The circuit shown in Figure P4.33 is operating in...Ch. 4 - Consider the circuit shown in Figure P4.34. The...Ch. 4 - Repeat Problem P4.34 given iL(0)=0A .Ch. 4 - Real inductors have series resistance associated...Ch. 4 - Determine expressions for and sketch is(t) to...Ch. 4 - For the circuit shown in Figure P4.38,, find an...Ch. 4 - The circuit shown in Figure P4.39 is operating in...Ch. 4 - Consider the circuit shown in Figure P4.40. A...Ch. 4 - Due to components not shown in the figure, the...Ch. 4 - The switch shown in Figure P4.42 has been closed...Ch. 4 - Determine expressions for and sketch vR(t) to...Ch. 4 - What are the steps in solving a circuit having a...Ch. 4 - Prob. 4.45PCh. 4 - Solve for vC(t) for t > 0 in the circuit of Figure...Ch. 4 - Solve for v(t) for t > 0 in the circuit of Figure...Ch. 4 - Prob. 4.48PCh. 4 - Consider the circuit shown inFigure P4.49. The...Ch. 4 - Consider the circuit shown in Figure P4.50. The...Ch. 4 - The voltage source shown in Figure P4.51 is called...Ch. 4 - Determine the form of the particular solution for...Ch. 4 - Determine the form of the particular solution for...Ch. 4 - Prob. 4.54PCh. 4 - Prob. 4.55PCh. 4 - How can first-or second-order circuits be...Ch. 4 - Prob. 4.57PCh. 4 - Prob. 4.58PCh. 4 - Prob. 4.59PCh. 4 - Sketch a step response for a second-order system...Ch. 4 - A dc source is connected to a series RLC circuit...Ch. 4 - Repeat Problem P4.61 for R = 40 .Ch. 4 - Repeat Problem P4.61 for R = 20 .Ch. 4 - Prob. 4.64PCh. 4 - Repeat Problem P4.64 for R=50 .Ch. 4 - Repeat Problem P4.64 for R=500 .Ch. 4 - Solve for i(t) for t > 0 in the circuit of Figure...Ch. 4 - Prob. 4.68PCh. 4 - Prob. 4.69PCh. 4 - Prob. 4.70PCh. 4 - Use MATLAB to derive an expression for vc(t)in the...Ch. 4 - Prob. 4.72PCh. 4 - Consider the circuit shown in FigureP4.50 in which...Ch. 4 - Prob. 4.74PCh. 4 - Prob. 4.75PCh. 4 - Use MATLAB to solve for the mesh currents in the...Ch. 4 - The switch m the circuit shown in Figure T4.1 is...Ch. 4 - Prob. 4.2PTCh. 4 - Consider the circuit shown in Figure T4.3. Figure...Ch. 4 - Consider the circuit shown in Figure T4.4 in which...Ch. 4 - Write the MATLAB commands to obtain the solution...
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- A lossless uncharged transmission line of characteristic impedance Zo = 600 and length T = 1us is connected to a 180 load. If this transmission line is connected at t = 0 to a 90 V dc source with an internal resistance of 900, from a bounce diagram of this system sketch (a) the voltage at z=0, z=L, and z = L/2 for up to 7.25μs and (b) calculate the load voltage after an infinite amount of time.arrow_forwardA lossless uncharged transmission line of length L = 0.45 cm has a characteristic impedance of 60 ohms. It is driven by an ideal voltage generator producing a pulse of amplitude 10V and width 2 nS. If the transmission line is connected to a load of 200 ohms, sketch the voltage at the load as a function of time for the interval 0 < t < 20 nS. You may assume that the propagation velocity of the transmission is c/2.arrow_forwardThe VSWR (Voltage Standing Wave Ratio) is measured to be 2 on a transmission line. Find two values of the reflection coefficient with one corresponding to Z > Zo and the other to Zarrow_forwardA dc voltage of unknown value Vand internal resistance Reis connected through a switch to a lossless transmission line of Zo = 1000. If the first 5 μS of the voltages at z = 0 and z = L are observed to be as shown below, calculate Vo, RG, the load resistanceR,, and the transit time T. 100 + [V]:-0. V 90 [V]:-V 100 75 I, Տ 1,μs 2 4 6 0 2 4 6arrow_forwardA lossless open circuited transmission line behaves as an equivalent capacitance of Ceq = Tan (BL) Show for BL << 1 that Ceq = C'L where L is the length of the transmission line and wZo C' is the lumped parameter capacitance per unit length of the transmission line. Hint: For x small, Tan(x) = x.arrow_forward= A generator with VG 300V and R = 50 is connected to a load R = 750 through a 50 lossless transmission line of length L = 0.15 m. (a) Compute Zin, the input impedance of the line at the generator end. (b) Compute and V. (c) Compute the time-average power Pin delivered to the line. (d) Compute VL, IL, and the time-average power delivered to the load, PL (e) How does Pin compare to PL? Explain.arrow_forwardFor the regulated power supply circuit, assume regular diodes with 0.7V forward drop. Use a 15V (peak), 60Hz sine wave at the transformer secondary and assume a maximum ripple level of 1V. (a) Compute the unknown components needed to design 10V DC supply.Hint: find R first, and then C. What is the ripple level for C=22µF?Sketch the rectified, filtered, and regulated outputsarrow_forwardA) Find the solution of B) Find the convolution of Sewt (t-π)dt 8 e-atu(t)e-blu(t)arrow_forwardConsider the signal: f(t)= 0, ㅠ 1 Use the Fourier transform formula to find F(w). otherwisearrow_forwardA half-wave controlled rectifier is supplied by a 230 Vrms voltage source and has load resistance of 2502. Calculate the delay angle a that produces a load-absorbed power of 200W.arrow_forwardQ6 The FET shown in Fig. 1.43 has gm = 3.4 mS and rd =100 K. Find the approximate lower cutoff frequency. Ans: 735.1 Hz. 25V 1.5ΜΩ 20 ΚΩ 0.02µF HH 2ΚΩ 0.02µF HH 330kQ 820 ΩΣ 1.0µF www 40ΚΩarrow_forwardThe solution is with a pen and paper, without artificial intelligence.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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