Electrical Engineering: Principles & Applications, 7th Edition
7th Edition
ISBN: 9780134485201
Author: Allan R. Hambley
Publisher: PEARSON
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Textbook Question
Chapter 4, Problem 4.53P
Determine the form of the particular solution for the differential equation
Then, find the particular solution [Hint:The particular solution includes terms with the same functional forms as the terms found in the forcing function and its derivatives.]
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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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- Power systems. this is not a graded assignment. for personal studiesarrow_forwardDon't use guidelines okk just solve all accurate only 100% sure experts solve it correct complete solutions okkkarrow_forward3. Consider the circuit, in which R₁ = 10 KQ2, R2 = 5 KQ, R3 = 1 KQ, and RE = 8 KQ. The supply voltages are +Vcc = 10 V and -VEE = -5 V. Other parameters are ẞF = 100, VBE(On) = 0.7 V, and VCE(Sat) 0.2 V. Rc value will be specified later. (a) (3 points) Draw the dc equivalent circuit of the circuit. VI +Vcc Rc R2 RI R₁ RE -VEE υο R3 (b) Find the Thevenin equivalent voltage source VEQ and input resistance REQ of the DC equivalent circuit. Show your work. +Vcc Rc UC VEQ www REQ VE VEQ = REQ = ΚΩ RE VEEarrow_forward
- 5. Consider the ac equivalent circuit of an amplifier, where RE = 1 KS2, gm = 0.05 S, and Υπ= 2Κ Ω. (a) Redraw the ac equivalent circuit using the hybrid-pi small signal model for BJTS. Include ro in the model. R₁ ww Vi RB ww + RL Vo RE (b) Find the terminal resistance RIB using the circuit obtained in (a). Ignore ro. Show your work. (Don't use formula for RiB.)arrow_forward4. Consider the circuit. Use the symbol || to indicate the parallel of resistors in the following questions. (a) Express the input resistance Rin in terms of the terminal resistance and other necessary resistor values. (In other words, RiB, Ric, and RIE are given.) C₁ R₁ R₂ +Vcc Rc C3 R3 C2 ی RE -VEE (b) Express the output resistance Rout in terms of the terminal resistance and other necessary resistor values. (In other words, RiB, Ric and RiE are given.) (c) Express the voltage gain A₁ = ∞ in terms of terminal voltage gain Avt, the terminal Vi resistance, and other necessary resistor values. (Avt, RiB, Ric and R₁E are given.) +51arrow_forward2. ẞ 100, VBE(on)= 0.7 V, and VCE(sat) = 0.2 V for the BJT. We want to find the Q-point through the following steps. Show your work. a) Find the bias voltage VTH Using Thevenin's equivalent circuit. R1|| R2 www +5 V R₁ = 20 k IB VTH Answer: VTH = V b) Find the base current voltage IB. www. Answer: IB = μA (note the unit.) c) Find the collector voltage Vc (with reference to the ground). RC= 2.3 k B E R₂ = 30 k -5 V www R₁ = 5 ΚΩ ww AHI› RE= 5 ΚΩarrow_forward
- 3. Consider the circuit, in which R₁ = 10 KQ2, R2 = 5 KQ, R3 = 1 KQ, and RE = 8 KQ. The supply voltages are +Vcc = 10 V and -VEE = -5 V. Other parameters are ẞF = 100, VBE(On) = 0.7 V, and VCE(Sat) 0.2 V. Rc value will be specified later. (a) (3 points) Draw the dc equivalent circuit of the circuit. VI +Vcc Rc R2 RI R₁ RE -VEE υο R3 (b) Find the Thevenin equivalent voltage source VEQ and input resistance REQ of the DC equivalent circuit. Show your work. +Vcc Rc UC VEQ www REQ VE VEQ = REQ = ΚΩ RE VEEarrow_forwardThe solution is with a pen and paper. Really not smartarrow_forward1. Consider the following mechanical system. Obtain the differential equation model for the system. Write the transfer function of the system also. Note here, input u(t) is force and output x(t) is the displacement of the mass. x (Output) k1 k2 www u(t) m (Input force) No frictionarrow_forward
- NO AI PLEASEarrow_forward2. Consider the following mechanical system with two masses. Find the differential equation model for the system. Find the transfer functions X1(s) and U(s) Note, in the figure, x₁ and x2 are displacements and u is the force. X2(s) U(s) also. k₁ www + b₁ " x1 k2 kz www mi www m2 Đ b₂arrow_forward4. Find the transfer function H(s) = = Vo(s) V₁(s) for the following circuit. Vi R₁ ww A R₂ ww Voarrow_forward
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