P4.10. The circuit shown in Figure P4.10 is operating in steady state with the switch open prior to t = 0. Find expressions for i(t) for t < 0 and for t> 0. Sketch i(t) to scale versus time. %3D 1 = () 2.jpg 75 N 25 2 100 V L = 2 H i(1)
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- A dc source is connected to a series RLC circuit by a switch that closes at t=0, as shownin Figure P4.61. The initial conditions are i(0+)=0 and vC(0+)=0. Write the differentialequation for vC(t).Solve for v C ( t ), if R = 20 Ω.(b) A current waveform, I(t) (Figure Q1(b)(i) is applied to the circuit in Figur (i) Write the expression for 1.(1) (ii) Draw the voltage, V.(t) waveformP4.23. Solve for the steady-state values of i1, i2, i3, i4, and vc for the circuit shown in Figure P4.23, after the switch has been closed for a long time. i iz 14 1 H 500 2 100 V 50 2 100 2 vc 100 µF Figure P4.23
- 4. A series RC circuit has an emf given by 100cos4t with R 150ohms and C = 0.04F. If there is no initial charge on the capacitor, find an expression for current i at any time t.In the circuit shown in Figure P4.a, the switch is closed at t = 0. The capacitor voltage is charged to vc (0) = 12 V prior to t = 0. The voltage source is us(t) = 35 cos (1000t) V. Find the expressions of uc (t) and ic(t), respectively. vs(t) 500 Ω ww t=0 + v (t) - HH i(t) 1.5 µF 300 ΩP4.34. Consider the circuit shown in Figure P4.34. The initial current in the inductor is iL (0-) 0. Find expressions for i (t) and v(t) for t> 0 and sketch to scale versus time. 0.1 A (1) R = v(t) 1 k2 t = 0 1 mH Figure P4.34
- 4.3 Lagrange Relaxation Problem Given the three generating units that follows. F(P) = 30+10P +0.002P and 100 SP, 5 600 F,(P,)= 20+8P, +0.0025P and 100SP, S 400 F,(P,) = 10+6P, +0.005P? and 50P4.45.) Write the differential equation for i(t) and find the complete solution for the circuit of Figure P4.45. [Hint: Try a particular solution of the form ip (t) = Ae- ]with out Lapluce t = 0 10 H i(t) 5e Figure P4.454CIn the circuit shown in Figure P4.7, let for - 004.25. Consider the system of Figure P4.25, with h(t) = e¯al u (t). x(1) y(t) h(t) Figure P4.25 (a) For what values of a will the system be BIBO stable? = sin t + cos 3t. (b) Assume that the system is BIBO stable. The input signal is x(t) Find y(t).Solve for the steady-state values of i 1 , i 2 , and i 3 for the circuit shown in FigureP4.21.SEE MORE QUESTIONSRecommended textbooks for youIntroductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSONDelmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage LearningProgrammable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill EducationFundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill EducationElectric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSONEngineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,Introductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSONDelmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage LearningProgrammable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill EducationFundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill EducationElectric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSONEngineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,