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Problem 3 (20 Points) There is no energy stored in the circuit...
problem: The initial energy stored in the circuit in is zero. Find vy(t) for 120. 250...
problem:
The initial energy stored in the circuit in is zero. Find vy(t) for 120. 250 mH 80 mA 2002 0,00) +16 4F
Problem 1: There is no energy stored in the circuit below at t=0 and that V,(s)...
Problem 1: There is no energy stored in the circuit below at t=0 and that V,(s) = 600u(t). a) Using the Laplace transform method of analysis, develop a system of nodal equations for Vo(s). Put your final equations into the matrix form [G] [V] = [1] and box your answer. *hint: it helps to put your equations in a flattened form (i.e. no denominators) b) Find Vo(s) c) Find vo(1). Box your answer. 100 w 20 H YYY 100 mF...
Problem 1. (50 points) In the circuit, the initial currents in inductors L1 and L2 have...
Problem 1. (50 points) In the circuit, the initial currents in inductors L1 and L2 have been established by sources not shown. The switch is opened at t = 0. a) Find 11, 12, and is for t 2 0. b) Calculate the initial energy stored in the parallel inductors. c) Determine how much energy is stored in the inductors as t o 412 M 1 = 0) 8a13;" 4a13; 34, (5 H) 3L, (20 H) (1) 4022 3151 31012...
Q3. (1) Initial energy stored in the circuit is zero. Use Laplace transform to find Thevenin...
Q3. (1) Initial energy stored in the circuit is zero. Use Laplace transform to find Thevenin equivalent voltage (Vth) and Thevenin equivalent impedance (Zth) in the s domain with respect to terminals 'a' and 'b'. (12 points) 22 M 20u(t) (2) Find the time-domain solution for current iz(t). (8 points)
Problem#3 (16 points) Consider a system that has R(S) as the input and Y (S) as...
Problem#3 (16 points) Consider a system that has R(S) as the input and Y (S) as the output. The transfer function is given by: Y(S) R(S) 45+12 What are the poles of the system? For r(t) output in the time-domain y(t) For r(t) = t, t output in the time-domain y(t) 1- 2- 1,t 0, use partial fraction expansion and inverse Laplace transform to find the 3- 0, use partial fraction expansion and inverse Laplace transform to find the
Problem 5 (20 points) No energy is stored in the 100 mH inductor or the 0.4...
Problem 5 (20 points) No energy is stored in the 100 mH inductor or the 0.4 LF capacitor when the switch in the circuit shown in figure below is closed. 0.1 H -O 2800 0.4 F 50 V uc Fig. 5 a) Find the values of a and co b) What is the type of circuit response for t>0? c)What is the initial voltage across the capacitor at t=0- and at t=0+? d) Find an expression for the current through...
TEE301/05 Question 3 (20 marks) An RLC circuit with a 1V DC source is shown in...
TEE301/05 Question 3 (20 marks) An RLC circuit with a 1V DC source is shown in Fig. 1: i(t) Vout - R-0.22 L-0.1 H C- 10 F Fig. 1 (a) List two properties of Laplace transform. Explain these two properties. [6 marks] (b) Assume that the initial inductor current is OA and initial capacitor voltage is 0.4 V 4 marks] (c) Determine the current, t) in time domain by performing inverse Laplace transform. [4 marks) determine the expression of the...
problem 7 Problem-4 [10 Points] Find the Laplace transforms of the functions in Figure. 2 Figure....
problem 7
Problem-4 [10 Points] Find the Laplace transforms of the functions in Figure. 2 Figure. 2: Triangular Function Problem-5 [10 Pointsl A system has the transfer function h(s) = (s1)(s +2) a) Find the impulse response of the system b) Determine the output y(t), given that the input is x(t) u(t) Problem-6 [10 Pointsl Use the Laplace transform to solve the differential equation +22+10v(t) 3 cos(2t) dt2 dt subject to v(0)-1, dv(O) Problem-7 [10 Points] Solve the integrodifferential equation...
Problem 1 (10 points): The switch in the circuit of Fig. 1 has been in position...
Problem 1 (10 points): The switch in the circuit of Fig. 1 has been in position a for a long time. Att 0, the switch moves to position b 1. (4 points) Construct an s-domain circuit for t> 0 2. (4 points) Find Vo(s) and vo(t) for t> 0 3. (2 points) Find IL(s) and iL () fort > 0. t-0 Ri R2 R1 = 400 ohms, R2 = 1000 ohms, C = 6.25 nF L 16 mH, and vg-360...
Problem 2 (35 points) In the circuit shown below, the switch is closed at t =...
Problem 2 (35 points) In the circuit shown below, the switch is closed at t = 0. t=0 L = 1 mH C1 = 5 uF C2 = 10 uf = l(s) Problem 2 The capacitor voltages at t = 0 are VC, (0) VC, (0) = = -50 V 30 V where the capacitor voltage polarities are indicated on the circuit drawing. Solve for the loop current i(t) using the Laplace transform method.
problem:
The initial energy stored in the circuit in is zero. Find vy(t) for 120. 250 mH 80 mA 2002 0,00) +16 4F
Problem 1: There is no energy stored in the circuit below at t=0 and that V,(s) = 600u(t). a) Using the Laplace transform method of analysis, develop a system of nodal equations for Vo(s). Put your final equations into the matrix form [G] [V] = [1] and box your answer. *hint: it helps to put your equations in a flattened form (i.e. no denominators) b) Find Vo(s) c) Find vo(1). Box your answer. 100 w 20 H YYY 100 mF...
Problem 1. (50 points) In the circuit, the initial currents in inductors L1 and L2 have been established by sources not shown. The switch is opened at t = 0. a) Find 11, 12, and is for t 2 0. b) Calculate the initial energy stored in the parallel inductors. c) Determine how much energy is stored in the inductors as t o 412 M 1 = 0) 8a13;" 4a13; 34, (5 H) 3L, (20 H) (1) 4022 3151 31012...
Q3. (1) Initial energy stored in the circuit is zero. Use Laplace transform to find Thevenin equivalent voltage (Vth) and Thevenin equivalent impedance (Zth) in the s domain with respect to terminals 'a' and 'b'. (12 points) 22 M 20u(t) (2) Find the time-domain solution for current iz(t). (8 points)
Problem#3 (16 points) Consider a system that has R(S) as the input and Y (S) as the output. The transfer function is given by: Y(S) R(S) 45+12 What are the poles of the system? For r(t) output in the time-domain y(t) For r(t) = t, t output in the time-domain y(t) 1- 2- 1,t 0, use partial fraction expansion and inverse Laplace transform to find the 3- 0, use partial fraction expansion and inverse Laplace transform to find the
Problem 5 (20 points) No energy is stored in the 100 mH inductor or the 0.4 LF capacitor when the switch in the circuit shown in figure below is closed. 0.1 H -O 2800 0.4 F 50 V uc Fig. 5 a) Find the values of a and co b) What is the type of circuit response for t>0? c)What is the initial voltage across the capacitor at t=0- and at t=0+? d) Find an expression for the current through...
TEE301/05 Question 3 (20 marks) An RLC circuit with a 1V DC source is shown in Fig. 1: i(t) Vout - R-0.22 L-0.1 H C- 10 F Fig. 1 (a) List two properties of Laplace transform. Explain these two properties. [6 marks] (b) Assume that the initial inductor current is OA and initial capacitor voltage is 0.4 V 4 marks] (c) Determine the current, t) in time domain by performing inverse Laplace transform. [4 marks) determine the expression of the...
problem 7
Problem-4 [10 Points] Find the Laplace transforms of the functions in Figure. 2 Figure. 2: Triangular Function Problem-5 [10 Pointsl A system has the transfer function h(s) = (s1)(s +2) a) Find the impulse response of the system b) Determine the output y(t), given that the input is x(t) u(t) Problem-6 [10 Pointsl Use the Laplace transform to solve the differential equation +22+10v(t) 3 cos(2t) dt2 dt subject to v(0)-1, dv(O) Problem-7 [10 Points] Solve the integrodifferential equation...
Problem 1 (10 points): The switch in the circuit of Fig. 1 has been in position a for a long time. Att 0, the switch moves to position b 1. (4 points) Construct an s-domain circuit for t> 0 2. (4 points) Find Vo(s) and vo(t) for t> 0 3. (2 points) Find IL(s) and iL () fort > 0. t-0 Ri R2 R1 = 400 ohms, R2 = 1000 ohms, C = 6.25 nF L 16 mH, and vg-360...
Problem 2 (35 points) In the circuit shown below, the switch is closed at t = 0. t=0 L = 1 mH C1 = 5 uF C2 = 10 uf = l(s) Problem 2 The capacitor voltages at t = 0 are VC, (0) VC, (0) = = -50 V 30 V where the capacitor voltage polarities are indicated on the circuit drawing. Solve for the loop current i(t) using the Laplace transform method.
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