![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 current in s-domain, Ks). The transfer function of this circuit can be written as ?s)-var Vn. (0) Determine the expression of the transfer function H(s). (i) Draw the block diagram to realize the transfer function of this circuit. (d) 2 marks [4 marks Question 4 (20 marks) Given that the function of a system is: H(z) a) Briefly explain the purpose of performing z-transform in signal analysis. 2 marks z-2](http://img.homeworklib.com/questions/3ad680a0-ab7c-11eb-b70f-fbb449129a20.png?x-oss-process=image/resize,w_560)
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TEE301/05 Question 3 (20 marks) An RLC circuit with a 1V DC source is shown in...
Section 3: Laplace transform for RLC circuit analysis (10 marks) A second-order RLC circuit with a...
Section 3: Laplace transform for RLC circuit analysis (10 marks) A second-order RLC circuit with a dependent source is shown in Fig. 3. 22 + VO - 132 1F + 15e-2 u(t) V ) 9[1-u(t)] V Y 0.50 » Fig. 3 A second-order RLC circuit with a dependent source Take the Laplace transform of the circuit and hence find the response io(t) for t > 0. Specify whether it is an underdamped, critically damped or overdamped case. Sketch the response.
Question 8: 1. Redraw the circuit shown below with the s domain equivalent models, where V1(t)...
Question 8: 1. Redraw the circuit shown below with the s domain equivalent models, where V1(t) is a step function from 0 to 1V at t-0 2. Find transfer function in the s domain H( 3. Write the s-domain equation for Vout(s) if V1(s) is a 1V step function. 4. Write the equation of r of the circuit in terms of R's and C 5. Write the equation for the step response in the time domain. 6. You can either...
Purpose: Use Laplace transforms to find the time domain response of a RLC band-pass filter to...
Purpose: Use Laplace transforms to find the time domain response of a RLC band-pass filter to step and impulse inputs Vout Vin L=27 mH For the RLC circuit above Find the s-domain transfer function: Find the impulse response h(t) H(s) = Vout(s)/Vin(s) · These operations must be performed by hand using Laplace transforms, do not use MATLAB or a circuit simulator. We will verify your hand calculations in lab. Hints: To find the transfer function, find the equivalent impedance of...
2. (14 marks total) This question deals with the series RLC circuit discussed in the classroom...
2. (14 marks total) This question deals with the series RLC circuit discussed in the classroom and in the labs. Assume that the voltage source is arbitrary and there is a non-zero charge, g(0), on the capacitor at time t 0 when a switch is closed to start current flow. For this question assume variable R, L and C values. (a) Write down the differential equation that describes the charge on the capacitor as a function of time. (2 marks)...
Question 2 For the circuit shown in Fig. 3, E is a dc source given by...
Question 2 For the circuit shown in Fig. 3, E is a dc source given by E = 15 V, and Is is an ac source given by is = 0.5V2 sin(2000t + 20°) A. 1) What is the phasor expression for Is? 2) Determine the sinusoidal (time domain) expression for the voltage V. Use superposition, R, = R, = R, =100 G =C, = 504F 4 = L; =5mH 65 2 - 41° V 822 402 Question 3 Write...
thx!!!! Question 3 (5.5 marks) a) Find the transfer function of the electrical circuit shown in...
thx!!!!
Question 3 (5.5 marks) a) Find the transfer function of the electrical circuit shown in Figure 1. What is the value of the steady state gain(s), if any? b) If R1 1, R2 = 2n, C\ = 2- 10-3F, C 1-10-3F, calculate the time constants of the system (if any). c) Find the initial and final values of the unit impulse response of the circuit d) Derive the time-domain expression of the output if the input is the function...
Problem 5 (20 Points): For the circuit shown below, the input is the current source, I(t) and the...
Problem 5 (20 Points): For the circuit shown below, the input is the current source, I(t) and the output is eo. 1). Find the state variable model. Take ec and IL as state variables (refer notes from Chapter-6). 2). Apply Laplace Transform on the state variable model (from part-1) and show that the transform of the output (eo) is given by the expression: 사스 ; if the initial conditions, L(0) and ec(0) are known. Note: ec(0)-eo(0) R L R L...
An RLC circuit has an initial voltage across the capacitor and polarity as marked on the...
An RLC circuit has an initial voltage across the capacitor and
polarity as marked on the circuit shown below. The switch is closed
at t = 0 and a current i(t) is assumed to flow clockwise in the
circuit. Determine which expression correctly represents the
Laplace-transformed value of current, i(s). Note that the
coefficient of the highest power of s in the denominator may have
to be made unity.
(TCO 2) An RLC circuit has an initial voltage across the...
3. Examine the series RLC circuit in Fig. 15.53, with R = 100 Ω, L =...
3. Examine the series RLC circuit in Fig. 15.53, with R = 100 Ω, L = 5 mH, and C 2 HF. Calculate the magnitude of the transfer function H(jo) Vout/Vin at frequencies of 0, 2 kHz, and oo for the three cases where (a) vVout VR, (b outVL, and (c) VoutVo VR in FIGURE 15.53
please answer both questions Problem 3 (20 Points) There is no energy stored in the circuit...
please answer both
questions
Problem 3 (20 Points) There is no energy stored in the circuit fort <0. Use the Laplace transform to find the time domain expression for vo(t). 2002 2002 200u(t) V 10 MF 3400 mH Problem 4 (20 Points) For each circuit, calculate the transfer function, the poles of the transfer function 1204F and the zeros of the transfer function. 2 k2 20 MF 2k9 (b) 250 kA 125 mH 1) 125 mHg 250 0} (c) 800...
Section 3: Laplace transform for RLC circuit analysis (10 marks) A second-order RLC circuit with a dependent source is shown in Fig. 3. 22 + VO - 132 1F + 15e-2 u(t) V ) 9[1-u(t)] V Y 0.50 » Fig. 3 A second-order RLC circuit with a dependent source Take the Laplace transform of the circuit and hence find the response io(t) for t > 0. Specify whether it is an underdamped, critically damped or overdamped case. Sketch the response.
Question 8: 1. Redraw the circuit shown below with the s domain equivalent models, where V1(t) is a step function from 0 to 1V at t-0 2. Find transfer function in the s domain H( 3. Write the s-domain equation for Vout(s) if V1(s) is a 1V step function. 4. Write the equation of r of the circuit in terms of R's and C 5. Write the equation for the step response in the time domain. 6. You can either...
Purpose: Use Laplace transforms to find the time domain response of a RLC band-pass filter to step and impulse inputs Vout Vin L=27 mH For the RLC circuit above Find the s-domain transfer function: Find the impulse response h(t) H(s) = Vout(s)/Vin(s) · These operations must be performed by hand using Laplace transforms, do not use MATLAB or a circuit simulator. We will verify your hand calculations in lab. Hints: To find the transfer function, find the equivalent impedance of...
2. (14 marks total) This question deals with the series RLC circuit discussed in the classroom and in the labs. Assume that the voltage source is arbitrary and there is a non-zero charge, g(0), on the capacitor at time t 0 when a switch is closed to start current flow. For this question assume variable R, L and C values. (a) Write down the differential equation that describes the charge on the capacitor as a function of time. (2 marks)...
Question 2 For the circuit shown in Fig. 3, E is a dc source given by E = 15 V, and Is is an ac source given by is = 0.5V2 sin(2000t + 20°) A. 1) What is the phasor expression for Is? 2) Determine the sinusoidal (time domain) expression for the voltage V. Use superposition, R, = R, = R, =100 G =C, = 504F 4 = L; =5mH 65 2 - 41° V 822 402 Question 3 Write...
thx!!!!
Question 3 (5.5 marks) a) Find the transfer function of the electrical circuit shown in Figure 1. What is the value of the steady state gain(s), if any? b) If R1 1, R2 = 2n, C\ = 2- 10-3F, C 1-10-3F, calculate the time constants of the system (if any). c) Find the initial and final values of the unit impulse response of the circuit d) Derive the time-domain expression of the output if the input is the function...
Problem 5 (20 Points): For the circuit shown below, the input is the current source, I(t) and the output is eo. 1). Find the state variable model. Take ec and IL as state variables (refer notes from Chapter-6). 2). Apply Laplace Transform on the state variable model (from part-1) and show that the transform of the output (eo) is given by the expression: 사스 ; if the initial conditions, L(0) and ec(0) are known. Note: ec(0)-eo(0) R L R L...
An RLC circuit has an initial voltage across the capacitor and
polarity as marked on the circuit shown below. The switch is closed
at t = 0 and a current i(t) is assumed to flow clockwise in the
circuit. Determine which expression correctly represents the
Laplace-transformed value of current, i(s). Note that the
coefficient of the highest power of s in the denominator may have
to be made unity.
(TCO 2) An RLC circuit has an initial voltage across the...
3. Examine the series RLC circuit in Fig. 15.53, with R = 100 Ω, L = 5 mH, and C 2 HF. Calculate the magnitude of the transfer function H(jo) Vout/Vin at frequencies of 0, 2 kHz, and oo for the three cases where (a) vVout VR, (b outVL, and (c) VoutVo VR in FIGURE 15.53
please answer both
questions
Problem 3 (20 Points) There is no energy stored in the circuit fort <0. Use the Laplace transform to find the time domain expression for vo(t). 2002 2002 200u(t) V 10 MF 3400 mH Problem 4 (20 Points) For each circuit, calculate the transfer function, the poles of the transfer function 1204F and the zeros of the transfer function. 2 k2 20 MF 2k9 (b) 250 kA 125 mH 1) 125 mHg 250 0} (c) 800...
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