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System Modeling and Laplace transform: In this problem we will review the modeling proce- dure for the RLC circuit as shown below, and how to find the corresponding transfer function and step respons...
(25 pts) In this problem we will review the modeling procedure for the RLC circuit as...
(25 pts) In this problem we will review the modeling procedure for the RLC circuit as shown below. Note that in this problem you need to show detailed derivation, and you will be deducted points if some important steps or interpretations are missing in your answer. UR UL Uin Uc 3.1 First let us consider the input to be the voltage on the power supply Uin(t) and the output to be the voltage on the capacitor Uc(t). Derive the differential...
signal and system 8) By using Laplace transform determine the transfer function and the impulse response of the system with equation below. y) is the output and u) is the input to the system + 6 d...
signal and system
8) By using Laplace transform determine the transfer function and the impulse response of the system with equation below. y) is the output and u) is the input to the system + 6 dt2
8) By using Laplace transform determine the transfer function and the impulse response of the system with equation below. y) is the output and u) is the input to the system + 6 dt2
Only need the last question 5 thanks! 3) RLC Parallel Circuits: Differential Equations and Laplace U2...
Only need the last question 5 thanks!
3) RLC Parallel Circuits: Differential Equations and Laplace U2 U1 TOPEN 0 TCLOSE 0 L1 R1 0.15H C1 2E-8F 11 10E-3 2 10E-3 At t 0, U1 closes and U2 opens. 3.1: What is the intial (t-0+) current through the capacitor? What is the initial (t=0+) voltage across the capacitor? 3.2: What is the DC steady state current though the capacitor ast goes to infinity? 3.3: Find the current through the CAPACITOR as...
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...
Help me do this problem step by step LSM1 Problem (50 pts) Consider a causal continuous-time...
Help me do this problem step by step
LSM1 Problem (50 pts) Consider a causal continuous-time LTI system with input-output relationship dt+)t). (a) Find the transfer function H(s) of the system and specify its ROC. (b) Find the impulse response h(t) of the system. (12 pts) (12 pts) (c) Using the convolution property of the Laplace transform, find the output y(t) of the system in response to the input (t)ut) e2-u(t 1 (26 pts)
3) RLC Parallel Circu its: Differential Equations and Laplace U2 U1 TOPEN 0 TCLOSE 0 CL1 R1 0.15H C1 2E-8F 1 10E-3 2 J...
3) RLC Parallel Circu its: Differential Equations and Laplace U2 U1 TOPEN 0 TCLOSE 0 CL1 R1 0.15H C1 2E-8F 1 10E-3 2 J 10E-3 Att-0, U1 closes and U2 opens. 3.1: What is the intial (t-0+) current through the capacitor? What is the inital (t-0+) voltage across the capacitor? 3.2: What is the DC steady state current though the capacitor as t goes to infinity? 3.3: Find the current through the CAPACITOR as a function of time for R...
please help. Note: u(t) is unit-step function Consider the system with the differential equation: dyt) +...
please help.
Note: u(t) is unit-step function Consider the system with the differential equation: dyt) + 2 dy(t) + 2y(t) = dr(t) – r(e) dt2 dt where r(t) is input and y(t) is output. 1. Find the transfer function of the system. Note that transfer function is Laplace transform ratio of input and output under the assumption that all initial conditions are zero. 2. Find the impulse response of the system. 3. Find the unit step response of the system...
need asap 1, (20 points) Suppose we have a İTİ system with impulse response(h(t) described as...
need asap
1, (20 points) Suppose we have a İTİ system with impulse response(h(t) described as following h(t) 6u(t) where u(t) is unit step function. The output(Y (s)) is expressed as the product of input (R(s)) and transfer function Y(s) = R(s)H(s) The Laplace transform is defined as LTI system R(H) Y (s) Figure 1: LTI system in s-plane (a) (5 points) Find the tranisfer function(H(s)) of the LITI system. (b) (5 points) Find the Laplace transform of the input(r(t)....
P4- Fourier Transform (20 points) For a stable LTIC system with transfer function, h(t), Find the...
P4- Fourier Transform (20 points) For a stable LTIC system with transfer function, h(t), Find the zero-state response if the input x(t)=δ70(t)(The problem shuld be solved using Fourier Transform) h(t) 上一 -27- TO TOE
1 T I т I N F The transfer function of a linear differential equation is...
1 T I т I N F The transfer function of a linear differential equation is defined by the Laplace transform of output (response function) over the Laplace transform of input (driving force) The block diagram of a system is not unique. F In the system with the first order differential equation, the steady-state error due to unite step function is not zero. F In a system with a sinusoidal input, the response at the steady state is sinusoidal at...
(25 pts) In this problem we will review the modeling procedure for the RLC circuit as shown below. Note that in this problem you need to show detailed derivation, and you will be deducted points if some important steps or interpretations are missing in your answer. UR UL Uin Uc 3.1 First let us consider the input to be the voltage on the power supply Uin(t) and the output to be the voltage on the capacitor Uc(t). Derive the differential...
signal and system
8) By using Laplace transform determine the transfer function and the impulse response of the system with equation below. y) is the output and u) is the input to the system + 6 dt2
8) By using Laplace transform determine the transfer function and the impulse response of the system with equation below. y) is the output and u) is the input to the system + 6 dt2
Only need the last question 5 thanks!
3) RLC Parallel Circuits: Differential Equations and Laplace U2 U1 TOPEN 0 TCLOSE 0 L1 R1 0.15H C1 2E-8F 11 10E-3 2 10E-3 At t 0, U1 closes and U2 opens. 3.1: What is the intial (t-0+) current through the capacitor? What is the initial (t=0+) voltage across the capacitor? 3.2: What is the DC steady state current though the capacitor ast goes to infinity? 3.3: Find the current through the CAPACITOR as...
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...
Help me do this problem step by step
LSM1 Problem (50 pts) Consider a causal continuous-time LTI system with input-output relationship dt+)t). (a) Find the transfer function H(s) of the system and specify its ROC. (b) Find the impulse response h(t) of the system. (12 pts) (12 pts) (c) Using the convolution property of the Laplace transform, find the output y(t) of the system in response to the input (t)ut) e2-u(t 1 (26 pts)
3) RLC Parallel Circu its: Differential Equations and Laplace U2 U1 TOPEN 0 TCLOSE 0 CL1 R1 0.15H C1 2E-8F 1 10E-3 2 J 10E-3 Att-0, U1 closes and U2 opens. 3.1: What is the intial (t-0+) current through the capacitor? What is the inital (t-0+) voltage across the capacitor? 3.2: What is the DC steady state current though the capacitor as t goes to infinity? 3.3: Find the current through the CAPACITOR as a function of time for R...
please help.
Note: u(t) is unit-step function Consider the system with the differential equation: dyt) + 2 dy(t) + 2y(t) = dr(t) – r(e) dt2 dt where r(t) is input and y(t) is output. 1. Find the transfer function of the system. Note that transfer function is Laplace transform ratio of input and output under the assumption that all initial conditions are zero. 2. Find the impulse response of the system. 3. Find the unit step response of the system...
need asap
1, (20 points) Suppose we have a İTİ system with impulse response(h(t) described as following h(t) 6u(t) where u(t) is unit step function. The output(Y (s)) is expressed as the product of input (R(s)) and transfer function Y(s) = R(s)H(s) The Laplace transform is defined as LTI system R(H) Y (s) Figure 1: LTI system in s-plane (a) (5 points) Find the tranisfer function(H(s)) of the LITI system. (b) (5 points) Find the Laplace transform of the input(r(t)....
P4- Fourier Transform (20 points) For a stable LTIC system with transfer function, h(t), Find the zero-state response if the input x(t)=δ70(t)(The problem shuld be solved using Fourier Transform) h(t) 上一 -27- TO TOE
1 T I т I N F The transfer function of a linear differential equation is defined by the Laplace transform of output (response function) over the Laplace transform of input (driving force) The block diagram of a system is not unique. F In the system with the first order differential equation, the steady-state error due to unite step function is not zero. F In a system with a sinusoidal input, the response at the steady state is sinusoidal at...
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