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1) Derive the 2d order differential equation for the circuit and solve the equation for a...
A second-order RLC circuit is shown in Fig. 1 0.05F 3Ω 2Ω 6A 6A 5H Fig.1 A second-order RLC cir...
A second-order RLC circuit is shown in Fig. 1 0.05F 3Ω 2Ω 6A 6A 5H Fig.1 A second-order RLC circuit with a switch (1) Analytical part: derive the differential equations and solve them to find the response i(t for t>0. Specify whether it is an underdamped, critically damped or overdamped case.
A second-order RLC circuit is shown in Fig. 1
0.05F 3Ω 2Ω 6A 6A 5H Fig.1 A second-order RLC circuit with a switch (1) Analytical part: derive the differential...
A certain physical system is described by the 2nd-order ordinary differential equation +6-0. dt (a) Determine...
A certain physical system is described by the 2nd-order ordinary differential equation +6-0. dt (a) Determine the natural frequency, a, of the system (b) Determine the damping ratio, , of the system. (c) Classify the system as undamped, underdamped, critically damped or overdamped.
[1] 25 pts. A damped single degree of freedom system without applied forces is oscillating due to...
solve for #2
[1] 25 pts. A damped single degree of freedom system without applied forces is oscillating due to a certain unknown initial conditions. Derive a response equation x(t) for the following four cases. a. 5 pts. 0 (no damping) b. 10 pts. 0<1 (underdamped) c. 5 pts. >1 (overdamped) d. 5 pts. ๕-1 (critically damped) Here the is the damping ratio of the oscillating system. [2] 5 pts. For the same system of underdamped case with initial conditions...
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.
Figure 1 shows a circuit after some switch-flipping and is now at time t = 0....
Figure 1 shows a circuit after some switch-flipping and is now at time t = 0. It contains a capacitor that was charged to v.(0") = 75 V and an inductor that was charged to i (0°) = 3 A. 10) Is this circuit overdamped, underdamped, or critically damped [2 points A) Is this circuit displaying a natural or step response? (2 points) Solve for y(t) fort > 0 [8 points) +35w 13.230.išao Ous. "
Sponse Question 8 800 22 640 mH =0 90 15 V TUF After the switch is...
Sponse Question 8 800 22 640 mH =0 90 15 V TUF After the switch is thrown at r=0, will the circuit behave in an overdamped, critically damped, or underdag Critically damped Underdamped. O Overdamped. Moving to another question will save this response. ere to search
HW3: Problem 2 Previous Problem Problem List Next Problem (1 point) For the differential equation...
HW3: Problem 2 Previous Problem Problem List Next Problem (1 point) For the differential equation find the values of b that make the general solution overdamped, underdamped, or critically damped. For each, give an interval or intervals for b for which the equation is as indicated. Thus if the the equation is overdamped for all b in the range -1< b < 1 and 3 S b < oo, enter (-1,11, 3,infinity); if it is overdamped only for b-3, enter...
Derive the ODE for the RLC circuit provided using Kirchoff's voltage and current laws. Indicate the...
Derive the ODE for the RLC circuit provided using Kirchoff's
voltage and current laws. Indicate the order of the equation and
what conditions are required for a unique and completely defined
solution to existing. You should solve for the voltage across the
capacitor as the output, y(t), due to the excitation of the input
voltage, x(t), and the initial conditions, y(0) = c0 and
y'(0)=c1.
Compute the homogeneous solution to the ordinary differential
equation for unknown values of R, L...
The circuit illustrated below is from a homework problem (P9.2-14) in which you were asked to...
The circuit illustrated below is from a homework problem (P9.2-14) in which you were asked to derive the differential equation describing how the output voltage vz(t) is related to the input voltage v.(t). The answer is given by: 25.0+(2.5, ., 1.0)+R,R.,6,6,"()=-R,R,C.C;": (1) (a) Leveraging this result, describe as concisely as possible the relationship among the components that produces (i) an overdamped response, (ii) a critically damped response, and (iii) an underdamped response. You must be concise to receive full credit....
Using Octave to solve (preferably with solving the differential equations and go through the process) 1. A harmonic osc...
Using Octave to solve (preferably with solving the differential
equations and go through the process)
1. A harmonic oscillator obeys the equation dx dt dt which can be written as a set of coupled first order differential equations dx dt dt One procedure in Octave for coding these equations involves a global statement and the line solutionRC Isode(@dampedOscillator, [1, 0], timesR); Employ the help system to determine the properties of the Isode() function (or an equivalent solver such as ode23()...
A second-order RLC circuit is shown in Fig. 1 0.05F 3Ω 2Ω 6A 6A 5H Fig.1 A second-order RLC circuit with a switch (1) Analytical part: derive the differential equations and solve them to find the response i(t for t>0. Specify whether it is an underdamped, critically damped or overdamped case.
A second-order RLC circuit is shown in Fig. 1
0.05F 3Ω 2Ω 6A 6A 5H Fig.1 A second-order RLC circuit with a switch (1) Analytical part: derive the differential...
A certain physical system is described by the 2nd-order ordinary differential equation +6-0. dt (a) Determine the natural frequency, a, of the system (b) Determine the damping ratio, , of the system. (c) Classify the system as undamped, underdamped, critically damped or overdamped.
solve for #2
[1] 25 pts. A damped single degree of freedom system without applied forces is oscillating due to a certain unknown initial conditions. Derive a response equation x(t) for the following four cases. a. 5 pts. 0 (no damping) b. 10 pts. 0<1 (underdamped) c. 5 pts. >1 (overdamped) d. 5 pts. ๕-1 (critically damped) Here the is the damping ratio of the oscillating system. [2] 5 pts. For the same system of underdamped case with initial conditions...
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.
Figure 1 shows a circuit after some switch-flipping and is now at time t = 0. It contains a capacitor that was charged to v.(0") = 75 V and an inductor that was charged to i (0°) = 3 A. 10) Is this circuit overdamped, underdamped, or critically damped [2 points A) Is this circuit displaying a natural or step response? (2 points) Solve for y(t) fort > 0 [8 points) +35w 13.230.išao Ous. "
Sponse Question 8 800 22 640 mH =0 90 15 V TUF After the switch is thrown at r=0, will the circuit behave in an overdamped, critically damped, or underdag Critically damped Underdamped. O Overdamped. Moving to another question will save this response. ere to search
HW3: Problem 2 Previous Problem Problem List Next Problem (1 point) For the differential equation find the values of b that make the general solution overdamped, underdamped, or critically damped. For each, give an interval or intervals for b for which the equation is as indicated. Thus if the the equation is overdamped for all b in the range -1< b < 1 and 3 S b < oo, enter (-1,11, 3,infinity); if it is overdamped only for b-3, enter...
Derive the ODE for the RLC circuit provided using Kirchoff's
voltage and current laws. Indicate the order of the equation and
what conditions are required for a unique and completely defined
solution to existing. You should solve for the voltage across the
capacitor as the output, y(t), due to the excitation of the input
voltage, x(t), and the initial conditions, y(0) = c0 and
y'(0)=c1.
Compute the homogeneous solution to the ordinary differential
equation for unknown values of R, L...
The circuit illustrated below is from a homework problem (P9.2-14) in which you were asked to derive the differential equation describing how the output voltage vz(t) is related to the input voltage v.(t). The answer is given by: 25.0+(2.5, ., 1.0)+R,R.,6,6,"()=-R,R,C.C;": (1) (a) Leveraging this result, describe as concisely as possible the relationship among the components that produces (i) an overdamped response, (ii) a critically damped response, and (iii) an underdamped response. You must be concise to receive full credit....
Using Octave to solve (preferably with solving the differential
equations and go through the process)
1. A harmonic oscillator obeys the equation dx dt dt which can be written as a set of coupled first order differential equations dx dt dt One procedure in Octave for coding these equations involves a global statement and the line solutionRC Isode(@dampedOscillator, [1, 0], timesR); Employ the help system to determine the properties of the Isode() function (or an equivalent solver such as ode23()...
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