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3. Given R(1) 1.5K 0 w TIL 100 mh 000 c) 0.01uf...
The answer key says Underdamped, but i do not understand why. Question 10 In the circuit below, the inductor current, iz(), for t2 0 is known to be, -10t 1012 ve(t)) Vc(t) Find the response curve tha...
The answer key says Underdamped, but i do not understand
why.
Question 10 In the circuit below, the inductor current, iz(), for t2 0 is known to be, -10t 1012 ve(t)) Vc(t) Find the response curve that best represents the inductor current above iL(t) iL(t) (2) Underdamped (1) Undamped it t) i(t) (4) Overdamped (3) Critically damped (5) None of the above
Question 10 In the circuit below, the inductor current, iz(), for t2 0 is known to be, -10t...
9. (12) Given the LRC circuit with L henries, R-10 ohms, C- farads and E(t) =...
9. (12) Given the LRC circuit with L henries, R-10 ohms, C- farads and E(t) = 50 cos t 30 volts, the charge q(t) satisfies the linear second order ordinary differential equation 2 dq1 dt2 (a) Find the charge q(t) if q(0) 100 coulombs and '(0)0 amperes. (b) Identify in q(t) the transient terms and, respectively, the steady state terms. Is the circuit overdamped, underdamped, or critically damped? E(t) Figure 1: Problem9.
please help me as soon as possible. thanks 100 mH + + 560 0 100 V...
please help me as soon as possible. thanks
100 mH + + 560 0 100 V 0.1 uF 4. (15 pts.) Using the RLC circuit shown above, and given that the capacitor has an initial voltage of 100 V, and the inductor has an initial current of 0 A: a. Find the neper and resonant radian frequencies of the circuit and state if it is underdamped, overdamped, or critically damped. Find an expression for the current response i(t). b.
1. For the circuit shown below, we wish to find v(t) for t>0. 1 1 a....
1. For the circuit shown below, we wish to find v(t) for t>0. 1 1 a. Find the governing equation for the voltage v using KCL at the top node using the following definitions: a = 0,W, = dr. This will get you a governing equation in the same form as that derived for the case we did in class where the R, L, and C were in series. b. What is the particular solution in this case? c. If...
Function Generatr Inductor Model Ra R, Figure 1 Series RLC Circuit Preliminary This laboratory wi...
Function Generatr Inductor Model Ra R, Figure 1 Series RLC Circuit Preliminary This laboratory will demonstrate how varying resistance changes the natural response of a series RLC circuit (Fig. 1). The function generator is modeled as an ideal voltage source v(t) 5 u() V in series with source resistance Rs-50Q. After measurements using an LCR meter, the inductor is modeled as an ideal L 90 mH inductor in series with resistance RL-20Q. The capacitance is C-0.22 μF. 1) Calculate the...
just do question 26 and 30 and show all your work (a) Select R so that 26. For the cincuit of Fig. 943,.40 30u-) m v...
just do question 26 and 30 and show all your work
(a) Select R so that 26. For the cincuit of Fig. 943,.40 30u-) m v(0+) 6 V. (b) Compute (2 ms). (c) Determine the settling time of the capacitor voltage. (d) Is the inductor current settling time the same as your answer to part (c)? 27. The current source in Fig. 9.43 is id) = 101(1-1) μ A. (a) Select Ri such that iLO")-2 μΑ. Compute L at t-500...
1. Given i(t) Cut) Figure 2.1: Step voltage applied to a series RLC circuit. (a) Verify...
1. Given i(t) Cut) Figure 2.1: Step voltage applied to a series RLC circuit. (a) Verify that the differential equation for v(t) is found as dt2 L dt LC LC (b) If v(0)-5 V and i(0)-OA. find the voltage response, u(t), for t >0 when v, 5V, R#330 n, L-100 mil, C., 0.1uF (c) Now suppose we replace the 5 V source in our circuit with a squarewave as shown below: w(t) Figure 2.2 From the response of v(t) that...
6.Assuming De) 0 in the plant given in Fig: 3 with Gs. design a PD controller that drives y(1) to asymptotically follow a unit-step input command i(t) with a percent overshoot equal to 10% and e setl...
6.Assuming De) 0 in the plant given in Fig: 3 with Gs. design a PD controller that drives y(1) to asymptotically follow a unit-step input command i(t) with a percent overshoot equal to 10% and e setling time equal to 0.5 se. Identify the pşak time and the damped frequency of the transient response () Carefully sketch the transient response. Assuming Ds)-, find a steady state error due to this disturbance s(s +5) (0 pts) DS) Ris) E(s) Y(s) g....
5. For each of the following, determine if the system is underdamped, undamped, critically damped or overdamped ad sket...
5. For each of the following, determine if the system is underdamped, undamped, critically damped or overdamped ad sketch the it step response (a) G (s) = (c) G(s)-t 2+68+ (d) G (s) = 36 6. The equation of motion of a rotational mechanical system is given by where θ° and θί are respectively, output and input angular displace- ments. Assuming that all initial conditions are zero, determine (a) the transfer function model. (b) the natural frequency, w natural frequency,...
5. For each of the following, determine if the system is underdamped, undamped, critically damped or...
5. For each of the following, determine if the system is underdamped, undamped, critically damped or overdamped ad sketch the it step response (a) G (s) = (c) G(s)-t 2+68+ (d) G (s) = 36 6. The equation of motion of a rotational mechanical system is given by where θ° and θί are respectively, output and input angular displace- ments. Assuming that all initial conditions are zero, determine (a) the transfer function model. (b) the natural frequency, w natural frequency,...
The answer key says Underdamped, but i do not understand
why.
Question 10 In the circuit below, the inductor current, iz(), for t2 0 is known to be, -10t 1012 ve(t)) Vc(t) Find the response curve that best represents the inductor current above iL(t) iL(t) (2) Underdamped (1) Undamped it t) i(t) (4) Overdamped (3) Critically damped (5) None of the above
Question 10 In the circuit below, the inductor current, iz(), for t2 0 is known to be, -10t...
9. (12) Given the LRC circuit with L henries, R-10 ohms, C- farads and E(t) = 50 cos t 30 volts, the charge q(t) satisfies the linear second order ordinary differential equation 2 dq1 dt2 (a) Find the charge q(t) if q(0) 100 coulombs and '(0)0 amperes. (b) Identify in q(t) the transient terms and, respectively, the steady state terms. Is the circuit overdamped, underdamped, or critically damped? E(t) Figure 1: Problem9.
please help me as soon as possible. thanks
100 mH + + 560 0 100 V 0.1 uF 4. (15 pts.) Using the RLC circuit shown above, and given that the capacitor has an initial voltage of 100 V, and the inductor has an initial current of 0 A: a. Find the neper and resonant radian frequencies of the circuit and state if it is underdamped, overdamped, or critically damped. Find an expression for the current response i(t). b.
1. For the circuit shown below, we wish to find v(t) for t>0. 1 1 a. Find the governing equation for the voltage v using KCL at the top node using the following definitions: a = 0,W, = dr. This will get you a governing equation in the same form as that derived for the case we did in class where the R, L, and C were in series. b. What is the particular solution in this case? c. If...
Function Generatr Inductor Model Ra R, Figure 1 Series RLC Circuit Preliminary This laboratory will demonstrate how varying resistance changes the natural response of a series RLC circuit (Fig. 1). The function generator is modeled as an ideal voltage source v(t) 5 u() V in series with source resistance Rs-50Q. After measurements using an LCR meter, the inductor is modeled as an ideal L 90 mH inductor in series with resistance RL-20Q. The capacitance is C-0.22 μF. 1) Calculate the...
just do question 26 and 30 and show all your work
(a) Select R so that 26. For the cincuit of Fig. 943,.40 30u-) m v(0+) 6 V. (b) Compute (2 ms). (c) Determine the settling time of the capacitor voltage. (d) Is the inductor current settling time the same as your answer to part (c)? 27. The current source in Fig. 9.43 is id) = 101(1-1) μ A. (a) Select Ri such that iLO")-2 μΑ. Compute L at t-500...
1. Given i(t) Cut) Figure 2.1: Step voltage applied to a series RLC circuit. (a) Verify that the differential equation for v(t) is found as dt2 L dt LC LC (b) If v(0)-5 V and i(0)-OA. find the voltage response, u(t), for t >0 when v, 5V, R#330 n, L-100 mil, C., 0.1uF (c) Now suppose we replace the 5 V source in our circuit with a squarewave as shown below: w(t) Figure 2.2 From the response of v(t) that...
6.Assuming De) 0 in the plant given in Fig: 3 with Gs. design a PD controller that drives y(1) to asymptotically follow a unit-step input command i(t) with a percent overshoot equal to 10% and e setling time equal to 0.5 se. Identify the pşak time and the damped frequency of the transient response () Carefully sketch the transient response. Assuming Ds)-, find a steady state error due to this disturbance s(s +5) (0 pts) DS) Ris) E(s) Y(s) g....
5. For each of the following, determine if the system is underdamped, undamped, critically damped or overdamped ad sketch the it step response (a) G (s) = (c) G(s)-t 2+68+ (d) G (s) = 36 6. The equation of motion of a rotational mechanical system is given by where θ° and θί are respectively, output and input angular displace- ments. Assuming that all initial conditions are zero, determine (a) the transfer function model. (b) the natural frequency, w natural frequency,...
5. For each of the following, determine if the system is underdamped, undamped, critically damped or overdamped ad sketch the it step response (a) G (s) = (c) G(s)-t 2+68+ (d) G (s) = 36 6. The equation of motion of a rotational mechanical system is given by where θ° and θί are respectively, output and input angular displace- ments. Assuming that all initial conditions are zero, determine (a) the transfer function model. (b) the natural frequency, w natural frequency,...
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