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Q3. Use the multiple system reduction methods: a) Find the final transfer function of the following...
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...
UestionI. A system is represented by the following transfer function G(s)- (s+1)/(s2+5s+6) 1) Fin...
uestionI. A system is represented by the following transfer function G(s)- (s+1)/(s2+5s+6) 1) Find a state equation and state transition matrices (A,B, C and D) of the system for a step input 6u(t). ii) Find the state transition matrix eAt) ii) Find the output response of system y(t) to a step input 6u(t) using state transition matrix, iv) Obtain the output response y(t) of the system with two other methods for step input óu(t). Question IV. A system is described...
2) For a system with the transfer function H(s) =- (st100) c) find the unit impulse...
2) For a system with the transfer function H(s) =- (st100) c) find the unit impulse response of the system. d) if the input of the system is 3e u(t), what is the output of the system in the frequency domain if all initial conditions are zero. e) if the input of the system is 3e" 100u(t), what is the output of the system in the time domain if all initial conditions are zero. f) what is the frequency of...
1. Find the magnitude and phase of the following complexumbers: 2. A system with the transfer...
1. Find the magnitude and phase of the following complexumbers: 2. A system with the transfer fimction is subject to a simsodal input w(1)-10sin(1.51). Find the response () at steady state. dal impul with amplitude 3. A system with transfer functie _ S e tto 100 of one that is, f(t) sinar. Find the amplitude of the response w (a) the input frequency is very small (b) the input frequency co is very large at steady state when is subject...
4.8.2 For an LTIC system described by the transfer function H(s) = + 2) find the...
4.8.2 For an LTIC system described by the transfer function H(s) = + 2) find the steady-state system response to a. 10u(t) b. cos (2+ + 60°) (1) c. sin (3 - 45")u(t) d. e3 u(t)
1. Consider the system shown. Assume B-3 N-s/m and K-7 N/m. Negligible Mass a) Find the...
1. Consider the system shown. Assume B-3 N-s/m and K-7 N/m. Negligible Mass a) Find the transfer function, H(s)-X(s)Fa(s) b) Using the transfer function, find the unit step response and the unit impulse response. c) Using the transfer function, find the steady-state response when fa(t) 2 sin (4t) d) Find the free response (zero-input response) assuming x(0) 2 m.
1. Consider the circuit shown below. Cl e, (0) c, e。(t) Find the transfer function below using t...
Please help with this dynamics circuit
analysis.
Please show work and explain.
Thank you!!
1. Consider the circuit shown below. Cl e, (0) c, e。(t) Find the transfer function below using time-domain and impedance methods. (a) Determine the differential equation for the relationship between eo(1) and e(1) (b) Find the transfer function E, (s)/E,(s) and determine the system time constant in terms of the circuit element values C, C, and R 17 2 (c) Find the transfer function E, (s)/E,...
(3) For the system modeled by with output defined as a) Find the system's transfer function(s)...
(3) For the system modeled by with output defined as a) Find the system's transfer function(s) E(t) +3z(t) +2x(t)-Sult) b) Find the system's pole(s) (if any) and zero(s) (if any) c) Find n(t →x) if u(t)-G 120) 0 t<0 e) Find the frequency response function corresponding to output y 1) Find steady-state ya(t) if u(t) 3sin(21)
8(s +5) C(s) R(s) +10s2 +16s+40 3. (25 points) The transfer function of a system is...
8(s +5) C(s) R(s) +10s2 +16s+40 3. (25 points) The transfer function of a system is obtained as The input to the system is given as r()0.01 sin(5t) (m), obtain the steady-state motion of the system cfi->o). (b) Obtain the steady-state response of the system when a unity step input is applied to the system.
(please explain your answers). for the following transfer function, a) determine if the associated system is...
(please explain your answers). for the following transfer
function,
a) determine if the associated system is BIBO stable
b) if BIBO stable systems in question a). For these systems,
determine the steady state output Yss(t) given
- an input u(t) = 2step(t) → Yss(t) = lim t→+∞ (y(t)) = constant
value
-an input u(t) = 3 sin(t) → Yss(t) = sin function
c) if non BIBO stable systems in question a). For these systems,
find a bounded input that makes...
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...
uestionI. A system is represented by the following transfer function G(s)- (s+1)/(s2+5s+6) 1) Find a state equation and state transition matrices (A,B, C and D) of the system for a step input 6u(t). ii) Find the state transition matrix eAt) ii) Find the output response of system y(t) to a step input 6u(t) using state transition matrix, iv) Obtain the output response y(t) of the system with two other methods for step input óu(t). Question IV. A system is described...
2) For a system with the transfer function H(s) =- (st100) c) find the unit impulse response of the system. d) if the input of the system is 3e u(t), what is the output of the system in the frequency domain if all initial conditions are zero. e) if the input of the system is 3e" 100u(t), what is the output of the system in the time domain if all initial conditions are zero. f) what is the frequency of...
1. Find the magnitude and phase of the following complexumbers: 2. A system with the transfer fimction is subject to a simsodal input w(1)-10sin(1.51). Find the response () at steady state. dal impul with amplitude 3. A system with transfer functie _ S e tto 100 of one that is, f(t) sinar. Find the amplitude of the response w (a) the input frequency is very small (b) the input frequency co is very large at steady state when is subject...
4.8.2 For an LTIC system described by the transfer function H(s) = + 2) find the steady-state system response to a. 10u(t) b. cos (2+ + 60°) (1) c. sin (3 - 45")u(t) d. e3 u(t)
1. Consider the system shown. Assume B-3 N-s/m and K-7 N/m. Negligible Mass a) Find the transfer function, H(s)-X(s)Fa(s) b) Using the transfer function, find the unit step response and the unit impulse response. c) Using the transfer function, find the steady-state response when fa(t) 2 sin (4t) d) Find the free response (zero-input response) assuming x(0) 2 m.
Please help with this dynamics circuit
analysis.
Please show work and explain.
Thank you!!
1. Consider the circuit shown below. Cl e, (0) c, e。(t) Find the transfer function below using time-domain and impedance methods. (a) Determine the differential equation for the relationship between eo(1) and e(1) (b) Find the transfer function E, (s)/E,(s) and determine the system time constant in terms of the circuit element values C, C, and R 17 2 (c) Find the transfer function E, (s)/E,...
(3) For the system modeled by with output defined as a) Find the system's transfer function(s) E(t) +3z(t) +2x(t)-Sult) b) Find the system's pole(s) (if any) and zero(s) (if any) c) Find n(t →x) if u(t)-G 120) 0 t<0 e) Find the frequency response function corresponding to output y 1) Find steady-state ya(t) if u(t) 3sin(21)
8(s +5) C(s) R(s) +10s2 +16s+40 3. (25 points) The transfer function of a system is obtained as The input to the system is given as r()0.01 sin(5t) (m), obtain the steady-state motion of the system cfi->o). (b) Obtain the steady-state response of the system when a unity step input is applied to the system.
(please explain your answers). for the following transfer
function,
a) determine if the associated system is BIBO stable
b) if BIBO stable systems in question a). For these systems,
determine the steady state output Yss(t) given
- an input u(t) = 2step(t) → Yss(t) = lim t→+∞ (y(t)) = constant
value
-an input u(t) = 3 sin(t) → Yss(t) = sin function
c) if non BIBO stable systems in question a). For these systems,
find a bounded input that makes...
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