x(t) = 0.6cos(12t+40°)
Find the output of the system is y(t). (10 points)
H7(jω)=(5000jω)/((jω+10)(jω+500))
Use the transfer function in the problem below. The input to this system H7jω is: x(t)...
Use the transfer function below. The input to this system H7jω is: xt=0.6cos12t+40° Find the output of the system is yt. (10 points) H7jω=5000jωjω+10jω+500
A system with input r(t) and output y(t) has transfer function G(s) = 10 (s + 1)(s + 2). Find y(t) for t ≥ 0 if the following inputs are applied (with zero initial conditions): (a) r(t) = u(t) (b) r(t) = e^ −t*u(t)
For this problem we consider a radiant heat transfer system commonly found in space/room heaters. The input to the plant is (heat) energy q(Watts) and the output of the system is its temperature (K). The ODE that describes the system is given below Where, 8a is the ambient temperature (27°C), b-91.6 is an input constant, m 0.1 kg is the mass, C 420 J/Kg.K is the specific heat of the heater and a-AEo. A0.25 m2 is the surface area of...
3) Consider the system depicted below xz Input: F. Output: x Assume that all initial conditions are zero. a) Derive mathematical model of the system b Find unit step response c) Find the transfer function T(s) X2(s)/Fs) d) What is the final value of the output be. limx)-7) for F)- 4) Find the transfer function state space R(s) for each of the following sytems represented in a) 10 y-[1 0 0 b) 2 -3-8 3 -5 y-1 3 6 c)...
- A causal system has input x[n] and output y[n]. Use the transfer function to determine the impulse response of this system. (a) x[n] = [[n]+} \n - 1]- 38[n – 20, x[n] = [[n] - [n – 1] (b) x[n] = (-3)" u[n], y[n] = 4(2)"u[n] – (7)" u[n]
6 Given the input of system x(t) = 2elt and transfer function H(w) = what will be the magnitude y(t) ? 2 - jw 09 1 65 5 62 5
can someone do it inculidng the normal tree
Problem 4 (25 points). Use the linear graph below of thermal system to (a) derive the transfer function TR2 (s)/T,(s), where Ts is the input temperature and TR2 is the temperature across the thermal resistor R2. Use impedance methods. And (b) derive the input impedance the input Ts drives. Ts
Problem 4 (25 points). Use the linear graph below of thermal system to (a) derive the transfer function TR2 (s)/T,(s), where Ts...
Problem#3 (16 points) Consider a system that has R(S) as the input and Y (S) as the output. The transfer function is given by: Y(S) R(S) 45+12 What are the poles of the system? For r(t) output in the time-domain y(t) For r(t) = t, t output in the time-domain y(t) 1- 2- 1,t 0, use partial fraction expansion and inverse Laplace transform to find the 3- 0, use partial fraction expansion and inverse Laplace transform to find the
8) Find the output of an LTI system with the input x(t) with the sampling frequency of fn = 10 Hz, and the filter/transfer function (el) below. x(t) = 2 + cos (2007t + ) + 2sin(1007t) Hew) = 1 + 2e1W + cos(2w)
1. Find the following transfer function Io(t) and Is(t) are output and input respectively. transfer function H(s) n+ 1 (0.1*n+0.2) L + + vs ☺ 0.5 F n+ 2 s 1 a) Find Transfer function (assuming initial conditions are zero) H(s) = 1(s)/V; (s) b) Explain the system stability