Q2. Employ Laplace transform to determine the transfer function of the following circuit h(t)=vo(t)/io(t) 12 2s...
1. Determine the Laplace transform of the following signals e* .11(t) ; (b) g(t)=Icos(2) + sin(2t)j.u(1-3) ; (c) h(t)-t-e-21. cos(30.11(1) 2. Determine the Laplace transform of the non-periodic signal shown below: h(t) 0 1 2 3 4 t 3. Determine the Laplace transform of the periodic waveforms shown below: fa) f(t) 0 2T 4T 6T 8T 4. Determine the inverse Laplace transform of the following signals 2s (b) G)6s+12 H(s) =s.(14%) (a) F(s)-De (c) (2s +1)(s1 +5s +6 5. Using...
VO D IO 2. In the above circuit, the initial conditions are A. Determine the transfer function, H(s) VI(S) k, b and c are constants. B. Determine the type of filter impleme C. Determine the values for R.C, R, and R. that Cons are all zero and the op-amp is ideal. (1.6 pts) in the form of H(s) = k zubte, where W, = 25000 rad/s, a bandwidth of R - 50000 requirement that ALL resistors must have a res...
1. If i() shown below is applied to the circuit below, determine io (0). i(t) 140 io(t) i(t) 0.5F 2. Use Fourier transform technique to find vo (O) in the circuit below. Let v, (1) = 4e-21 V. 2 H vi(t) Vo (t) 0
Find Vo(t) by finding Vo(s) and taking the LaPlace Transform of this simple circuit. Show work. Aelement values are in the image. Vo 4u(t)
Determine the inverse Laplace transform of the function below. Se - 2s S2 + 8s +32 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. - 2s Se - 1 >(t) = $2 +85 +32 (Use parentheses to clearly denote the argument of each function.)
USE DEFINITION 1 TO DETERMINE THE LAPLACE TRANSFORM OF THE FOLLOWING FUNCTION. f(t)= e sin(t) Laplace Transform Definition 1. Let f(t)be a function on [0,00). The Laplace transform of f is the function defined by the integral The domain of F(s) is all the values of " for which the integral in (1) exists.' The Laplace transform of fis denoted by both and ${/}. QUESTION 2. (3PTS) USE TABLE 7.1 AND 7.2 TO DETERMINE THE LAPLACE TRANSFORM OF THE GIVEN...
The transfer function of a system is Use Inverse Laplace Transform to determine y(t) when r(t) =b u(t). “b” is a constant. Y(s) R(S) 10s + 2) 52 +8s + 15
For the circuit shown in Figure 1, determine (a) The transfer function H(s) Vo(s)/V(s) 1 (b). The impulse response h(t) given that R,-5Q, R2-2Q, L,-1 mH, and L2 = 2 mH Ri L R2 Figure 1.
Determine the inverse Laplace transform of the function below. (s-1)/(2s^2+s+10)
4- (10 points) In the following circuit, use Laplace Transform to find Vo(s). Consider the following initial conditions in the inductor and capacitor: V.(0) - IV, 10) - 1A Follow the following steps in your solution. a) Draw the equivalent circuit in the Laplace Domain taking into account the initial conditions, and using the parallel model (see below) b) Use CDR or VDR to find Vo(s). c) Leave your answer in the Laplace Domain simplifying Vo(s) as a ratio of...