Use the convolution integral to find the output current indicated in the circuit shown in Figure ...
1. Evaluate and sketch the convolution integral (the output y(t)) for a system with input x(t) and impulse response h(t), where x(t) = u(1-2) and h(t)= "u(t) u(t) is the unit step function. Please show clearly all the necessary steps of convolution. Determine the values of the output y(t) at 1 = 0,1 = 3,1 = 00. (3 pts)
Calculate the convolution integral of the following signals. Find the energy and power of the input and output signals. x(t) y(t) x(t) = cos(it)[u(t + 1) – uſt – 3)] h(t) = u(t + 2) – uſt – 1) del mes h(t) de ser LTI System
Solve using convolution integral
The signals h(t) and f(t) are as shown in Figure 12(a) and (b), respectively. Compute and sketch the graph of h(t) f(t). 1 h(t)--t+1 f(t)-u(t)-u(t-1) Figure 12(a) Figure 12(b)
Find the convolution integral of the following figure pairs: use
the graph method
y(t) X(t) 0 1 2 3 4
A.) Use the mesh-current method to find the branch current Ia in
the circuit shown in the figure when Io= 2.2 ∠0∘A, Vg1= 22 ∠0∘V,
and
Vg2= 11 ∠0∘V.(Figure 1)
B.) Use the mesh-current method to find the branch current Ib in
the circuit shown in the figure.
C.) Use the mesh-current method to find the branch current Ic in
the circuit shown in the figure.
D.) Use the mesh-current method to find the branch current Id in
the circuit...
Problem 4. Use the convolution integral to find the response y(t) of the LTI system with impulse response h(t) to input x(t) a) x(I)-2expl_2t)u(t) , h(1)-expl-t)u(t)
Use
DUHAMEL INTEGRAL / CONVOLUTION INTEGRAL to solve. DO NOT USE
FOURIER SERIES.
Problem 4- Consider a simple damped mass-spring system under a general forcing function p(t) such that: Find the solution x(t) for the periodic forcing function described below: p(t) = Fo [1-cos (? t/2to)1 for 0-t-to (0)-0 for to
USE LAPLACE TRANSFORM
Problem 3 Find v.lt) a) Using convolution integral b) Using transfer function c) when us = u(t) +
Find the output current i, in the circuit shown below using superposition, where vs = 28 cos(4t) V. Given: 161 is the value of phasor i, when only 20 V source is on and 1.2 is its value with vs(t) on only. Please report your answer so the magnitude is positive and all angles are in the range of negative 180 degrees to positive 180 degrees. 42 22 AN vs 0 14 20 V The value of 101 = The...
Please solve it in the simplest possible way
1. In the circuit shown in Figure 1, v.(t) = 10 cos(2t-30) V. Find (t). 22 1H vs 1F +v(1) Fig. 1 2. In the circuit shown in Figure 2, determine i(t). i(t) 20 2mH MM 100 5 cos 2000 V ) +50 uF 3200 Fig. 2 3. Find v (t) in the circuit of Figure 3 if the current i, = 2sin (100) A. 22 i 1.22 v S1222 + -j...