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13-2 The equation for the fist cycle (0s rs T,) of a...
Please show all work and demonstrate how to find the expressions for the voltage v(t) 40...
Please show all work and demonstrate how to find the
expressions for the voltage
v(t) 40 V 60 ms 140 ms 200 ms 240 uF Given: The figure above shows a 240 uF capacitor with a time-varying voltage across it. The graph above the figure shows the waveform of that voltage. Required: Determine the capacitor current at ta = 30 ms, at tp = 100 ms and at te = 170 ms.
Please show all steps and show neat work. thanks 4) For the periodic signal below, find...
Please show all steps and show neat work.
thanks
4) For the periodic signal below, find the compact trigonometric Fourier series and sketch the amplitude and phase spec ra. If either sine or cosine terms are absent in the Fourier series, explain why -T π /4
1. A LTI system has the frequency response function 0, all other o Compute the output y(t) resulting from the in put x(t) given by (a) x(t) -2-5cos(3t)+10sin(6t-jx/3)+4cos(12t-x/4) (b) x(t) = 1 + Σ-...
1. A LTI system has the frequency response function 0, all other o Compute the output y(t) resulting from the in put x(t) given by (a) x(t) -2-5cos(3t)+10sin(6t-jx/3)+4cos(12t-x/4) (b) x(t) = 1 + Σ- cos(2kt ) k-l (c) x(t) is the periodic pulse train signal shown below (repeats beyond the graph) 0.5 0.5 5 t (second) Hint: Refer to lecture 10 note. For (c), find the Fourier series coefficients of x(t) first.
1. A LTI system has the frequency response...
Pleaase answer all parts with neat and precise work. show all steps. Please 24. The following...
Pleaase answer all parts with neat and precise work. show all
steps. Please
24. The following Fourier pair for the Lorentzian/Cauchy pulse was discussed in class: f(t)-_a (21) where a > 0 is a measure of the width of the time signal. The domains of f (t) and F(w) are -oo < t < oo and-oo <ω<00, respectively. (a) Showing all work, determine the time signal g (t) that has the following Fourier transform, where to is a given constant:...
Please show all work and graph #13 Define an equation of path, position of particle M...
Please show all work and graph #13
Define an equation of path, position of particle M on path at t = ti (sec), velocity, normal, tangent and full accelerations of the particle M, radius of curvature at t = tį. The defined parameters show on the graph. ti, sec Equations of motion of particle M r=x(t), cm y=y(t), cm - 21² + 3 -5t 4t +4 t +1 2 sin cos 1 t + 4 - 3 -4t 313 +...
1. Using the Fourier series analysis Equation 3 for the periodic function r(t) shown in Figure 2....
1. Using the Fourier series analysis Equation 3 for the periodic function r(t) shown in Figure 2.1, determine both the DC coefficient ao and a general expression for the other Fourier series coefficients ak. Do this by hand, not in Matlab. Show all your work in your lab report. You can add these pages as hand-written pages, rather than typing them in to your lab report, if you prefer Hint 1: It will be easiest to integrate this function from...
Problem 2 Periodic Force First Cycle The graph at the right depicts the first period of a non-harmonic periodic force (measured in Newtons). This first cycle is described by the piecewise functio...
Problem 2 Periodic Force First Cycle The graph at the right depicts the first period of a non-harmonic periodic force (measured in Newtons). This first cycle is described by the piecewise function F(t) below the graph. Per the definition of a periodic function, the function repeats every T seconds. Note that T = 1 s. 1.8 a. What is the angular frequency wT of the periodic function?2 Include units. b. What is the Fourier Series representation of this function? c....
Please show work Consider the following linear transformation T: RS → R3 where T(X1, X2, X3,...
Please show work
Consider the following linear transformation T: RS → R3 where T(X1, X2, X3, X4, Xs) = (x1-X3+X4, 2x1+x2-X3+2x4, -2x1+3x3-3x4+xs) (a) Determine the standard matrix representation A of T(x). (b) Find a basis for the kernel of T(x). (c) Find a basis for the range of T(x). (d) Is T(x) one-to-one? Is T(x) onto? Explain. (e) Is T(x) invertible? Explain
please answer all questions and show all steps Vout Figure 2: RC Circuit 2. (15pts) Derive...
please answer all questions and show all steps
Vout Figure 2: RC Circuit 2. (15pts) Derive the equation for the frequency response H(ju) of the RC circuit in Figure 2. Take the inverse transform of H (ju) to compute the impulse response h(t). Compute the magnitude response, H(jw). Is this a low-pass or high pass filter? Explain your answer. 3. (10pts) Let h(t)2u(t) and (t)(t). Use the Fourier transform to compute the output of the system
This is a question about Partial differential equation - Heat equation. Please help solving part (a)...
This is a question about
Partial differential equation - Heat equation. Please help solving
part (a) and show clear explanations. Thanks!
=K х 7. The temperature T(2,t) in an insulated rod of length L and diffusivity k is given by the heat equation ОТ 22T 0 < x < L. at Əx2' Initially this rod is at constant temperature To, and immediately after t=0 the temperature at x = L is suddenly increased to T1. The temperature at x =...
Please show all work and demonstrate how to find the
expressions for the voltage
v(t) 40 V 60 ms 140 ms 200 ms 240 uF Given: The figure above shows a 240 uF capacitor with a time-varying voltage across it. The graph above the figure shows the waveform of that voltage. Required: Determine the capacitor current at ta = 30 ms, at tp = 100 ms and at te = 170 ms.
Please show all steps and show neat work.
thanks
4) For the periodic signal below, find the compact trigonometric Fourier series and sketch the amplitude and phase spec ra. If either sine or cosine terms are absent in the Fourier series, explain why -T π /4
1. A LTI system has the frequency response function 0, all other o Compute the output y(t) resulting from the in put x(t) given by (a) x(t) -2-5cos(3t)+10sin(6t-jx/3)+4cos(12t-x/4) (b) x(t) = 1 + Σ- cos(2kt ) k-l (c) x(t) is the periodic pulse train signal shown below (repeats beyond the graph) 0.5 0.5 5 t (second) Hint: Refer to lecture 10 note. For (c), find the Fourier series coefficients of x(t) first.
1. A LTI system has the frequency response...
Pleaase answer all parts with neat and precise work. show all
steps. Please
24. The following Fourier pair for the Lorentzian/Cauchy pulse was discussed in class: f(t)-_a (21) where a > 0 is a measure of the width of the time signal. The domains of f (t) and F(w) are -oo < t < oo and-oo <ω<00, respectively. (a) Showing all work, determine the time signal g (t) that has the following Fourier transform, where to is a given constant:...
Please show all work and graph #13
Define an equation of path, position of particle M on path at t = ti (sec), velocity, normal, tangent and full accelerations of the particle M, radius of curvature at t = tį. The defined parameters show on the graph. ti, sec Equations of motion of particle M r=x(t), cm y=y(t), cm - 21² + 3 -5t 4t +4 t +1 2 sin cos 1 t + 4 - 3 -4t 313 +...
1. Using the Fourier series analysis Equation 3 for the periodic function r(t) shown in Figure 2.1, determine both the DC coefficient ao and a general expression for the other Fourier series coefficients ak. Do this by hand, not in Matlab. Show all your work in your lab report. You can add these pages as hand-written pages, rather than typing them in to your lab report, if you prefer Hint 1: It will be easiest to integrate this function from...
Problem 2 Periodic Force First Cycle The graph at the right depicts the first period of a non-harmonic periodic force (measured in Newtons). This first cycle is described by the piecewise function F(t) below the graph. Per the definition of a periodic function, the function repeats every T seconds. Note that T = 1 s. 1.8 a. What is the angular frequency wT of the periodic function?2 Include units. b. What is the Fourier Series representation of this function? c....
Please show work
Consider the following linear transformation T: RS → R3 where T(X1, X2, X3, X4, Xs) = (x1-X3+X4, 2x1+x2-X3+2x4, -2x1+3x3-3x4+xs) (a) Determine the standard matrix representation A of T(x). (b) Find a basis for the kernel of T(x). (c) Find a basis for the range of T(x). (d) Is T(x) one-to-one? Is T(x) onto? Explain. (e) Is T(x) invertible? Explain
please answer all questions and show all steps
Vout Figure 2: RC Circuit 2. (15pts) Derive the equation for the frequency response H(ju) of the RC circuit in Figure 2. Take the inverse transform of H (ju) to compute the impulse response h(t). Compute the magnitude response, H(jw). Is this a low-pass or high pass filter? Explain your answer. 3. (10pts) Let h(t)2u(t) and (t)(t). Use the Fourier transform to compute the output of the system
This is a question about
Partial differential equation - Heat equation. Please help solving
part (a) and show clear explanations. Thanks!
=K х 7. The temperature T(2,t) in an insulated rod of length L and diffusivity k is given by the heat equation ОТ 22T 0 < x < L. at Əx2' Initially this rod is at constant temperature To, and immediately after t=0 the temperature at x = L is suddenly increased to T1. The temperature at x =...
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