2) We have 3 signals x(t),y(t) and m(t), name them and identify the relationship could relate them name x(t) = {1 y(t) = x(t) -{1 0 relationship {1 m(t) = 0, 1 = 0; m(t) dr = 1. met di 120 1 <0 120 1 <0 120 1 <0 | { 1 y(t): 120 1 <0 m(t) = 0, 1 = 0; | 7 m(t) dr = 1.

Q: Find i(t) for t>0. t= 0 20 2 10 2 :4mF 30 V 40 Ω 2.5 H ww

A:

Q: Use source transformation to find vo(t), t> 0, in the circuit shown below. 2H 2u(1) V 202 2u(1) A 1F…

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Q: #6) FIND i(t),t >0 2 k 6 k i(t) 4k ZV 100 F

A:

Q: x(t) = u(t)–u(t-2) - Plot this function x[n]= A[n] – A[n– 1] +3A[n-2] + 2A[n-4]

A: A signal is a mathematical function which convey the information about some particular phenomena. A…

Q: EX) is I f(t) = 2rect (£) find ~= f(t) graphically

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Q: ! Required information Consider the CTET pair. F u (t + 5) – u (t – 7) → A sinc (bf) eicf The…

A: In this question,  Find the Fourier transform of the given signal f(t)=u(t+5) -u(t-7)   ?  Find the…

Q: Find the numerical expression for i,(t), and vo(t) when t≥ 0. t-0 C=200 μF 6mA 4K 20 4K www 18V

A: The circuit diagram,

Q: 2. Consider the CLTI system given below: [-1.5 1 1] [0.5 0.5] x'(t) = 0 -0.5 0 x(t) + 0 0.5 u(t),…

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Q: Suppose the system x'= Ax has the solution; Find x1 (t), x2 (t) and x3 (t). Please clearly ans.

A: To find x values

Q: 3. Evaluate and sketch the even and odd components of the following x(t)=t²+3sin(4t);

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Q: name +) = { 1 x(t)= Ï y(t) = relationship 1 m(t) dr = 1. di X(t) = { 1 m(t) = 0, 1 = 0; 8 M(t), name…

A: We need to tell about name and relationship of given signal .

Q: d² dt? 2 dt 1 dx *= 10+15 e-4 +2e-5t 18 The excitation of system is given by above equation find…

A: Transfer function is ratio of output signal to input signal. It is the given as ratio of Laplace…

Q: : Verify the initial value theorem for the following functions: x(t) = 4 – 2e³t %3D

A: then find the X(0)

Q: 1. Define x1(t) = sinc² (t) and x2(t) = cos(t)x1(t). Find a value W such that for all > W.…

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Q: A signal is said to be causal, if it is defined for t>=0

A: Solution: The given question is about true or false If a system follows the below condition then it…

Q: 6) Find i(t), t>0 t = 0 R1 v(t) i(t) 6 kN R2 12 V(+ 2 Vs C 100 pF 3 kN

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Q: 4. Plot the following functions: a) g(t) = -4 ramp(t)u(t – 2) b) g[n] = ramp[n + 2] – 2 ramp[n] +…

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Q: X R For the RL circuit, find the mathematical model (input-output relationship) if the output is the…

A: In this question,  We need to determine the differential equation of the given system.

Q: V FIND i(t),t>0 2 k ww 6k i(t) M 100 F 4 k 6ov

A:

Q: Find i(t), t>0 t = 0 R1 v(t) i(t) 6 kN 2 12 Vt)Vs C100 µF R2 3 kN

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Q: If y(t) is the solution of y" + 2y + y = 8(t-3), find y(4). y(0) = 0, y' (0) = 0,

A: Given, y''+2y'+y=δ(t-3),y(0)=y'(0)=0 It is asked to find y(4).

Q: a) the system For x (t) |(04 K y(i) find y (t) forn x(t) = etu(-t) and h(t) = 2u(t) -u(6-1) -u (t~)…

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Q: Ques. 7: Simplify the following: (a) [e-cos(3t – 60°)]8(t) (b) L 8(t + 3)e-t

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Q: Q1: Fine the liner convolution y[t] if: x[t] = 2 1<t<4 otherwise h[t] = 2* u(t-3)

A: By using the basics property of convolution we can answer it easily.

Q: 2. Consider the CLTI system given below: [-1.5 1 1] [0.5 0.5] x'(t) = 0 -0.5 0 x(t) +| 0 0.5 u(t),…

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Q: c) Use a pair ( table) to findz -transform of x(n) = 20.5 v2 cos((-)n - 1.415)u(n) %3D

A: According to question:

Q: Consider the function given below. Determine whether the given function is causal and BIBO-stable.…

A: The given function  X(t) =4rect(t/2) is rectangular signal, width of the signal is 4. Causal :-…

Q: Required information Consider the CTFT pair. u (t – 10) – u (t + 10) → A sinc (b@) The numerical…

A: We know Fourier transform pair for reactangular pulse , so by comparing we will find out unknown…

Q: Given f(t) as shown in Figure lc, plot y (t) = f(- t+ 2) . f(t) - 2 Figure le

A: The figure for f(t) is given in the question. The f(t) with a delay of 2  that is f(t+2)is drawn…

Q: Determine whether the following signals are energy signals, power signals, or neither. (a) x(t) =…

A: In this question we need to find a given signal is energy signal or power signal.

Q: Find i(t) for t>0. t 0 20 Ω 10 2 i(t) 4mF 30 V 40 2 2.5 H

A:

Q: x(1) = u(t) – u(t – T) h(t) = e"u(t1) y(1) = x(1)*h(t) =? x(1) 1 T

A: In this question , we will find output with convolution property..

Fourier Series

Most of the incidents studied in the field of Engineering and Science as a function of time. For example, current and voltage are in the alternating current circuit. These occasional activities can be analyzed in the activity components (fundamental frequency and harmonics) through a process called Fourier analysis.