w=2 ve 0= 45 f(t) sin (2t + 45) %3.

Q: What will be the inverse laplace transform of Z(s)=45/s(s+4)2. RoC: Re(s)>0

A: There are various ways of performing inverse Laplace Transform. Partial Fraction Expansion (PFE) is…

Q: Q9. Find the Laplace transform of the following signal which is periodic with period 20. 2아 15 5 20…

A: let f(t) be a  periodic signal. Then  Let f1(t) is the single time period  The Laplace transform of…

Q: :Find the Laplace transform 1. f(t) =4e-10t 2. f(t) =6sin 12t - 3e' cos 12t + 10t* – 7

A:

Q: example 5.6 ***** =100 key • Find the input impedance in terms of Laplace variable s for the circuit…

A:

Q: Compute the Laplace transform of the given function. 1. e6t + 5+ e*t + 5t 2. cos(2t) + 7 sin(3t) 3.…

A: We are authorized to answer only 1 question at a time so i am answering only first 3 please repost…

Q: Find the Laplace Transform of the following periodic fumctions e27(1-5) – 1 3) f(t)= e', (0<t< 2x)…

A:

Q: Find the inverse Laplace transform of the following X(s): 2s +1 (a) X(s)= Re (s) > -2 s+2

A: Given: The given equation in s domain is: Xs=2s+1s+2,   Res&gt;-2

Q: Calculate the value of X (2), where the Laplace transform of the following x(t) is X(s). ¤(t) =…

A:

Q: 20 N t = 0' 60 V 31.25 µF vo350 mH R = 20 N, L= 50 mH, C = 31,25 µF

A: ELECTRICAL NETWORK: When addressing a circuit problem or constructing a balanced circuit, the word…

Q: نقطتان )2( Find Inverse Laplace transform of X(s)= (0.2s+2)/((s-1)(s+2)(s-3)) for * ROC: -2<R(s)<1 4…

A: In this question we need to find a Laplace transform of the given signal

Q: Choose the right answer. A: Laplace transforms changes the complex algebraic equations to simple…

A: Thia question is about the Laplace Transform. Laplace Transform is a mathematical tool used to solve…

Q: s+1 The Laplace transform of the voltage across a capacitor of 0.5 F is V (s) = +s²+s+1 The value of…

A: Given, Voltage across a capacitor, Vs=s+1s3+s2+s+1 Capacitance, C = 0.5 F

Q: b) Determine the Unilateral Laplace transform of the following causal function: t < 2, 2<t < 3, 3 <…

A:

Q: Determine the inverse laplace transform of the following: a. 1/[(s-2)^2 + 9] b. s(s^2 - 9)/(s^2…

A:

Q: Practice Problem 15.4 Find the Laplace transform of ft) = cos 3t u(1).

A:

Q: Find the Laplace Transform of the following periodic functions e2#(1-s) –1 3) f(t)= e', (0<t< 2n)…

A: Given periodic function is  ft=et                      0&lt;t&lt;2π if signal xt=∑n=0∞ft-nt0…

Q: 2 F(S) = (35-2) (25-1) (35+2)

A:

Q: Determine the inverse laplace transform of (s+a) / [(s+a) ^2 + w^2]

A: In this question,  Determine the inverse Laplace transform of the F(s) = (s+a)/[(s+a)2 +w2 ] We are…

Q: Given Figure 1 below, (a) simplify the block diagram and obtain the transfer function, (b) obtain…

A:

Q: FIND THE INVERSE LAPLACE OF: 10 5 18 F(s) 6. S-4 (s–5)* 2 S+9

A:

Q: 0 st 3 Find the Laplace Transform of f (t) =

A:

Q: Q. No. 16 The Laplace transform of the following signal S(1) = (t - 1)u(t - 2) is

A: Given signal, f(t)=(t-1)u(t-2)

Q: Given the closed loop transfer function described by the Laplace transfer function: 20(s+6) G(s) =…

A: Given, Closed loop transfer function, Gs=20s+6s+2s2+2s+4

Q: Question 1 Find the capacitor voltage vc(t) by Laplace Transform. (2 – 2t 0<t<1 i(t) = {0 R = 1N , C…

A:

Q: Find the Laplace transformation of the following functions: 3. f(t) = sin (t)cos (t) + 2cosh (3t)

A:

Q: Find the Laplace Transform of the following periodic functions -27s TTS-1+(T S +1)e s'(1-e2) 1) f(1)…

A: As per our guidelines we are supposed to be answer the first question only. Kindly repost the other…

Q: Find the inverse Laplace transform of the function 6. F(s) =- (s+2)*(s+3)'

A: Given:  The function is Fs=6s+22s+3

Q: Q3: Find the Laplace transform of the following signals 10 2. (0) -2 2 3 -10

A:

Q: a) Determine all possible signal having Laplace transform as below. s + 3 s(s + 1)(s + 2)

A:

Q: H.W: Find the Laplace Transform of the following: 1. te-3t sin 2t 7. $ 10-11₂ -3t sin 2t dt eje 8.…

A: NOTE:  As per our company guidelines we are supposed to answer only first three sub parts. Kindly…

Q: Find the bilateral Laplace transform of the signal x(t) = sin(at) u (t)

A:

Q: Consider the following circuit: R L2 Vs L1 C V 1. Use the symblic math operations to find the…

A:

Q: H.W: Find the Laplace Transform of the following: 1) L(2+e³t+ cos2t + sin 6t) 2) L(e-²t cos3t) 3)…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The ROC for the bilateral Laplace transform of x(t) = e (a) Re(s)-a -atu is, (c) -a<Re(s) <0 (d) ROC…

A: ROC for the bilateral transform of x(t)x(t) =e-atu(t)x(s)=∫-∞∞e-atu(t)e-stdt      =∫0∞e-ate-stdt…

Q: What is the inverse Laplace transform of s / ( s^2 + w^2 )? ans: cos wt

A:

Q: 1Ω is 0.2 H 1. The order of the circuit is: 2. The impedance of the inductor is bs. What is b? 3.…

A: Order of circuit is equal to no. Of storage elements. S domain representation of inductor is SL  And…

Q: Problem 4: Briefly answer the following question: The Fourier Transform and the Laplace Transform…

A: The time domain signals can be continuous or discrete. The time domain signals can be periodic as…

Q: Consider the circuit where the initial current in the inductor is29 mA and the initial voltage…

A: To determine the output of the circuit given in example 13.3. Apply KCL at node for t&gt;0, redraw…

Q: Given, r(t) = 3t^2, therefore its laplace transform is O a 6/s^3 O b. 6/ s^2 Oc 3/ s^2 O d. 8/ s^3

A:

Q: Find the voltage v,(1) in the circuit of Fig. 16.55 by means of the Laplace transform. IH ww 10u(1)…

A:

Q: Solve all parts.

A: a). The frequency response of the system is:

Q: 3. Find the Laplace transform of the following signals= (a) h(t)= tu(t –5) (b) g(t)=4e +e sin 2t %3D

A: Laplace transform: The Laplace transform will change the problem from a temporal differential…

Q: 3.48. Find the Laplace transform of x(t) (e' cos 2t - 5e ")u(t)+- (-1)

A: The given question has two terms of for which we will find Laplace transform. We have: x(t)=A+B…

Q: -0, t 0

A:

Q: 2. Obtain the inverse Laplace transreym of: 5(s + 2) s(s + 1)(s + 3) F(s)

A:

Q: 2 H 3 Q + 40x 0.5 F Vs

A:

Q: 1- Find the Laplace transform and the corresponding ROC of the following signals. -…

A:

Q: Calculate (find) the laplace transform of the signal given below. 0 t<0} f(t) = {te-3t tz 03

A: Need to find laplace transform of f(t)

Q: Consider the circuit in figure 1 with initial conditions of Vd(0) = 5 V, IL(0) 0 A a) %3D (1) Redraw…

A:

Q: 2. For the given transfer function, find the locations of the poles and zeros, plot them on the…

A: poles are the roots of denominator polynomial and zeroes are the roots of numerator polynomial .…

Transfer function

A transfer function (also known as system function or network function) of a system, subsystem, or component is a mathematical function that modifies the output of a system in each possible input. They are widely used in electronics and control systems.

Convolution Integral

Among all the electrical engineering students, this topic of convolution integral is very confusing. It is a mathematical operation of two functions f and g that produce another third type of function (f * g) , and this expresses how the shape of one is modified with the help of the other one. The process of computing it and the result function is known as convolution. After one is reversed and shifted, it is defined as the integral of the product of two functions. After producing the convolution function, the integral is evaluated for all the values of shift. The convolution integral has some similar features with the cross-correlation. The continuous or discrete variables for real-valued functions differ from cross-correlation (f * g) only by either of the two f(x) or g(x) is reflected about the y-axis or not. Therefore, it is a cross-correlation of f(x) and g(-x) or f(-x) and g(x), the cross-correlation operator is the adjoint of the operator of the convolution for complex-valued piecewise functions.