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So the time domain for this is v(t) = (1-cos(10pi))[u(t) - u(t-0.1)] + 2[u(t-0.1) - u(t-0.15)] + ...
So the time domain for this is
v(t) = (1-cos(10pi))[u(t) - u(t-0.1)] + 2[u(t-0.1) - u(t-0.15)] +
(-40t+0.2)[u(t-0.15) - u(t-0.25)] + (-2)[u(t-0.25)-u(t-0.3)] +
(2e^(-5(t-0.3)))[u(t-0.3)]
but the equation was reduced before converting into S-domain and
it was reduced to :
v(t) = (-cos(10pi))u(t) + u(t) + cos(10pi)u(t-0.1) + u(t-0.1) -
40(t-0.1))u(t-0.15) + 40(t-0.25)u(t-0.25) + 2u(t-0.3) +
2e^(-5(t-0.3))u(t-0.3)
How do you adjust the time delay? Not sure if I understand how
it was done, if you can show and explain step by...
In the circuit below, determine: a) The transformed circuit in the Laplace domain b) Expression for...
In the circuit below, determine: a) The transformed circuit in the Laplace domain b) Expression for V(s) c) i(t); t 0 using transform techniques 422 302 2u(t) Is + I 4u(-t)
For the circuit below, if vs(t)=47t V and iL(0)=7 A, find iin(t) for t>0 in IL...
For the circuit below, if
vs(t)=47t V and
iL(0)=7 A, find
iin(t) for t>0
in IL 10Ω 5 H
Problem 1: Find the Laplace transform X(s) of x(0)-6cos(Sr-3)u(t-3). 10 Problem 2: (a) Find the inverse...
Problem 1: Find the Laplace transform X(s) of x(0)-6cos(Sr-3)u(t-3). 10 Problem 2: (a) Find the inverse Laplace transform h() of H(s)-10s+34 (Hint: use the Laplace transform pair for Decaying Sine or Generic Oscillatory Decay.) (b) Draw the corresponding direct form II block diagram of the system described by H(s) and (c) determine the corresponding differential equation. Problem 3: Using the unilateral Laplace transform, solve the following differential equation with the given initial condition: y)+5y(0) 2u), y(0)1 Problem 4: For the...
Please help to answer this question and show the work clearly because I want to learn....
Please help to answer this question and show the work clearly
because I want to learn. I will give thumbs up for sure, thank you
very much!!!
lebi, 03134\. The Assume that a circuit has the impulse response of h(t)= { 10, elsewhere input x(t) to the circuit is given by x(t)=6u(t), where u(t) is the unit step function. Assume that the circuit output is given by y(t). a) (20 pts) Use the convolution integral to derive the expressions for...
TEE301/05 Question 3 (20 marks) An RLC circuit with a 1V DC source is shown in...
TEE301/05 Question 3 (20 marks) An RLC circuit with a 1V DC source is shown in Fig. 1: i(t) Vout - R-0.22 L-0.1 H C- 10 F Fig. 1 (a) List two properties of Laplace transform. Explain these two properties. [6 marks] (b) Assume that the initial inductor current is OA and initial capacitor voltage is 0.4 V 4 marks] (c) Determine the current, t) in time domain by performing inverse Laplace transform. [4 marks) determine the expression of the...
1. Sketch a graph of the following function: f(t)-5(H(t) -2H(t-1)+ H(t-2)) 2. Use the definiton of...
1. Sketch a graph of the following function: f(t)-5(H(t) -2H(t-1)+ H(t-2)) 2. Use the definiton of the Laplace Transform to show that -5s 3. Find the inverse Laplace transform of the following: (a) T(s)-( (b) Y(s)=式 ) (劫 +3s 4. Solve the the following initial value problem: Sketch the function, f(), and the solution vit) on the same graph. 5. Solve the the following initial value problem: y" + 144y = δ(t); y(0) = 0, ช่ (0) =0
V. 8 ??? Given: There is no energy stored in this circuit prior to t o....
V. 8 ??? Given: There is no energy stored in this circuit prior to t o. The voltage source V, -1 R-125 ? (Ohm) Find the defined current I in the s domain. 0V for t20 L-1 H C 1 mF (milli F) I(s) (s
1. Determine the Laplace transform of the following signals e* .11(t) ; (b) g(t)=Icos(2) + sin(2t)j.u(1-3)...
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...
8–31 A voltage vs(t) = 50 cos (5000t) V is applied to the circuit in Figure...
8–31 A voltage vs(t) = 50 cos (5000t) V is applied to the circuit in Figure P8–31. (a) Convert the circuit into the phasor domain. (b) Find the phasor current flowing through the circuit and the phasor voltages across the inductor and the resistor. (c) Plot all three phasors from (b) on a phasor diagram. Describe if the current leads or lags the inductor voltage. i(t) 50 22 25 mH 00 + VL(t) - + Vr(t)- vs(t) (+) FIGURE P8-31
So the time domain for this is
v(t) = (1-cos(10pi))[u(t) - u(t-0.1)] + 2[u(t-0.1) - u(t-0.15)] +
(-40t+0.2)[u(t-0.15) - u(t-0.25)] + (-2)[u(t-0.25)-u(t-0.3)] +
(2e^(-5(t-0.3)))[u(t-0.3)]
but the equation was reduced before converting into S-domain and
it was reduced to :
v(t) = (-cos(10pi))u(t) + u(t) + cos(10pi)u(t-0.1) + u(t-0.1) -
40(t-0.1))u(t-0.15) + 40(t-0.25)u(t-0.25) + 2u(t-0.3) +
2e^(-5(t-0.3))u(t-0.3)
How do you adjust the time delay? Not sure if I understand how
it was done, if you can show and explain step by...
In the circuit below, determine: a) The transformed circuit in the Laplace domain b) Expression for V(s) c) i(t); t 0 using transform techniques 422 302 2u(t) Is + I 4u(-t)
For the circuit below, if
vs(t)=47t V and
iL(0)=7 A, find
iin(t) for t>0
in IL 10Ω 5 H
Problem 1: Find the Laplace transform X(s) of x(0)-6cos(Sr-3)u(t-3). 10 Problem 2: (a) Find the inverse Laplace transform h() of H(s)-10s+34 (Hint: use the Laplace transform pair for Decaying Sine or Generic Oscillatory Decay.) (b) Draw the corresponding direct form II block diagram of the system described by H(s) and (c) determine the corresponding differential equation. Problem 3: Using the unilateral Laplace transform, solve the following differential equation with the given initial condition: y)+5y(0) 2u), y(0)1 Problem 4: For the...
Please help to answer this question and show the work clearly
because I want to learn. I will give thumbs up for sure, thank you
very much!!!
lebi, 03134\. The Assume that a circuit has the impulse response of h(t)= { 10, elsewhere input x(t) to the circuit is given by x(t)=6u(t), where u(t) is the unit step function. Assume that the circuit output is given by y(t). a) (20 pts) Use the convolution integral to derive the expressions for...
TEE301/05 Question 3 (20 marks) An RLC circuit with a 1V DC source is shown in Fig. 1: i(t) Vout - R-0.22 L-0.1 H C- 10 F Fig. 1 (a) List two properties of Laplace transform. Explain these two properties. [6 marks] (b) Assume that the initial inductor current is OA and initial capacitor voltage is 0.4 V 4 marks] (c) Determine the current, t) in time domain by performing inverse Laplace transform. [4 marks) determine the expression of the...
1. Sketch a graph of the following function: f(t)-5(H(t) -2H(t-1)+ H(t-2)) 2. Use the definiton of the Laplace Transform to show that -5s 3. Find the inverse Laplace transform of the following: (a) T(s)-( (b) Y(s)=式 ) (劫 +3s 4. Solve the the following initial value problem: Sketch the function, f(), and the solution vit) on the same graph. 5. Solve the the following initial value problem: y" + 144y = δ(t); y(0) = 0, ช่ (0) =0
V. 8 ??? Given: There is no energy stored in this circuit prior to t o. The voltage source V, -1 R-125 ? (Ohm) Find the defined current I in the s domain. 0V for t20 L-1 H C 1 mF (milli F) I(s) (s
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...
8–31 A voltage vs(t) = 50 cos (5000t) V is applied to the circuit in Figure P8–31. (a) Convert the circuit into the phasor domain. (b) Find the phasor current flowing through the circuit and the phasor voltages across the inductor and the resistor. (c) Plot all three phasors from (b) on a phasor diagram. Describe if the current leads or lags the inductor voltage. i(t) 50 22 25 mH 00 + VL(t) - + Vr(t)- vs(t) (+) FIGURE P8-31
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