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It is known that li(t) = S(t) A...
8 H 2 Q iL Vs (t 22 1. vs (t) 2 V; this is a...
8 H 2 Q iL Vs (t 22 1. vs (t) 2 V; this is a dc source. Solve using a simple circuit analysis method 2. Us (t) 2u (t) V; solve by writing and solving the differential equation for the circuit, as in Ch. 8. You = = 0 for t0. can assume that ir 2u (t) V; solve using the Thévenin method, as in Ch. 8. You can assume that i, = 0 for t< 0. 3. vg...
need asap 1, (20 points) Suppose we have a İTİ system with impulse response(h(t) described as...
need asap
1, (20 points) Suppose we have a İTİ system with impulse response(h(t) described as following h(t) 6u(t) where u(t) is unit step function. The output(Y (s)) is expressed as the product of input (R(s)) and transfer function Y(s) = R(s)H(s) The Laplace transform is defined as LTI system R(H) Y (s) Figure 1: LTI system in s-plane (a) (5 points) Find the tranisfer function(H(s)) of the LITI system. (b) (5 points) Find the Laplace transform of the input(r(t)....
၀ရ R - + vo(t) v(t) C Figure Q7 (a) 07 (a) A second order RLC...
၀ရ R - + vo(t) v(t) C Figure Q7 (a) 07 (a) A second order RLC circuit is given in Figure Q7 (a). Determine; (i) the time domain input-output relationship of the RLC circuit, (3 marks) (ii) the frequency response, H(W) of the circuit, (3 marks) (iii) the impulse response, h(t) given that R = 12, C = 1 F and L = 2 H. (4 marks) (b) An input vi(t) = e-ztu(t) is passed as the input to the...
i need this explained clearly and neatly. thank you. like for the best answer. (50 pts.)...
i need this explained clearly and neatly. thank you.
like for the best answer.
(50 pts.) For the circuit below the switch opens at t = 0. a. Transform the circuit into the Laplace Transform domain fort 20. b. Determine V. (s), the Laplace Transform of the voltage across the capacitor. VCCS) c. Determine (t), + 2 0 using Laplace Transform techniques only. Ін W tt Co?n şi 0.25 F 24 V EclH
problem 7 Problem-4 [10 Points] Find the Laplace transforms of the functions in Figure. 2 Figure....
problem 7
Problem-4 [10 Points] Find the Laplace transforms of the functions in Figure. 2 Figure. 2: Triangular Function Problem-5 [10 Pointsl A system has the transfer function h(s) = (s1)(s +2) a) Find the impulse response of the system b) Determine the output y(t), given that the input is x(t) u(t) Problem-6 [10 Pointsl Use the Laplace transform to solve the differential equation +22+10v(t) 3 cos(2t) dt2 dt subject to v(0)-1, dv(O) Problem-7 [10 Points] Solve the integrodifferential equation...
2. Use the property f(t) = L-1 {r(s))-(-1)"L-1 {F(n)(s)} (-t)n and choose n = 1 to perform the fo...
2. Use the property f(t) = L-1 {r(s))-(-1)"L-1 {F(n)(s)} (-t)n and choose n = 1 to perform the following inverse Laplace transform L-1 (F(s)): (1). F(s)=ln-s-3 V s + 1 (Answer:- (e3t-le-t) ) (2). F(s) - arctan(2s) (Answer: tsin )
2. Use the property f(t) = L-1 {r(s))-(-1)"L-1 {F(n)(s)} (-t)n and choose n = 1 to perform the following inverse Laplace transform L-1 (F(s)): (1). F(s)=ln-s-3 V s + 1 (Answer:- (e3t-le-t) ) (2). F(s) - arctan(2s) (Answer: tsin )
Please I need help with Q2 ASAP, please explain in the most simplest way as possible...
Please I need help with Q2 ASAP, please explain in the
most simplest way as possible and please write clearly. Thanks in
advance.
the unit step function 2. Consider the electrical circuits shown in figure. (30%) (1) Find the transfer function relating the output voltage V,(s) to the input voltage V (2) Find the differential equation relating the output voltage v,(t) to the input voltage 0. (3) Find the differential equation relating the output voltage v,() to the input voltage...
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...
HI, PLEASE ANSWER ALL PARTS AND PLEASE SHOW ALL WORKINGS STEP BY STEP. THANK YOU. Question...
HI, PLEASE ANSWER ALL PARTS AND PLEASE SHOW ALL WORKINGS STEP BY STEP. THANK YOU. Question 1: a) Show from first principles that the Laplace transform of the function f(n)=1, 120 is f(s) = Make a note of any conditions imposed on the transform variable "s" to ensure the transform exists. (8 Marks) b) Find, using the appropriate theorem, the Laplace transform of a function f(t); b) f(t) = t.sin(56) OR ii) f(t) = 5 sin 2(t - 3). H(t...
Question 4. Refer to the circuit of Figure 4. R 802 50 uF с vi(t) v.(t)...
Question 4. Refer to the circuit of Figure 4. R 802 50 uF с vi(t) v.(t) Figure 4 a) Draw the circuit in the Laplace domain, and then apply basic circuit theory in the Laplace domain to show that the Laplace transfer function H(s) defined for this system is: HS) V.(5) V (5) sta where a= RC [8 Marks] b) Use Laplace methods to determine the output voltage vo(t) when the input voltage is defined as: v (1) 40(1) The...
8 H 2 Q iL Vs (t 22 1. vs (t) 2 V; this is a dc source. Solve using a simple circuit analysis method 2. Us (t) 2u (t) V; solve by writing and solving the differential equation for the circuit, as in Ch. 8. You = = 0 for t0. can assume that ir 2u (t) V; solve using the Thévenin method, as in Ch. 8. You can assume that i, = 0 for t< 0. 3. vg...
need asap
1, (20 points) Suppose we have a İTİ system with impulse response(h(t) described as following h(t) 6u(t) where u(t) is unit step function. The output(Y (s)) is expressed as the product of input (R(s)) and transfer function Y(s) = R(s)H(s) The Laplace transform is defined as LTI system R(H) Y (s) Figure 1: LTI system in s-plane (a) (5 points) Find the tranisfer function(H(s)) of the LITI system. (b) (5 points) Find the Laplace transform of the input(r(t)....
၀ရ R - + vo(t) v(t) C Figure Q7 (a) 07 (a) A second order RLC circuit is given in Figure Q7 (a). Determine; (i) the time domain input-output relationship of the RLC circuit, (3 marks) (ii) the frequency response, H(W) of the circuit, (3 marks) (iii) the impulse response, h(t) given that R = 12, C = 1 F and L = 2 H. (4 marks) (b) An input vi(t) = e-ztu(t) is passed as the input to the...
i need this explained clearly and neatly. thank you.
like for the best answer.
(50 pts.) For the circuit below the switch opens at t = 0. a. Transform the circuit into the Laplace Transform domain fort 20. b. Determine V. (s), the Laplace Transform of the voltage across the capacitor. VCCS) c. Determine (t), + 2 0 using Laplace Transform techniques only. Ін W tt Co?n şi 0.25 F 24 V EclH
problem 7
Problem-4 [10 Points] Find the Laplace transforms of the functions in Figure. 2 Figure. 2: Triangular Function Problem-5 [10 Pointsl A system has the transfer function h(s) = (s1)(s +2) a) Find the impulse response of the system b) Determine the output y(t), given that the input is x(t) u(t) Problem-6 [10 Pointsl Use the Laplace transform to solve the differential equation +22+10v(t) 3 cos(2t) dt2 dt subject to v(0)-1, dv(O) Problem-7 [10 Points] Solve the integrodifferential equation...
2. Use the property f(t) = L-1 {r(s))-(-1)"L-1 {F(n)(s)} (-t)n and choose n = 1 to perform the following inverse Laplace transform L-1 (F(s)): (1). F(s)=ln-s-3 V s + 1 (Answer:- (e3t-le-t) ) (2). F(s) - arctan(2s) (Answer: tsin )
2. Use the property f(t) = L-1 {r(s))-(-1)"L-1 {F(n)(s)} (-t)n and choose n = 1 to perform the following inverse Laplace transform L-1 (F(s)): (1). F(s)=ln-s-3 V s + 1 (Answer:- (e3t-le-t) ) (2). F(s) - arctan(2s) (Answer: tsin )
Please I need help with Q2 ASAP, please explain in the
most simplest way as possible and please write clearly. Thanks in
advance.
the unit step function 2. Consider the electrical circuits shown in figure. (30%) (1) Find the transfer function relating the output voltage V,(s) to the input voltage V (2) Find the differential equation relating the output voltage v,(t) to the input voltage 0. (3) Find the differential equation relating the output voltage v,() to the input voltage...
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...
HI, PLEASE ANSWER ALL PARTS AND PLEASE SHOW ALL WORKINGS STEP BY STEP. THANK YOU. Question 1: a) Show from first principles that the Laplace transform of the function f(n)=1, 120 is f(s) = Make a note of any conditions imposed on the transform variable "s" to ensure the transform exists. (8 Marks) b) Find, using the appropriate theorem, the Laplace transform of a function f(t); b) f(t) = t.sin(56) OR ii) f(t) = 5 sin 2(t - 3). H(t...
Question 4. Refer to the circuit of Figure 4. R 802 50 uF с vi(t) v.(t) Figure 4 a) Draw the circuit in the Laplace domain, and then apply basic circuit theory in the Laplace domain to show that the Laplace transfer function H(s) defined for this system is: HS) V.(5) V (5) sta where a= RC [8 Marks] b) Use Laplace methods to determine the output voltage vo(t) when the input voltage is defined as: v (1) 40(1) The...
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